Five Years Integrated Program - NIT...

Five Year Integrated M. Sc Program in Chemistry/ Physics/ Mathematics -2015 1 | P a g e

Course Structure and Detailed Syllabus

for

Five – Years Integrated Program

M. Sc. in Chemistry

M. Sc. in Mathematics

M. Sc. in Physics

Total 200 Credits

Session 2015-16 (Ver-1.1)

National Institute of Technology Patna Ashok Rajpath, Patna – 800005, Bihar


Table of Contents Course Code Format for UG and PG Program: ........................................................................................ 8

Common Course Structure: 1st and 2nd Semester of B. Tech and Five year Integrated M. Sc. Program ................................................................................................................................................................. 9

Course Structure: Five year Integrated M. Sc. in Chemistry ................................................................. 10

Course Structure: Five year Integrated M. Sc. in Mathematics ............................................................ 13

Course Structure: Five Year Integrated M. Sc. in Physics: ..................................................................... 16

Common Syllabus: Semester-I and II - Five year Integrated M. Sc. Program ........................................ 18

MA101 Mathematics – I ................................................................................................................. 18 MA102 Mathematics – II ................................................................................................................ 18 PH101 Engineering Physics ........................................................................................................... 19 PH102 Engineering Physics Lab ..................................................................................................... 20 PH103 Materials Science and Technology .................................................................................... 20 CH101A CHEMICAL SCIENCES - I...................................................................................................... 23 CH102A CHEMICAL SCIENCES LAB - I .............................................................................................. 24 HS101 English Literature ............................................................................................................... 24 HS102 Communication skill development and Technical Writing ................................................ 25 HS103 Remedial English ............................................................................................................... 27 HS104 Language Lab ..................................................................................................................... 27 HS105 Science Society and Ethical Values .................................................................................... 28 CE101 Engineering Mechanics...................................................................................................... 28 CS101 Introduction to Computing ................................................................................................ 29 EC101 Elements of Electronics Engineering ................................................................................. 30 EC102 Elements of Electronics Lab ............................................................................................... 32 EE101 Elements of Electrical Engineering .................................................................................... 32 EE102 Elements of Electrical Engineering Lab ............................................................................. 33 ME101 Engineering Graphics ......................................................................................................... 33 ME102 Workshop Practice ............................................................................................................. 34

Detailed Syllabus: Five year Integrated M. Sc. in Chemistry ................................................................. 35

Semester III ............................................................................................................................................ 35

CH105 CHEMICAL BIOLOGY .......................................................................................................... 35 CH106 PHYSICAL CHEMISTRY - I: PHYSICAL PROPERTIES .............................................................. 35 CH107 PHYSICAL CHEMISTRY LAB - I ............................................................................................. 36 CH108 ORGANIC CHEMISTRY - I: REACTION MECHANISMS and NAME REACTIONS .................... 36 CH109 INORGANIC CHEMISTRY - I: BONDING and ACID-BASE ..................................................... 37

Semester IV ........................................................................................................................................... 37

CH104A GREEN TECHNOLOGY (Environmental Science) ................................................................ 37 CH110 CHEMICAL THERMODYNAMICS ......................................................................................... 38 CH111 ORGANIC CHEMISTRY - II: MODERN REAGENTS and THEIR APPLICATION........................ 39 CH112 ORGANIC CHEMISTRY LAB - I ............................................................................................. 41 CH113 INORGANIC CHEMISTRY II: REDOX and MAIN GROUP ELEMNETS .................................... 41 CH114 INORGANIC CHEMISTRY LAB - I: Inorganic Qualitative Analysis........................................ 41 HS109 INDUSTRIAL MANAGEMENT and PSYCHOLOGY ................................................................ 42

Semester V ............................................................................................................................................ 42

CH115 PHYSICAL CHEMISTRY II: CHEMICAL KINETICS and ELECTROCHEMISTRY ......................... 42 CH116 PHYSICAL CHEMISTRY LAB - II ............................................................................................ 42 CH117 ORGANIC CHEMISTRY III: PERICYCLIC AND PHOTOCHEMICAL REACTIONS ...................... 43 CH118 INORGANIC CHEMISTRY III: d- and f-BLOCK ELEMENTS .................................................... 43 CH119 MOLECULAR SPECTROSCOPY ............................................................................................ 44


Semester VI ........................................................................................................................................... 45

CH120 PHYSICAL CHEMISTRY – III: PHASE and QUANTUM CHEMISTRY ....................................... 45 CH121 ORGANIC CHEMISTRY - IV: PHYSICL ORGANIC CHEMISTRY .............................................. 46 CH122 ORGANIC CHEMISTRY LAB - II ............................................................................................ 46 CH123 INORGANIC CHEMISTRY - IV: ORGANOMETALLIC CHEMISTRY ......................................... 46 CH124 INORGANIC CHEMISTRY LAB - II: Inorganic Quantitative Analysis .................................... 47 CH125 ANALYTICAL and BIOINORGANIC CHEMISTRY ................................................................... 47 CH126 BIOCHEMISTRY .................................................................................................................. 48

Semester VII .......................................................................................................................................... 48

CH131 PHYSICAL CHEMISTRY - IV: QUANTUM, SPECTROSCOPY and STATISTICAL THERMODYNAMICS ........................................................................................................................... 48 CH132 BIOMOLECULES: STRUCTURE AND REACTIVITY ................................................................ 49 CH133 NANOMATERIALS .............................................................................................................. 50 CH134 POLYMER CHEMISTRY ....................................................................................................... 50 CH135 INDUSTRIAL CHEMISTRY .................................................................................................... 50 CH191 PHYSICAL AND BIOCHEMISTRY LAB ................................................................................... 51 CH192 SCIENTIFIC COMPUTING .................................................................................................... 51 CH190 INDUSTRIAL TRAINING ...................................................................................................... 52

Semester VIII ......................................................................................................................................... 52

CH141 SPECTROSCOPIC METHODS FOR STRUCTURE DETERMINATION ...................................... 52 CH142 GROUP THEORY and ITS CHEMICAL APPLICATION ............................................................ 53 CH193 ORGANIC CHEMISTRY LAB - III ........................................................................................... 53 CH194 INORGANIC CHEMISTRY LAB - III ....................................................................................... 53

ELECTIVE COURSES (4TH and 5TH YEAR) ............................................................................................... 54

GROUP A. PHYSICAL CHMISTRY COURSES ............................................................................................. 54

CH621 Advanced Quantum Mechanics ........................................................................................ 54 CH622 Biophysical Chemistry ....................................................................................................... 54 CH623 Photophysics...................................................................................................................... 54 CH624 Plasmonic Nanomaterials: Properties and Application ..................................................... 55

GROUP B. ORGANIC CHEMISTRY COURSES ........................................................................................... 55

CH631 Chemistry of Natural Products .......................................................................................... 55 CH632 Medicinal Chemistry .......................................................................................................... 56 CH633 Art in Organic Synthesis .................................................................................................... 57 CH634 Chemistry of Heterocyclic Compounds ............................................................................. 57

GROUP C. INORGANIC CHEMISTRY COURSES ....................................................................................... 57

CH641 Supramolecular Chemistry ................................................................................................ 57 CH642 Chemistry of Materials ...................................................................................................... 58 CH643 Coordination Chemistry .................................................................................................... 58 CH644 Frontiers in Bioinorganic Chemistry .................................................................................. 58

Detailed Syllabus: Five year Integrated M. Sc. in Mathematics ............................................................ 59

First Year Semester-I and II ................................................................................................................... 59

Semester-III ........................................................................................................................................... 59

MA107 Probability and Statistics for Engineers (Elective-II) .......................................................... 59 MA107 Probability and Statistics ................................................................................................... 60 MA108 Numerical Methods for Engineers (Elective-II) .................................................................. 60 MA109 Linear Algebra .................................................................................................................... 61 MA110 Numerical Solutions of ODE and PDE (Elective-II) ............................................................. 61 MA111 Complex Variables and PDE: Mathematics - III ................................................................. 62 MA112 Data Structure and Algorithms .......................................................................................... 63 MA113 Object Oriented Programming in C++ ............................................................................... 63


Semester-IV ........................................................................................................................................... 63

MA115 Numerical Technique, Statistical Methods: Mathematics - IV .......................................... 63 MA116 Mathematics - IV Computing Lab ...................................................................................... 64 MA117 Discrete Mathematics ....................................................................................................... 64 MA118 Algebra - I .......................................................................................................................... 64 MA119 Analysis - I .......................................................................................................................... 65

Semester-V ............................................................................................................................................ 65

MA121 Topology ............................................................................................................................ 65 MA122 Advanced Calculus ............................................................................................................. 65 MA123 Ordinary Differential Equation .......................................................................................... 65 MA124 Numerical Analysis ............................................................................................................ 66 MA126 Functional Analysis ............................................................................................................ 66

Semester-VI ........................................................................................................................................... 67

MA127 Operation Research ........................................................................................................... 67 MA129 Partial Differential Equation .............................................................................................. 67 MA130 Measure Theory and Integration ...................................................................................... 67

Semester-VII .......................................................................................................................................... 68

MA131 Introduction to Continuum Mechanics ............................................................................. 68 MA132 Numerical Solutions of Ordinary and Partial Differential Equations ................................. 68

Semester-VIII ......................................................................................................................................... 68

MA135 Theory of Computation ..................................................................................................... 68 MA136 Mathematical Logic ........................................................................................................... 69

GROUP – A ELECTIVES ........................................................................................................................... 70

MA141 Probability Theory – I ........................................................................................................ 70 MA142 Algebra – II ......................................................................................................................... 70 MA143 Commutative Algebra ........................................................................................................ 70 MA144 Differential Geometry ....................................................................................................... 70 MA145 Algebraic Topology ............................................................................................................ 71 MA146 Number Theory ................................................................................................................. 71 MA147 Applied Matrix Theory ....................................................................................................... 71 MA148 Approximation Theory....................................................................................................... 71 MA149 Advanced Complex Analysis .............................................................................................. 71 MA150 Computational Linear Algebra ........................................................................................... 71 MA151 Fluid Dynamics ................................................................................................................... 72 MA152 Statistical Inference - I ....................................................................................................... 72

GROUP – B ELECTIVES ........................................................................................................................... 73

MA161 Probability Theory – II ....................................................................................................... 73 MA162 Stochastic Process ............................................................................................................. 73 MA163 Mathematical Methods ..................................................................................................... 73 MA164 Optimization ...................................................................................................................... 73 MA165 Statistical Simulation and Data Analysis ............................................................................ 73 MA166 Multivariate Analysis ......................................................................................................... 74 MA167 Statistical Inference - II ...................................................................................................... 74 MA168 Time Series Analysis .......................................................................................................... 74 MA169 Finite Element Method ...................................................................................................... 74 MA171 Financial Mathematics ...................................................................................................... 74 MA172 Graph Theory and Algorithms ........................................................................................... 75 MA173 Nonlinear Dynamical Systems ........................................................................................... 75 MA174 Neural Networks ................................................................................................................ 75 MA175 Parallel Numerical Algorithms ........................................................................................... 75 MA176 Similarity Transformations and Perturbation Methods .................................................... 76


MA177 Banach Algebr .................................................................................................................... 76 MA178 Advanced Numerical Methods .......................................................................................... 76 MA179 Non Linear Programming .................................................................................................. 76 MA180 Theory of Operators .......................................................................................................... 76

Detailed Syllabus for Five-Year Integrated M. Sc. Course in Physics: ................................................... 77

First Year Semester-I and II ................................................................................................................... 77

Second Year – Third Semester ............................................................................................................... 77

PH104 Mechanics, Waves and Oscillations and Continuum Mechanics ...................................... 77 PH108 PHYSICS LAB - II .................................................................................................................. 78 PH107 Fundamentals of Bio-sciences ........................................................................................... 78 PH108 Physics Lab – II ................................................................................................................... 78

Second Year – Fourth Semester ............................................................................................................ 78

PH109 Electricity and Magnetism ................................................................................................. 78 PH110 Quantum Mechanics - I ..................................................................................................... 79 PH111 Thermodynamics ............................................................................................................... 80 PH114 Advanced Physics Lab – I ................................................................................................... 81

Third Year – Fifth Semester ................................................................................................................... 81

PH115 Classical Mechanics ........................................................................................................... 81 PH116 Electrodynamics ................................................................................................................ 82 PH117 Mathematical Methods in Physics .................................................................................... 83 PH118 Material science and Technology ...................................................................................... 85 Subject code: Humanities and Social Science (Industrial Management and Psychology) ................ 86 PH120 Advanced Physics Lab – II .................................................................................................. 86

Third Year – Sixth Semester .................................................................................................................. 86

PH121 Statistical Mechanics ......................................................................................................... 86 PH122 Mathematical Physics - II ................................................................................................... 87 PH123 Quantum Mechanics – II ................................................................................................... 87 PH124 Electronics ......................................................................................................................... 88 PH125 Condensed Matter Physics ................................................................................................ 89 PH126 Advanced Physics Lab – III ................................................................................................. 90 PH128 Physics Lab – VI (Electronics Lab.) ..................................................................................... 90

Fourth Year – Seventh Semester ........................................................................................................... 90

PH131 Computational Physics ...................................................................................................... 90 PH133 Nuclear Physics .................................................................................................................. 91 PH134 Atomic and Molecular Spectroscopy................................................................................. 91 PH135 Modern Optics ................................................................................................................... 93 PH138 Advanced Physics Lab – VI ................................................................................................. 93

Fourth Year – Eighth Semester .............................................................................................................. 94

PH141 Particle physics .................................................................................................................. 94 PH142 Modern Analytical Techniques .......................................................................................... 94 PH143 Material Synthesis: Quantum Dots to Bulk Crystals .......................................................... 95 PH190 Seminar and Review Works ............................................................................................... 95 PH149 Physics Lab – VIII ................................................................................................................ 95

Fifth Year – Ninth Semester .................................................................................................................. 95

PH150 Synthesis of Functional Materials ..................................................................................... 95 PH191 Seminar and Comprehensive Viva - I ................................................................................. 96 PH192 Thesis (To be contd...) ....................................................................................................... 96

Fifth Year – Tenth Semester .................................................................................................................. 96

PH193 Seminar and Comprehensive Viva ..................................................................................... 96 PH194 Thesis ................................................................................................................................. 96


Departmental Electives ......................................................................................................................... 96

PH151 Smart Materials ................................................................................................................. 96 PH152 Nanotechnology ................................................................................................................ 97 PH153 Synthesis and Characterization of Functional materials ................................................... 98 PH154 Material characterization Techniques ............................................................................... 98 PH155 Ion Beam Patterning and Nano-bio Technology ............................................................... 98 PH156 Quantum information, computation and Cryptography ................................................... 99 PH157 Physics of the Universe: .................................................................................................. 100 PH158 Membrane Separations: Principles, Design and Applications ......................................... 100 PH159 Electrochemical energy conversion and storage ............................................................ 101


Course Code Format for UG and PG Program:

Semester Code Course Code

1 2 3 4 5 6

5 E E 6 1 5

Semester: Department Code: Program Code with Course S. No:

1st Sem: 1 2nd Sem: 2 3rd Sem: 3 4th sem: 4 5th Sem: 5 6th Sem: 6 7th Sem: 7 8th Sem: 8 9th Sem: 9 10th Sem: A

Architecture: AR Chemistry: CH Civil Engg: CE Computer Sc Engg: CS Eletro and Comm Engg: EC Electrical Engg: EE Humanities: HS Information Tech: IT Mathematics: MA Mechanical Engg: ME Physics: PH

UG Program: 101 to 599

PG Program: 601 to 799 For different specializations different slots may be allocated, such that identification becomes

identifiable.

Any course may be offered in odd or even semester of a program. Therefore Semester code is to be pre fixed to the Course Code to identify course offed for any program and for purpose of registration


Common Course Structure: 1st and 2nd Semester of B. Tech and Five year Integrated M. Sc. Program Prog

Sl. No.

Sem Code Course Title TH/ PT

L T P Credits

Group – A (1stSem)

GR_A 1 1 GE101 PARICHAY1 PT 0 0 1 0

GR_A 2 1 HS101 English Literature2 TH 2 1 0 3

GR_A 3 1 MA101 Engineering Mathematics – I TH 3 1 0 4

GR_A 4 1 PH101 Engineering Physics TH 3 1 0 4

GR_A 5 1 PH102 Engineering Physics Lab PT 0 0 3 1

GR_A 6 1 CS101 Introduction to Computing TH 2 1 0 3

GR_A 7 1 CS102 Computing Lab PT 0 0 3 1

GR_A 8 1 EE101 Elements of Electrical Engg TH 3 1 0 4

GR_A 9 1 EE102 Elements of Electrical Engg Lab PT 0 0 3 1

GR_A 10 1 ME102 Workshop Practice PT 0 0 3 1

14 4 13 22

Group – A ( 2ndSem)

GR_A 1 2 HS102 Communication Skill Development and Technical Writing

PT 0 1 3 2

GR_A 2 2 MA102 Engineering Mathematics –II TH 3 1 0 4

GR_A 3 2 CH101 Chemical Science TH 3 0 0 3

GR_A 4 2 CH102 Chemical Science Lab PT 0 0 3 1

GR_A 5 2 HS105 Science, Society and Ethical Values TH 1 1 0 2

GR_A 6 2 CE101 Engineering Mechanics TH 3 1 0 4

GR_A 7 2 EC101 Elements of Electronics Engg TH 3 1 0 4

GR_A 8 2 EC102 Elements of Electronics Engg Lab PT 0 0 3 1

GR_A 9 2 ME101 Engineering Graphics PT 1 0 3 2

15 4 12 23

1 In First semester PARICHAY program shall be conducted in each section for 1st two weeks of admission

2 In First Year the HSS department faculties are required to evaluate student’s proficiency in English communication. If Communication Skill (Spoken and Written) of the students is found to be below normal standard, then all such students shall be offered following course in lieu of English Literature (HS101) in that semester as detailed below:

Prog Sem Code Course Title TH/ PT L T P Credits

GR_A/ B/ ARUG

1 or 2 HS103 Remedial English TH 2 0 0 2

HS104 Language Lab PT 0 0 3 1


Course Structure: Five year integrated M. Sc. in Chemistry

Semester Course code

Course Title L T P Credit

Third Semester

3rd

3PH104 Mechanics, Waves and Oscillations and Continuum Mechanics

3 1 0 4

3PH108 PHYSICS LAB - II 0 0 3 1

MA111 Complex Variables and PDE: Mathematics - III 3 1 0 4

CH105 CHEMICAL BIOLOGY 3 0 0 3

CH106 PHYSICAL CHEMISTRY - I: PHYSICAL PROPERTIES

3 0 0 3

CH108 ORGANIC CHEMISTRY - I: REACTION MECHANISMS and NAME REACTIONS

3 0 0 3

CH109 INORGANIC CHEMISTRY - I: BONDING and ACID-BASE

3 0 0 3

CH107 PHYSICAL CHEMISTRY LAB - I 0 0 3 1

Semester Total 22

Fourth Semester

4th

CH104 GREEN TECHNOLOGY (Environmental Science) 3 0 0 3

CH110 CHEMICAL THERMODYNAMICS 3 0 0 3

CH111 ORGANIC CHEMISTRY - II: MODERN REAGENTS and THEIR APPLICATION

3 1 0 4

CH113 INORGANIC CHEMISTRY - II: REDOX and MAIN GROUP ELEMENTS

3 1 0 4

CH112 ORGANIC CHEMISTRY LAB - I 0 0 3 1

CH114 INORGANIC CHEMISTRY LAB - I 0 0 3 1

HS109 INDUSTRIAL MANAGEMENT and PSYCHOLOGY 3 0 0 3

Semester Total 19

Fifth Semester

5th

CH115 PHYSICAL CHEMISTRY - II: CHEMICAL KINETICS and ELCETROCHEMISTRY

3 1 0 4

CH117 ORGANIC CHEMISTRY - III: PERICYCLIC and PHOTOCHEMICAL REACTIONS

3 1 0 4

CH118 INORGANIC CHEMISTRY - III: d- and f-BLOCK ELEMENTS

3 1 0 4

CH119 MOLECULAR SPECTROSCOPY 3 1 0 4

CH116 PHYSICAL CHEMISTRY LAB - II 0 0 3 1

PH103 MATERIALS SCIENCE and TECHNOLOGY 3 0 0 3

Semester Total 20

Sixth Semester

6th

CH120 PHYSICAL CHEMISTRY - III: PHASE and QUANTUM CHEMISTRY

3 1 0 4

CH121 ORGANIC CHEMISTRY - IV: PHYSICAL ORGANIC CHEMISTRY

3 1 0 4

CH123 INORGANIC CHEMISTRY - IV: ORGANOMETALLIC CHEMISTRY

3 1 0 4

CH125 ANALYTICAL and BIOINORGANIC CHEMISTRY 3 0 0 3

CH126 BIOCHEMISTRY 3 0 0 3




CH122 ORGANIC CHEMISTRY LAB - II 0 0 3 1

CH124 INORGANIC CHEMISTRY LAB - II 0 0 3 1

GE103 Industrial Interaction and Soft Skill Development

0 0 3 0

Semester Total 20

Summer internship (2 months) compulsory and to be done during Summer Vacation and shall be evaluation in end of 7th semester

Seventh Semester

7th

CH131 PHYSICAL CHEMISTRY - IV: QUANTUM, SPECTROSCOPY and STATISTICAL THERMODYNAMICS

3 1 0 4

CH132 BIOMOLECULES: STRUCTURE and REACTIVITY 3 0 0 3

CH133 NANOMATERIALS 3 0 0 3

CH134 POLYMER CHEMISTRY 3 1 0 4

CH135 INDUSTRIAL CHEMISTRY 2 0 0 2

CH191 PHYSICAL AND BIOCHEMISTRY LAB 0 0 3 1

CH192 SCIENTIFIC COMPUTING 0 0 3 1

CH190 INDUSTRIAL TRAINING 0 0 3 1

Semester Total 19

Eight Semester

8th

CH141 SPECTROSCOPIC METHODS FOR STRUCTURE DETERMINATION

3 1 0 4

CH142 GROUP THEORY and ITS CHEMICAL APPLICATION

3 0 0 3

CH193 ORGANIC CHEMISTRY LAB - III 0 0 3 1

CH194 INORGANIC CHEMISTRY LAB - III 0 0 3 1

CH1xx Department ELECTIVE - 1 (GROUP 1) 3 0 0 3



Semester Total 18

Ninth Semester

9th

CH1xx Department ELECTIVE - 4 (Any from Group 1 to Group -3)

3 0 0 3

DD1xx OPEN ELECTIVE - 1 3 0 0 3

DD1xx OPEN ELECTIVE - 2 3 0 0 3

CH195 Seminar and Comprehensive Viva - I 0 0 6 2

CH197 M.Sc. PROJECT (To Continue in 10th Sem) 0 0 24 8

Semester Total 19

Tenth Semester

10th

CH196 Seminar and Comprehensive Viva- II 0 0 6 2

CH198 M.Sc. PROJECT 0 0 48 16

Semester Total 18

Grand Total

200

Departmental Electives for 4th and 5th Year:

1. Group 1 (Physical Chemistry):




CH621 2. Advanced Quantum Mechanics 3 0 0 3

CH622 3. Biophysical Chemistry 3 0 0 3

CH623 4. Photo-physics 3 0 0 3

CH624 5. Plasmonic Nano Materials: Properties

and Application 3 0 0 3

6. Group 2 (Organic Chemistry):

CH631 Chemistry of Natural Products 3 0 0 3

CH632 Medicinal chemistry 3 0 0 3

CH633 Art in Organic Synthesis 3 0 0 3

CH634 Chemistry of Heterocyclic Compounds 3 0 0 3

7. Group 3 (Inorganic Chemistry)

CH641 8. Supra-molecular Chemistry 3 0 0 3

CH642 9. Chemistry of Materials 3 0 0 3

CH643 10. Coordination Chemistry 3 0 0 3

CH644 11. Frontiers in Bioinorganic Chemistry 3 0 0 3

NOTE: For Semester VIII (4th year) the elective courses are only departmental electives (each from one group/specialization).

For Semester IX (5th year), all three electives are open electives, i.e., these courses can be chosen from Departmental Electives (regardless of the grouping) as well as from the elective courses of other departments. 7


Course Structure: Five year Integrated M. Sc. in Mathematics

semester Course code


Third Semester

3rd

MA109 Linear Algebra 3 1 0 4

MA111 Complex Variables and PDE: Mathematics - III 3 1 0 4

MA112 Data Structures and Algorithms 3 0 0 3

MA113 Object Oriented Programming in C++ 3 0 0 3

MA114 Programming Lab - I 0 0 6 2

CH104 Green Technologies (Environmental Science) 3 1 0 4

Semester Total 20

Fourth Semester

4th

MA107 Probability and Statistics 3 0 0 3

MA117 Discrete Mathematics 3 1 0 4

MA118 Algebra - I 3 1 0 4

MA119 Analysis - I 3 1 0 4

HS107 Industrial Economics and Financial Management

3 0 0 3

MA120 Programming Lab - II 0 0 6 2

Semester Total 20

Fifth Semester

5th

MA121 Topology 3 1 0 4

MA122 Advanced Calculus 3 1 0 4

MA123 Ordinary Differential Equation 3 1 0 4

MA124 Numerical Analysis 3 0 0 3

MA125 Numerical Analysis Lab 0 0 3 1

MA126 Functional Analysis 3 1 0 4

Semester Total 20

Sixth Semester

6th

MA127 Operations Research 3 0 0 3

MA128 Operations Research Lab 0 0 3 1

MA129 Partial Differential Equation 3 1 0 4

MA130 Measure Theory and Integration 3 1 0 4

MA1xx Elective – 1 (From Elective Group A) 3 0 0 3

MA1xx Elective – 2 (From Elective Group A) 3 0 0 3 MA191 Seminar 0 0 6 2

GE103 Industrial Interaction and Soft Skill Development

0 0 3 0

Semester Total 20

Summer internship (2 months) compulsory and to be done during Summer Vacation and shall be evaluation in end of 7th semester

Seventh Semester

7th

MA131 Introduction to Continuum Mechanics 3 1 0 4

MA132 Numerical Solutions of Ordinary and Partial Differential Equation

3 1 0 4

MA133 Numerical ODE and PDE Lab 0 0 3 1

MA1xx Elective - 3 (From Elective Group B) 3 0 0 3

MA1xx Elective – 4 (From Elective Group B) 3 0 0 3




DD1xx Open Elective - I 3 0 0 3

MA190 Industrial Training 0 0 3 1

Semester Total 19

Eight Semester

8th

MA135 Theory of Computation 3 1 0 4

MA136 Mathematical Logic 3 0 0 3

MA1xx Elective - 5 (From Elective Group B) 3 0 0 3

MA1xx Elective – 6 (From Elective Group B) 3 0 0 3

DD1xx Open Elective – II (HSS/Science/ Engg. Dept Elective)

3 0 0 3

MA194 Minor Project 0 0 12 4

Semester Total 20

Ninth Semester

9th

MA192 Seminar and Comprehensive Viva - I 0 0 6 2

MA195 Thesis (to be continued) 0 0 48 16

Semester Total 18

Tenth Semester

10th

MA193 Seminar and Comprehensive Viva - II 0 0 6 2

MA196 Thesis 0 0 48 16

Semester Total 18

Grand Total 200

List of Electives Group - A

Group A (EL) MA141 Probability Theory- I 3 0 0 3

Group A (EL) MA142 Algebra-II 3 0 0 3

Group A (EL) MA143 Commutative Algebra 3 0 0 3

Group A (EL) MA144 Differential Geometry 3 0 0 3

Group A (EL) MA145 Algebraic Topology 3 0 0 3

Group A (EL) MA146 Number Theory 3 0 0 3

Group A (EL) MA147 Applied Matrix Theory 3 0 0 3

Group A (EL) MA148 Approximation Theory 3 0 0 3

Group A (EL) MA149 Advanced Complex Analysis 3 0 0 3

Group A (EL) MA150 Computational Linear Algebra 3 0 0 3

Group A (EL) MA151 Fluid Dynamics 3 0 0 3

Group A (EL) MA152 Statistical Inference-I 3 0 0 3

List of Electives Group - B

Group B (EL) MA161 Probability Theory- II 3 0 0 3

Group B (EL) MA162 Stochastic Processes 3 0 0 3

Group B (EL) MA163 Mathematical Methods 3 0 0 3

Group B (EL) MA164 Optimization 3 0 0 3

Group B (EL) MA165 Statistical Simulation and Data Analysis 3 0 0 3

Group B (EL) MA166 Multivariate Analysis 3 0 0 3

Group B (EL) MA167 Statistical Inference-II 3 0 0 3

Group B (EL) MA168 Time Series Analysis 3 0 0 3

Group B (EL) MA169 Finite Element Method 3 0 0 3

Group B (EL) MA170 Computational Fluid Dynamics 3 0 0 3




Group B (EL) MA171 Financial Mathematics 3 0 0 3

Group B (EL) MA172 Graph Theory and Algorithms 3 0 0 3

Group B (EL) MA173 Nonlinear Dynamical Systems 3 0 0 3

Group B (EL) MA174 Neural Network 3 0 0 3

Group B (EL) MA175 Parallel Numerical Algorithms 3 0 0 3

Group B (EL) MA176 Similarity Transformation and Perturbation Method

3 0 0 3

Group B (EL) MA177 Banach Algebra 3 0 0 3

Group B (EL) MA178 Advanced Numerical Methods 3 0 0 3

Group B (EL) MA179 Non Linear Programming 3 0 0 3

Group B (EL) MA180 Theory of Operator 3 0 0 3


Course Structure: Five Year Integrated M. Sc. in Physics:

Semester Subject code

Subjects L T P Credit

Third Semester

3rd

3MA111 Complex Variables and PDE: Mathematics - III 3 1 0 4

CH106 Physical Chemistry I: Physical Properties 3 0 0 3

CH107 Physical Chemistry Lab – I 0 0 3 1

3PH104 Mechanics, Waves and Oscillations, Continuum Mechanics

3 1 0 4

3PH105 Computational Physics - I 3 0 0 3

3PH106 Computational Physics Lab - I 0 0 3 1

3PH107 Fundamentals of Bio-sciences 3 0 0 3

3PH108 Physics Lab – II 0 0 3 1

Semester Total 20

Fourth Semester

4th

4MA115 Numerical Technique, Statistical Methods: Mathematics - IV

3 0 0 3

4MA116 Mathematics – IV Computing Lab 0 0 3 1

4CH104 Green Technology (Environmental Chemistry) 3 0 0 3

4PH109 Electricity and Magnetism 3 1 0 4

4PH110 Quantum Mechanics – I 3 1 0 4

4PH111 Thermodynamics 3 0 0 3

4PH114 Advanced Physics Lab - I 0 0 3 1

Semester Total 19

Fifth Semester

5th

5PH115 Classical Mechanics 3 1 0 4

5PH116 Electrodynamics 3 1 0 4

5PH117 Mathematical Methods in Physics 3 1 0 4

5PH118 Material Science and Technology 3 0 0 3

5DD1xx Open Elective 3 0 0 3

5PH120 Advanced Physics Lab - II 0 0 3 1

Semester Total 19

Sixth Semester

6th

6PH121 Statistical Mechanics 3 1 0 4

6PH122 Mathematical Physics - II 3 0 0 3

6PH123 Quantum Mechanics – II 3 1 0 4

6PH124 Electronics 3 0 0 3

6PH125 Condensed Matter Physics 3 0 0 3

6PH126 Advanced Physics Lab –III 0 0 3 1

6PH128 Physics Lab – IV (Electronics) 0 0 3 1

6GE103 Industrial Interaction and Soft Skill Development

0 0 3 0

Semester Total 19

Summer internship (6 weeks) compulsory and to be done during Summer Vacation and shall be evaluation in end of 7th semester Seventh Semester

7th

7PH131 Computational Physics - II 3 0 0 3

7PH132 Computational Physics Lab - II 0 0 3 1

7PH133 Nuclear Physics 3 0 0 3


Semester Subject code

Subjects L T P Credit

7PH134 Atomic and Molecular Spectroscopy 3 0 0 3

7PH135 Modern Optics 3 0 0 3

7PH1xx Elective - I 3 0 0 3

7PH138 Advanced Physics Lab – V 0 0 3 1

7PH192 Industrial Training (4 to 6 weeks after 6th Sem)

0 0 3 1

Semester Total 18

Eight Semester

8th

8PH141 Particle Physics 3 1 0 4

8PH142 Modern Analytical Techniques 3 0 0 3

8PH143 Material Synthesis 3 0 0 3

8PH144 Material Synthesis Lab 0 0 3 1

8PH146 Modelling and Simulation Lab 0 0 3 1

8PH190 Seminar and Comprehensive Viva-I 0 0 3 1

8PH149 Advanced Physics Lab – VI 0 0 6 2

8PH190 Minor Project 0 0 15 5

Semester Total 20

Ninth Semester

9th

9PH191 Seminar and Comprehensive Viva - II 0 0 6 2

9PH192 Thesis (To be contd...) 0 0 54 18

Semester Total 20

Tenth Semester

10th

10PH193 Seminar and Comprehensive Viva-III 0 0 6 2

10PH194 Thesis 0 0 54 18

Semester Total 20

Grand Total 200

List of Electives:

PH151 Smart Materials 3 0 0 3

PH152 Nanotechnology 3 0 0 3

PH153 Synthesis and Characterization of Functional materials

3 0 0 3

PH154 Material characterization Techniques 3 0 0 3

PH155 Ion Beam Patterning and Nano-bio Technology 3 0 0 3

PH156 Quantum information, computation and Cryptography

3 0 0 3

PH157 Physics of the Universe: 3 0 0 3

PH158 Membrane Separations: Principles, Design and Applications

3 0 0 3


3 0 0 3

PH159 Electrochemical energy conversion and storage

3 0 0 3


Common Syllabus: Semester-I and II - Five year Integrated M. Sc. Program The course structure is same as the general course structure for B. Tech. Program students, and so course contents also remained same. However, the syllabus for CHMICAL SCIENCE I and CHEMICAL SCIENCE LAB I is updated herein, and the same will be pursued for both B. Tech. as well as integrated M.Sc. teaching.

MA101 Mathematics – I

L-T-P-Cr: 3-1-0-4 Objective: Pre Requisites: 10+2 Mathematics Syllabus:

Matrix Algebra: Elementary row and column transformation, Inverse of the matrix , Cannonical form ,Reduction to Canonical form , rank of the matrix , solution of simultaneous linear equations, characteristic equation, eigen values and eigen vectors, Caley-Hamilton theorem, Similarity transformation 10 lectures

Differential Calculus: Successive differentiation, Leibnitz theorem, indeterminate form, Limit, continuity and differentiability of functions of several variables, partial derivatives and their geometrical interpretation, differentials, derivatives of composite and implicit functions, derivatives of higher order and their commutatively, Euler s theorem on homogeneous functions, harmonic functions, Taylor s expansion of functions of two variables, maxima and minima of functions of two variables , Lagrange s method of multipliers 12 lectures

Differential equation: Ordinary Differential Equations: First order differential equations - separable variable, homogeneous, exact, linear and Bernoulli s form. Second and higher order differential equations with constant coefficients, method of variation of parameters, Euler s equations, system of linear differential equations. 12 lectures

Infinite Series: Notion of convergence and divergence of infinite series – Ratio test, comparison test, Raabe’s test, Root test, alternating series –Leibnitz test , absolute and conditional convergence, Power series.

8 lectures

Suggested Readings:

1. Advance Engineering Mathematics – R. K. Jain and S.R.K. Iyenger, Narosa Publishing House 2. Differential Calculus – Das and Mukherjee – U.N. Dhar and Sons. 3. Advance Engineering Mathematics - E. Kreyszig, 8th Edition, John Wiley and Sons, New York 4. Advance Engineering Mathematics – Wylie and Barrett – Tata McCraw Hill 5. Linear Algebra – K. Hoffmann and R. Kunze – Prentice Hall

MA102 Mathematics – II

L-T-P-Cr: 3-1-0-4 Objective: Pre Requisites: 10+2 Mathematics and Mathematics - I Syllabus:


Unit - 1. Integral Calculus: Convergence of improper integrals – comparison test, Beta and Gamma functions (definition and related problems), differentiation under integral sign – Leibnitz rule. Double and Triple integrals, Change of Variables in double integrals, Computation of surfaces and volumes, Rectifications, Jacobians of Transformations. 12 lectures

Unit - 2. Vector Calculus: Scalar and Vector field, level surface, directional derivatives, concept of gradient, divergence and curl with examples, line integral, Green’s theorem in plane, Gauss and Stroke’s theorem with applications. 10 lectures

Unit - 3. Complex Analysis: Function of complex variables – limit, continuity, differentiability and analyticity of functions, Cauchy-Riemann equations, Laplace’s equation, harmonic function, Cauchy’s integral theorem, Cauchy’s integral formula, Taylor’s and Laurent series, Residues and its applications to evaluating real integrals. 12 lectures

Unit - 4. Probability and Statistics: Random Variable – cumulative distribution function, probability mass function, probability density function, mathematical expectation, mean, variance. 8 lectures

Suggested Readings:

1. Advance Engineering Mathematics – R. K. Jain and S.R.K. Iyenger, Narosa Publishing House

2. Advance Engineering Mathematics - E. Kreyszig, 8th Edition, John Wiley and Sons, New York

Reference Books:

1. Advance Engineering Mathematics – Wylie and Barrett – Tata McGraw Hill

2. Complex Variables and Applications – Churchill and Brown - McGraw Hill

3. Vector Analysis 2nd editions – Chatterjee, Prentice Hall of India

4. Introduction to Probability and Statistics for Engineers – S. M. Ross – John Wiley and Sons,

New York

PH101 Engineering Physics

L-T-P-Cr: 3-1-0-4 Syllabus:

Unit 1. Electrostatic and Electromagnetic theory: The three electric vectors, to show that normal component of D and tangential component of E are continuous across the boundary between two dielectrics Continuity equation for charge (SAD .5.8), displacement current (SAD 9.4), Maxwell’s Equation in free space, speed of plane electromagnetic waves traveling in vacuum, pointing vector, (SAD 9.5, 10.3-10.5, 10.7), EM waves propagation in dialectics and conductors.

Unit 2. Optics: Temporal coherence, Michelson’s interferometer for measurement of coherence length of a source, line width spatial coherence, measurement of spatial coherence using Young’s interferometer, Fraunhofer diffraction by single slit and grating.

Unit 3. Polarisation: Polarised light, production of plane polaroid technique (principal of action to be emphasised Brewster’s law, Malus law, Double refraction, production of circular and elliptical lights, analysis of unpolalrised and polarized lights, Magneto-optics effect, photo-elastic effect, electro-optic effect.


Unit 4. Lasers: Lasers and Laser light, Einstein’s A and B coefficients and the laser, population-inversion, Light amplification, Optical resonators, Characteristics of lasers, Ruby laser, How He-Ne Laser works.

Unit 5. Special theory of Relativity: Michelson – Morley’s Expt., Postulates of special theory of relativity, consequences of special theory of relativity, Galilean transformation, Lorenz transformation, Length- contraction. Time Dilation, velocity addition, Mass change and Einstein’s mass – energy relation (A.B and 1.1,1.2,1.4 and 1.7-1.9 and appendix to chapter-1)

Unit 6. Quantum Physics: Planck’s theory of black body radiation (.B and 2.3 and 9.5 &9.6) Compton effect (.B and 2.7) wave particle duality, deBroglie waves, deBroglie wave velocity, wave and group velocity, Davission and Germar experiment Heisenberg uncertainty principle, application of the uncertainty principle, wave functions and wave equations, physical interpretation of wave function and their normalization,. Expectation values, Schrodinger equation time dependent form and steady state form in one dimension (Quantum mechanical operators) particle in a box.

Recommended Readings:

1. D. J. Griffith, Introduction to Electromagnetic Theory, 2. A. Ghatak, Optics, 3. A. Beiser, Prospective of Modern Physics,

PH102 Engineering Physics Lab

L-T-P-Cr: 0-0-3-1 Only six experiments re required to be done out of the following experiments:

1. To determine the Young’s Modulus of elasticity by Bending of Beam Method,

2. To determine elastic constant by Searle’s Apparatus,

3. To determine mechanical equivalent of heat by Joule’s Calorimeter,

4. To determine internal resistance of a cell by Stretched Wire Potentiometer,

5. To compare e.m.f. of two cells by Rayleigh Potentiometer,

6. To determine the frequency of electrical maintained tuning fork by Meldies’ Method,

7. to determine electronic charge by Millikon’s Oil Drop Experiment,

8. To determine the wave length of laser light (Red light) using double slit interference,

9. To produce the properties of He/Ne Laser,

10. To measure band gap energy of semiconductors

PH103 Materials Science and Technology

L-T-P-Cr: 3-0-0-3 Objective: Materials Science is backbone of technology, which provides a good understanding of the basics of materials, in terms of their structural, electrical, magnetic, optical and mechanical properties. It constitutes an important area of study for the students of various engineering disciplines and helps to create ability to apply scientific knowledge to technology. To enrich the understanding of various types of materials and their applications in different fields of engineering and technology is the main objective of this course.


PREREQUISITES: Experimental and theoretical basic knowledge of physical and chemical sciences are prerequisites.

OUTCOMES: The students will have the knowledge on physics of materials and that knowledge will be used by them in different engineering and technology applications.

Syllabus:

Unit - 1. Crystallography: Space lattices, Crystal systems and Bravais lattices, Reciprocal lattice concept. Lattice Planes, Miller Indices, Study of crystal structure by diffraction methods, Bragg’s condition for crystal diffraction. 5 Lecture

Unit - 2. Bonding and crystal imperfections: Classification of Solids, Bonding in Solids, Classification of Imperfections, Point Defect or Imperfection, Line Imperfection, Dislocation, Surface Defect or Planar Defect, Volume Defect or Bulk Defect, Stoichiometry, Nonstoichiometry and defect structures. 5 Lecture

Unit - 3. Electron Theory of Solids: Electrical Conduction, Classification of conducting Materials, Classical Free Electron or Drude – Lorentz Theory of metals, Expression for Electrical Conductivity and Drift Velocity, Thermal Conductivity, Wiedemann-Franz Law, Verification of Ohm’s Law, Classical Free Electron Theory: Advantage and Drawbacks. 6 Lecture

Unit - 4. Band Theory of Solids: Origin of Energy Gap, Kronig-Penney Model, Brillouin Zone, Explanation of Band Gap, Effective Mass of an Electron, Concept of Hole, High Resistivity Materials. Solid solutions and two phase solids, Phase diagrams of Cu-Ni and other isomorphous alloy. 5 Lecture

Unit - 5. Magnetic and Dielectric properties of materials: Magnetic parameters, Classification of Magnetic materials, Importance of Dipole moments in classification of magnetic materials, Origin of Ferromagnetism and hysteresis loop, Magnetic domains, Magnetostriction, Soft and Hard Magnetic Materials and their Applications. Magnetic anisotropy, Antiferro- and ferrimagnetism materials. Ferrites and its applications, Dielectrics: Types of polarization, Frequency and temperature dependence of polarization. Dielectric loss, dielectric breakdown, uses of dielectric materials (capacitor and transformer), ferroelectricity, piezoelectricity and their applications. 6 Lecture

Unit - 6. Semiconducting and Superconducting Materials: Conductivity of semiconductors, intrinsic and extrinsic semiconductors, n-type and p-type semiconductors, elemental and compound semiconductors, Direct and indirect band gap semiconductors, Hall effect, Variation of electrical conductivity with temperature, Variation of Fermi level with temperature. Superconductivity, General properties of superconducting materials, Types of superconductors, Thermodynamic properties of superconductors, London equations, BCS theory, applications of superconductors. 6 Lecture

Unit - 7. Advanced ceramics and composites materials: Their classification, structure, processing, properties and applications. 4 Lecture

Unit - 8. Nanophase materials: Basic principles of nanoscience and nanotechnology, Types of nanomaterials, Synthesis of Nanostructured Materials, Top-Down and Bottom-up Process, Nanotechnology and environment, Properties and possible applications to nanodevices 4 Lecture


Suggested readings:

1. V. Raghavan, Materials Science and Engineering, Prentice-Hall of India Private Limited (2003).

2. W.F. Smith, Principles of Materials Science and Engineering, McGraw Hill, New York (1994).

3. W.D.Callister, An Introduction to Materials Science and Engineering, John Wiley and Sons (2007).

4. L.H. Van Vlack, Elements of Materials Science and Engineering, Addison Wisley, New York (1985).

5. D. W. Richerson, Modern Ceramic Engineering.


CH101A Chemical Sciences - I

L-T-P-Cr: 3-0-0-3 (Effective From Session 2015-16)

Unit 1. Gases:

(a) Concept of Ideal gas, Kinetic theory of gases, interpretation of pressure and temperature, Maxwell’s distribution of speeds and Kinetic energy distribution – average, root mean square and most probable values. Principles of equipartition of energy and calculation of molar heat capacities of ideal gases. 5 Lectures

(b) Deviation from ideal behavior, compressibility factor, intermolecular interactions. van der Waals equation and its characteristics, critical states and critical constants in terms of a and b (van der Waals constants), reduced state, Law of corresponding states, virial theorem. 7 Lectures

Unit 2. Principles of Organic Chemistry:

Electronegativity, dipole moment, hydrogen bond, electron displacement effects-inductive effect, mesomeric effect or resonance, electromeric effect, hyperconjugation. Concepts of acids & bases. Chirality, optical activity and its measurement, stereoismerism. Enantiomer, diastereomer, configuration, conformation (ethane, n-butane, cyclohexane, etc.), geometrical isomerism. Projection formula of a tetrahedral carbon, symmetry elements, R/S, D/L, E/Z, threo/ erythro nomenclature. Geometrical and optical isomerism in co-ordination compounds. 14 Lectures

Unit 3. Atomic Structure:

Bohr’s theory to hydrogen-like atoms and ions; spectrum of hydrogen atom. Quantum numbers. Introduction to the concept of atomic orbitals; shapes, radial and angular probability diagrams of s, p and d orbitals (qualitative idea). Many electron atoms and ions: Pauli’s exclusion principle, Hund’s rule, exchange energy, Aufbau principle. Electronic energy level diagram and electronic configurations of hydrogen-like and polyelectronic atoms and ions. 7 Lectures

Unit 4. Periodicity of elements:

Periodic table, group trends and periodic trends in physical properties. Classification of elements on the basis of electronic configuration. Modern IUPAC Periodic table. General characteristic of s, p, d and f block elements. Effective nuclear charges, screening effects, Slater’s rules, atomic radii, ionic radii (Pauling’s univalent), covalent radii. Ionization potential, electron affinity and electronegativity (Pauling’s, Mulliken’s and Allred-Rochow’s scales) and factors influencing these properties. Inert pair effect. Group trends and periodic trends in these properties in respect of s-, p- and d-block elements. 9 Lectures

Books: 1. Chawla, S. A Textbook of Engineering Chemistry 2. Jain, P. C.; Jain, M. Engineering Chemistry 3. Atkins, P.A. Physical Chemistry, Oxford, 5th Ed. 4. Sykes, P. A guide book to Mechanism in Organic Chemistry. 5. Morrison, R. T., Boyd, R. N., Organic Chemistry, 6th ed. 6. Sarkar, R. General Chemistry Part-I and Part-II, New Central Book Agency (P) Ltd. 7. Huheey, J. H.; Keiter, E. A.; Keiter, R. L.; Medhi, O. K. Inorganic Chemistry: Principle of

structure and reactivity, 4th Ed., Pearson, New Delhi.


CH102A Chemical Sciences Lab - I


1. Estimation of Cu (II) in a Brass sample or a given solution

2. Estimation of Fe(II) in Hematite ore or a given solution

3. Determination of hardness of water by EDTA method

4. Determination of amount of NaOH and Na2CO3 in a mixture of their solution

5. Preparation of Aspirin

6. Preparation of Paracetamol

7. Determination of number of components in an organic mixture and Rf of each component using Thin Layer Chromatographic Technique

8. Synthesis and Characterization of Tris (acetylacetonato)manganese(III)

9. Preparation of buffer solution and measurement of dissociation constant of a weak acid by pH meter.

Suggested Readings:

Essential of Experimental Engineering Chemistry by Shashi Chawla.

HS101 English Literature

L-T-P-Cr: 2-1-0-3

The primary objective of the English literature Course which is being offered to students having a fair knowledge of English and a study of literature will enhance their flair in written and verbal expression.

Unit - 1. The recommended any one novels will be covered as described below: 28 Lectures

1. Oliver Twist – Charles Dickens

(a) Discussion of the Victorian age in English fiction and the role of Charles Dickens as a

novelist during this period.

(b) Introduction to Charles Dickens – his life and works.

(c) Oliver Twist as a criticism of the industrial Age.

(d) Oliver Twist as an analysis of Victorian poverty and condition of children.

(e) Discussion of the Art of Plot and Characterization.

Unit - 2. Julius Caesar – William Shakespeare

(a) Introduction to the author.

(b) A discussion of the socio political structure of the 20th century Europe up to the rise of

Communism and World War 2.

(c) Animal Farm as a political satire.

(d) Satire and Fable.

(e) Animal Farm as a fusion of Political purpose and artistic vision of the author.


Unit - 3. Julius Caesar – William Shakespeare

(a) Life of Shakespeare.

(b) Shakespeare as a Dramatist.

(c) Synopsis of the play.

(d) Justification of the title of the play.

(e) Theme of the play.

(f) Fate as the Hero of “Julius Caesar”.

(g) Superstitions in Julius Caesar.

(h) Caesar as a Marlowean Hero.

(i) Characters: Julius Caesar, Mark Antony, Marcus Brutus, Cassio.

(j) Shakespeare’s conception of tragedy.

Unit - 4. Macbeth – William Shakespeare

(a) Introduction to William Shakespeare and Historical introduction to Elizabethan and

Jacobean periods.

(b) The play as a tragedy.

(c) Definition of tragedy as in Aristotle and its application to Elizabethan tragedies.

(d) Analysis of its plot structure.

(e) Analysis of major characters such as Macbeth, Lady Macbeth and Banquo.

(f) The Elements of supernatural in the play Macbeth.

(g) The role of the Witches in the play.

(h) An analysis of figures of speech, poetic imagery and various dramatic conventions in the

play.

Text book (Novel)

1. Oliver Twist – Charles Dickens

2. Animal farm – George Orwell

3. Julius Caesar – William Shakespeare

4. Macbeth – William Shakespeare

HS102 Communication skill development and Technical Writing

L-T-P-Cr: 0-1-3-2

The primary objective of Course which is being offered to students is for Communication skill development and technical writing. The course is aimed at providing the students with language wherewithal which is an inescapable tool for the young technocrats to break the geographical boundaries and step into the global village.

1. Communicative: What is Communication? 9 Lectures

Theory: Importance of Communication:

Process of Communication:

(i) Verbal

(ii) Non-verbal


Practical:

(a) How to face an interview

(b) Group Discussion

(c) How should the Interviewer Plan and conduct the Interview.

(d) Body Language and Gesture

(e) Eye Contact

(f) Appearance

2. Listening: Its importance and Barriers to listening 12 Lectures

Theory:

(a) Listening

(b) Developing Reading Skills

(c) Developing Conversational skills

English in Formal situations

(i) Interview

(ii) At the Bank

(iii) At the Airport

(iv) At the police station

(v) Customer Care

(vi) At the Embassy

English in informal Situations

(i) At a dinner party

(ii) Booking a room at a hotel

(iii) At a travel agency

(iv) At the hospital

(v) Ask for a opinion

3. Technical Writing 3 Lectures

Suggested Readings:

1. Sreevalsan, MC; Spoken English, Vikash Publishing House, New Delhi. 2. Communication Skills; Sanjay Kumar, Pushphate, Oxford. 3. English for Engineers and Technologists, Orient Blackswan, ELT. 4. Krishna Mohan and N P Singh Speaking English Effectively. 5. Krishna Mohan, Meera Banarjee, Developing Communication Skills. 6. Frank O' Connor, Phonetics, Pengiun. 7. Business Correspondence and Report Writing- Sharma and Krishna Mohan- Tata Mgraw.

Reference Books:

8. Sardanand K, Teaching, Listening and Speaking (With Audio CD), Orient Blackswan, Hyderabad.


HS103 Remedial English

L-T-P-Cr: 2-0-0-2

The primary objective of the Course detailed for Remedial English is being offered to students weak in language who will benefit in their language skill since the syllabus is supported by the language Lab.

1. Basic Grammar - Structural Pattern 6 Lectures

(a) Articles

(b) Verbs: Auxiliaries, Finite and Non Finites.

(c) Time and Tense

(d) Subject: Verb Agreement (concord).

(e) Active and Passive Voice.

(f) Narration

2. (i) Single word / verb substitution 6 Lectures

(ii) Editing

3. Common Error, Comparison 3 Lectures

4. Antonym, homonym, Sentence, Building (Vocabulary) 5 Lectures

5. Précis, Essay, Paragraph Writing and Comprehension 4 Lectures

6. Official Correspondence, Memorandum; Circular Letter 4 Lectures

Text Books:

1. English Grammar- N.D. Turton, ABC of Common Grammatical Error for learners and Teachers. 2. English Grammar- Dr. D. Thakur 3. English Grammar- Dr. K.K. Ramchandran etal; business Communication. 4. Technical English- Sharon j Gerson and Steven M Gerson 5. Angela Burt, Quick Solutions to common Error in English. 6. W. Foulsham, The Complete letter writer. 7. John East wood- Oxford guide to English Grammar.

Suggested Readings:

8. Communication in English for Technical Student- Orient Longman. 9. G. Nagroj, English Language Teaching. 10. N. Saraswati, English language Teaching; principles and practices. 11. English for Engineers- Orient Blackswan

HS104 Language Lab

L-T-P-Cr: 0-0-3-1

The primary objective of the Course detailed for Remedial English is being offered to students weak in language who will benefit in their language skill since the syllabus is supported by the language Lab.

(i) Phonetics: 10 Lectures

(a) Sound of English (Vowels, short, Vowels, Long Vowels and consonants)

(b) Stress, Rythm, Pitch and Intonation, Accent.

(ii) English in formal situation 4 Lectures


(a) Greetings

(b) Making a Telephone Call

(c) Making apology

(d) At college

(iii) English in formal situation 4 Lectures

(a) At the Doctor's

(b) Outside the class

(c) Introducing self and other

HS105 Science Society and Ethical Values

L-T-P-Cr: 1-1-0-2

The primary objective of the Course detailed in the successive paragraphs for Science, Society and Ethical values is keeping in view the present day scenario an urgent need to introduce this subject as part of the class room curriculum was felt and hence included in the syllabus. The aim is to inculcate the right values during the period that a youngster is preparing to step into the professional world and still in the process of understanding the society and the relevance of science in the right perspective

Professional Ethics: Aim of Professionals, Responsibilities of Professionals, Right of Professionals, Impediments to responsibilities, Honesty, Integrity, Reliability, Risk, Safety and Liability, Global Issues.

Personal Ethics: Value of Self, Others and Society, Compliance with law, Social Norms.

Service to Community, Corruption, Indian and Western Culture, Simple living and high thinking, Science and Spirituality.

Suggested Readings:

1. Charles E. Harris et al, Engineering Ethics, Cengage, 2009

2. N. N. Das, Ethical Considerations.

3. R. Subramaniam, Professional Ethics Oxford University Press

CE101 Engineering Mechanics

L-T-P-Cr: 3-1-0-4

Module -I

1. Statics: Force systems: Moment of a force about a point and about an axis; Equivalent forces and moment, Wrench. 6 Lectures

2. Equilibrium: Free body diagram; equations of equilibrium; problems in two and three dimensions; Supports and reactions 3 Lectures

3. Method of sections for evaluating internal forces in bodies; axial force, shear and bending moment diagrams: 3 Lectures

4. Trusses and frames 3 Lectures

Module –II

5. Friction: Laws of Coulomb friction, impending motion problems involving large and small contact surfaces 3 Lectures

6. Principle of virtual work 3 Lectures


Module - III

7. Dynamics: Kinematics and Kinetics of particles: Particle dynamics in rectangular coordinates cylindrical coordinates and in terms of path variables. 4 Lectures

8. Kinematics and Kinetics of rigid bodies: Chasle‘s Theorem; General Plane motion; D’ Alembert’s Principal, Work and Energy and Impulse Momentum methods, Impact. 6 Lectures

Module - IV

9. Simple Stress and Strain, Hook’s Law 2 Lectures

10. Analysis of stresses, Equilibrium Equations, Generalized Hook’s Law, Elastic constants 3 Lectures

11. Analysis of strains, Normal and Shear Strains, Volumetric Strain 3 Lectures

12. Axially loaded members 3 Lectures

Suggested Readings:

1. Shames, Engineering Mechanics Pearson‘s Education. 2. Beer, F.P. and Johnston, Mechanics for Engineers, Tata McGraw Hill, New Delhi 3. Meriam, Engineering Mechanics, Wiley Pub. 2. R .C. Hibbler, Engineering Mechanics, 3. Timoshenko and Gere, Mechanics of Solids, McGraw Hill Inc 4. E.P. Popov, Mechanics of Solids, Pearson Education pub. 5. Engineering Mechanics, Timoshenko, McGraw Hill Inc.

CS101 Introduction to Computing

L-T-P-Cr: 2-1-0-3 Syllabus:

Unit - 1. Introduction to Programming, Algorithms and Flow Chart: Generation of programming languages, steps involved in Problem Solving, Algorithm, Flow chat, Pseudo code 1 Lecture

Unit - 2. Basics of C: A Simple C program, Header files, data types and sizes, Constants, variables, token, identifiers, Operators: arithmetic, relational and logical operators, increment and decrement operators, conditional operator, bit-wise operators, assignment operators; expressions, L-value, r-value, type conversions, conditional expressions, precedence and order of evaluation, data type conversion, mixed- mode operation, Managing Input and Output operation (formatted and unformatted) 3 Lectures

Unit - 3. Control Statements: Conditional control statement—if, if-else, nested-if, switch; Go-to-statement; Looping—while, do-while, for, nested for; jumps in loops—break and continue statement 4 Lectures

Unit - 4. Arrays: Definition, one-dimensional arrays—declaration and initialization, two—dimensional arrays, multidimensional arrays, dynamic arrays 3 Lectures

Unit - 5. Strings: Introduction, Declaring and initializing strings, reading and writing strings, String Handling Function, Implementation of string functions, Arithmetic operation on


strings, comparison of Strings. 3 Lectures

Unit - 6. Functions: Function definition, arguments and parameters, categories of function, scope and extent, Storage classes, static and register variables, parameter passing mechanism, Inline function, nesting of function, recursion, passing arrays to function, passing strings to function, variable length argument list. 4 Lectures

Unit - 7. Pointers: Understanding memory address, declaring and initializing pointer variables, void pointer, null pointer, accessing a variable through pointer, array and pointer, pointer and string, pointer as function arguments, Pointer arithmetic, pointers to pointer, function returning pointer , pointers and structure, Dynamic memory allocation (Malloc , Calloc, releasing the used space, Realloc), Memory leak and memory corruption. 9 Lectures

Unit - 8. User defined data: Structure- defining, declaring, initializing; accessing structure members, processing of structure , array of structures, structures within structure, structure and function, type definition; Union—definition, declaration, accessing union members, initializing union Types: 4 Lectures

Unit - 9. Pre-processor: Introduction, macro substitution, File Inclusion, Compiler control Directives 1 Lecture

Unit - 10. Files: Introduction, file declaration, opening and closing a file, working with text and binary files, I/O operations on file, error handling, random access to files 4 Lectures

Unit - 11. Graphics programming: Introduction, Command line argument, function used in graphics, drawing shapes, designing using graphics. 3 Lectures

Suggested Readings:

1. Pradip Dey and Manas Ghosh, Programming in C, Oxford

2. Ashok kamthane, Programming in C, Pearson Education,

1. Brian W. Kernighan and Dennis M. Ritchie, The C Programming Language, Prentice Hall of

India.

2. E. Balaguruswamy, Programming in ANSI C, Tata McGraw-Hill.

3. Byron Gottfried, Schaum's Outline of Programming with C, McGraw-Hill. 4. Practical C Programming (3rd Edition) by Steve Oualline, O’reilly Press 5. C: The Complete Reference by Herbert Schildt, TMH

EC101 Elements of Electronics Engineering

L-T-P-Cr: 3-1-0-4;

Prerequisites: Circuit Analysis

Objective: The comprehensive idea of this course is to make students familiar with the operational principle, analysis, design and application of semiconductor devices like diodes, bipolar junction transistors, and field effect transistors, op-amps, digital logic gates and SCR. After obtaining clear understating wide variety of circuits are analyzed in analog circuits, digital circuits and communication systems.

Course Outcome: Upon successful completion of this course, students should be able to:

1. Understand the principle of electronic devices, and develop skills to use and design diodes as power supply rectifiers


2. Understand the operation of transistors in switching circuits 3. Design logic gates using diodes and transistor 4. Understand the main elements of power electronics devices, and the principles related to its

operation. Topics Covered

Unit - 1. Semiconductor diodes 6 Lectures

Semiconductor materials-Intrinsic and Extrinsic types, Ideal diode, Terminal Characteristics of diodes: p-n junction diode under open circuit, forward bias, and reverse bias conditions, Photodiode, Light Emitting Diode, Diode Applications-Half-wave Rectifiers, Full-wave Rectifiers and Filters, Clipping and Clamping Circuits, Breakdown mechanism in diode, Zener diode and its application as voltage regulator

Bipolar Junction Transistor 8 Lectures

BJT Introduction: Basic theory and operation of PNP and NPN transistor, Basics of C-B, C-E, C-C amplifier configuration, DC analysis of Transistor circuits, Transistor DC Biasing: Load line analysis, operating point, Biasing of BJT: Emitter feedback bias, Voltage Divider bias, Transistor as a switch: cut-off and saturation modes, High frequency model of BJT amplifier (brief description)

Field Effect Transistor 8 Lectures

FET: Introduction, operation, JFET parameters, JFET characteristics, JFET amplifiers, MOSFET: introduction, Depletion type MOSFET and Enhancement type MOSFET, MOSFET parameters, D.C. operation of MOSFET circuits, MOSFET as an amplifier, Brief description of basic MOSFET amplifier configurations: common source, common gate and common drain types, Biasing in MOSFET amplifiers, High frequency model of MOSFET amplifier (brief description)

Operational Amplifier 4 Lectures

Ideal Op-amp, CMRR, and its application as differential amplifier, Practical op amp circuits: inverting and non-inverting amplifier, summer, integrator, differentiator

Logic circuits and Applications 5 Lectures

Logic gates and circuit, logic circuit implementation using diodes and transistors, combinational logic circuit, SOS and POS minimization methods

Principles and application of SCR and UJT 4 Lectures

Silicon Controlled Rectifier, Uni-junction Transistor and its applications

Measuring Instruments (3 Lectures)

Cathode Ray Oscilloscope and Multi-meter

Text Books:

1. Electronic Devices and Circuits, Mottorshed

2. Electronic Devices and Circuit Theory by Boylestad and Nashelsky, Pearson

3. Electronic Principles, Albert Malvino and Davis J.Bates, 7th Ed. TMH

Reference Books:

1. Electronic Circuit and System by R. J. Smith, Wiley

2. Microelectronics, Millman and Gabrial, McGrath Hill

3. Digital Electronics, Morris Manno


EC102 Elements of Electronics Lab

L-T-P-Cr: 0-0-3-1;

Total Lab Sessions-12

Prerequisites: EC-101

Objective: This lab course indented to make students familiar with all varieties of basic electronics devices and their operational principle. The lab course consists of analysis, design and application of semiconductor devices like diodes, bipolar junction transistors, and field effect transistors, op-amps. After obtaining clear understating wide variety of circuits are analyzed in analog circuits.

Course Outcome: Upon successful completion of this course, students should be able to:

Understand the working of semiconductor devices, and attain skills to design diodes in rectifiers, clippers and clampers.

Understand the operation of transistors as common base and common emitter. Understand the operational amplifier circuits. Understand basic digital logic circuits.

List of Experiments of Elements of Electronics Lab

1. Experiment No.01:-Study of Cathode Ray Oscilloscope (C RO) (a) Measurement of amplitude, time period and frequency of unknown continuous tirpe signals.(b) Use of Lissajous pattern for unknown frequency measurement of signal.

2. Experiment No.02: Identification of Active and Passive component. 3. Experiment No. 03: Study of characteristics of P-N junction diode under (a) Forward

bias, and (b) Reverse bias 4. Experiment No. 04: Study of characteristics of zener diode under (a) Forward bias (b)

Reverse bias (as voltage regulator) 5. Experiment No. :- 05: Study of clipping circuits and clamping circuits. 6. Experiment No. :- 06: Study of performance of Full wave Bridge Rectifier with filter

circuits. 7. Experiment No. :- 07: Study of input and output characterization of common base (CB)

BJT (Bipolar junction transistor) 8. Experiment No. :- 08: Study of input and output characterization of CE (common emitter)

transistor. 9. Experiment No. :- 09: Study of frequency response of common Emitter BJT. 10. Experiment No. :- 10: Study of output and transfer characterization of JFET (Junction

field effect transistor) 11. Experiment No. :- 11: Study of Operational Amplifier as (i) Inverting (ii) Non-inverting

using uA741 IC. 12. Experiment No. :- 12: Construction and Verification of all other gate (AND, OR, NOT,

XOR) using only a) NOR gate b) only NAND gate.

EE101 Elements of Electrical Engineering

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Objectives: The course is a foundation courses and first course for B. Tech students, where they are

required to learn basics of DC and AC circuit analysis, different circuit laws and fundamentals of

Electrical machines.

Prerequisites: Mathematics and Physics of 12th level.


Outcome: Ability to analyses DC and Ac Circuit, AC circuit phasor representation, Magnetic circuit

for electrical machines, fundamentals of single phase Transformer and rotating machines

Syllabus: Unit - 1. Introduction: D.C. circuits steady state analysis with independent and dependent

sources using Loop and node voltage method, Series and parallel circuits, star delta conversion, Superposition theorem, Thevenin’s theorem, Norton’s theorem, Maximum Power Transfer Theorem. 10 Lectures

Unit - 2. A.C. circuits: Common signals and there waveform, RMS and Average value, form factor and peak factor of sinusoidal wave, Impedance of series and parallel circuits, Phasor diagram, Power, Power factor, Power Triangle, Resonance and Q-factor, Superposition, Thevenin’s and Norton’s Maximum Power transfer theorem for A.C. circuits. 10 Lectures

Unit - 3. A.C. circuits 3-phase: Star delta, line and phase relation, Power relations, Analysis of balanced and unbalanced 3-phase circuits. 4 Lectures

Unit - 4. Magnetic circuits: Introduction, Series and Parallel magnetic circuits, B-H Curve under A.C. excitation, Eddy current and hysteresis losses. 3 Lectures

Unit - 5. Single Phase Transformer – Types, construction, operating principle, EMF equation, Turn ratio, Equivalent circuit, losses and efficiency. 5 Lectures

Unit - 6. Introduction to DC Machine and three phase Induction Motor and starters for Induction Motor. 10 Lectures

Suggested Readings:

1. Fitzgerald, et.al, Basic Electrical Engineering, Tata McGraw Hill 2. Ashfaq Hussain, Fundamentals of Electrical Engineering, Dhanpat Rai and Co. 3. R. Prasad, Fundamentals of Electrical Engineering, PHI Publication

EE102 Elements of Electrical Engineering Lab

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Objective: To verify characteristics of various electrical parameters, material properties, various theorems, to start and run of various electrical machines taught in Elements of Electrical Engineering course work through experiments.

List of the Experiments

1. of different lamps. Note: Minimum ten experiments are required to be performed.

ME101 Engineering Graphics

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Practice Set 1: Title – Engineering Lettering and Dimensioning Practice:

Practice Set 2: Title – Engineering Curves: Ellipse, Parabola, Hyperbola and Cycloid, Involutes, Archimedean spiral


Practice Set 3: Title – Scales: Diagonal Scale, Vernier Scale, Scale of Chord.

Practice Set 4: Title – Projection of Points and Straight Lines:

Practice Set 5: Title – Projection of Planes and Solids:

Practice Set 6: Title – Section of Solids and Surface Development:

Practice Set 7: Title – Intersection of Surfaces:

Practice Set 8: Title – Orthographic Views

Practice Set 9: Title – Isometric Projections and Views

Practice Set 10: Title – Elementary Engineering Graphics with AutoCAD.

Suggested Readings:

1. Dhananjay A Jolhe, Engineering Drawing with an Introduction to auto CAD-.TMH 2. K. Venugopal and V. Prabhu Raja, Engineering Drawing – New Age International 3. N. D. Bhatt and V. M. Panchal, Engineering Drawing – Charotar Publishing House Pvt Ltd 4. T. Jeyapoovam, Engineering Drawing and Graphics using AutoCAD, Vikash Pub 5. P. S. Gill, Engineering Drawing (Geometrical Drawing) – 6. Agrawal and Agrawal, Engineering Drawing – TMH

Unit - 5.

ME102 Workshop Practice

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1. Study of tools used in Black Smithy Shop and making of (i) Eye nail (ii) Ring

2. Study of tools used in Carpentry Shop and making of (i) Half lap joint (ii) Dovetail joint and

(iii) File handle.

3. Study of tools used in Fitting Shop and making of (i) Matching gauge (ii) Chipping and filing.

4. Study of different parts of Lathe machine and making of Taper Stud.

5. Study of tools used in Foundry Shop and making of (i) Stuffing gland box (ii) Vee block

6. Welding, Soldering and devices of Electric arc welding.

Suggested Readings:

1. Workshop technology -Hazra Chaudhary 2. Workshop technology- Raghubansi 3. Manual on workshop Practice- Kannaiah 4. Workshop manual- Kannaiah 5. Workshop Practice- Swarn Singh 6.


Detailed Syllabus: Five year Integrated M. Sc. in Chemistry

Semester III

CH105 CHEMICAL BIOLOGY

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Unit 1. Introduction – significance of biology in modern technology. (2 Lectures)

Unit 2. Biochemical evolution and cell – Molecular evolution of Life. Biochemical evolution and the first cell. (4 Lectures)

Unit 3. Cell Structure and types. Different organelles and function. Cell division. DNA replication and protein synthesis in cells. Cellular respiration. (8 Lectures)

Unit 4. Biomolecules and their importance – carbohydrates, proteins, lipids, nucleic acids, vitamins and hormones. (14 Lectures)

Unit 5. Applications of Biology in 21st century: Recombinant DNA Technology and cloning. Concepts of Gene, Gene transfer and Gene therapy. Stem cell technology. DNA fingerprinting: application in Forensic Science (crime investigation & parental testing). Energy sources from biological system. Biomanufacturing – biosensors and sophisticated surgical instruments. (14 Lectures)

Books: 1. Singh, B. D. Biotechnology, 1st Edition, 2005. 2. Bernum, S. R. Biotechnology: An Introduction, Wadsworth Pub. Co. 3. Lewin, B. Genes VII, 7th Ed. Oxford University Press.

CH106 PHYSICAL CHEMISTRY - I: PHYSICAL PROPERTIES

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Unit - 7. Liquids: Nature of the liquid state, vapor pressure, surface tension, capillary rise and measurement of surface tension, spreading of liquid, temperature dependence of surface tension. General features of fluid flow (streamline and turbulent), Reynold number, Newton' equation, viscosity coefficient. Poiseuille's equation (with derivation), temperature dependence of viscosity, falling sphere method. Viscosity of gases vs. liquids.

Solids: Elementary idea on solid state structures and crystals. Bragg’s Law. (10 Lectures)

Unit - 8. Interface: interface vs bulk, surface dynamics: Physical and chemical adsorption. Langmuir adsorption isotherms, Gibbs adsorption isotherm and surface excess. multilayer adsorption and BET isotherm (not derivation). Heterogeneous catalysis. (10 Lectures)

Unit - 9. Colloids: lyophobic and lyophilic sols. Origin of charge and stability of lyophobic colloids. Coagulation and Schultz-Hardy rule. Zeta potential and Stern double layer (qualitative idea). Tyndall effect. Electrokinetic phenomenon. (10 Lectures)

Unit - 10. Electrical properties of molecules: Polarizability of atoms and molecules, molar polarization for atoms and molecules, dielectric constant and polarization, dipole moment, Clausius-Mosotti equation and Debye equation. (10 Lectures)

Text: 1. G. W. Castellan, Physical Chemistry, 3rd Ed., Narosa Publishing. 2. P.A. Atkins, Physical Chemistry, 5th Ed., Oxford.


3. P. C. Rakshit, Physical Chemistry, 7th Ed., Sarat Book.

CH107 PHYSICAL CHEMISTRY LAB - I

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1. Determination of viscosity of aqueous solutions and mixtures of liquids by Ostwald Viscometer.

2. Determination of surface tension of liquids using Stalagmometer.

3. Kinetics Experiment – I: Determination of rate constant for hydrolysis of ester.

4. Kinetics Experiment – II: Study of kinetics of reaction between hydrogen peroxide and iodide ion.

5. Potentiometric titration: Precipitation reaction, redox titration.

6. Determination of concentration two acids in in a mixture conductometrically.

7. Determination of solubility product of a sparingly soluble salt and effect of common ion on solubility.

8. Study of heat of neutralization or heat of solution by calorimetric measurements.

CH108 ORGANIC CHEMISTRY - I: REACTION MECHANISMS and NAME REACTIONS

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Unit 1. Structure and classification of organic compounds: functional groups (2 Lectures)

Unit 2. Aromaticity: Huckel’s rules for aromaticity & antiaromaticity; homoaromaticity. (3 Lectures)

Unit 3. Structure & stability of reactive intermediates: carbocations, carbanions, free radicals, carbenes, arynes, nitrenes. (5 Lectures)

Unit 4. Reaction mechanisms: Addition, Substitution and Elimination reactions. (10 Lectures)

Unit 5. Organic Name reaction: Aldol Condensation, Claisen condensation, Curtius, Schmidt, Lossen and Wolff Reaction, Cope Reaction, Knoevenegal, Stobbe, Darzen glycidic ester, Umpolung reagents, Chugaev Reaction, Perkin, Stobb, Hofmann, Schidmt, Curtius, Reformatsky, Friedel-craft reaction, Wittig reaction, Baylis-Hilman reaction, Barton reaction, Bamford-Stevans reaction, Shapiro reaction, Demjanov. (22 Lectures)

Books: 1. Carey, F. A., Sundberg, R. J. Adv. Organic Chemistry, Part A-Structure & Mechanisms. 2. Smith, M. B., Organic Synthesis, 3rd Ed. 2010, TMG Hills 3. Clayden, Greeves, Warren, and Wothers, Organic Chemistry, 1st ed, 2001. 4. Carruthers, W., Coldham, I. Some Modern Methods of Organic Synthesis, 2008. 5. Kürti, L., Czakó, B. Strategic Applications of Named Reactions in Organic Synthesis


CH109 INORGANIC CHEMISTRY - I: BONDING and ACID-BASE

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Unit - 1. Chemical Bonding (26 Lectures)

Ionic bonding: Size effects, radius ratio rules and their limitations. Lattice energy, Born-Lande equation and its applications, Born-Haber cycle and its applications. Solvation energy, polarizing power and polarizability, ionic potential, Fajan’s rules. Covalent bonding: Lewis structures, formal charge. Valence Bond Theory, Bent’s rule, VSEPR theory, Partial ionic Character of covalent bonds, bond moment, dipole moment and electronegativity differences. Molecular orbital concept of bonding: sigma and pi-bonds, multiple bonding, MO diagrams of homonuclear and heteronuclear diatomic molecules.

Unit - 2. Acid-Base concept (14 Lectures)

Arrhenius concept, theory of solvent system (in H2O, NH3, SO2 and HF), Bronsted-Lowry’s concept, relative strength of acids, Pauling rules. Amphoterism. Lux-Flood concept, Lewis concept. Superacids, HSAB principle. Acid-base equilibria in aqueous solution and pH. Acid-base neutralization curves; indicator, choice of indicators.

Books: 1. R. L. Dutta, Elementary Inorganic Chemistry, 5th Ed. The New Book Stall, Calcutta. 2. R. Sarkar, General Chemistry Part-I, New Central Book Agency (P) Ltd. 3. A. K. Das, Fundamental Concepts of Inorganic Chemistry Part-II, CBS 4. Publishers and Distributors, New Delhi. 5. J. H. Huheey, E. A. Keiter, R. L. Keiter, O. K. Medhi, Inorganic Chemistry: Principle of structure

and reactivity, 4th Ed., Pearson, New Delhi. 6. Shriver and Atkins, Inorganic Chemistry, 4th Ed., Oxford University Press, Delhi

Semester IV

CH104A GREEN TECHNOLOGY (Environmental Science)


Unit - 1. Introduction of Green protocol: Need, Goal and Limitation of Green Technology, Principles of Green Technology with their explanations and examples. Sustainable development, atom economy, reduction of toxicity. (5 Lectures)

Unit - 2. Waste: Production, Prevention, Problems and Source of waste, cost of Waste, Waste minimization technique, waste treatment and recycling. (5 Lectures)

Unit - 3. Environmental chemicals: Chemical speciation – speciation of lead, mercury, arsenic and chromium. Structure and property-activity relationship, fate of organics in the environment – transformation reactions (hydrolysis, elimination, oxidation-reduction etc). Risk evaluation of environmental chemicals, Biochemical effects of arsenic, lead, mercury and pesticides. ( Lectures)


Unit - 4. Water and Biodegradation: Analysis of water and water quality parameters – concept of pH, measurement of acidity, alkalinity, hardness, residual chlorine, chlorides, DO, BOD, COD, fluoride and nitrogen.

Biodegradation – biodegradation of carbohydrates, proteins, fats and oils and detergents. (5 Lectures)

Unit - 5. Atmosphere: Structure of atmosphere, chemical and photochemical reactions in the atmosphere. Ozone Chemistry: formation and depletion of ozone layer, oxides of nitrogen and sulphur. Acid rain mechanism of formation and effects. Photochemical smog, and sulfurous smog. Greenhouse effect, global warming, greenhouse gases. (7 Lectures)

Unit - 6. Green Synthesis and Catalysis: Green oxidation and photochemical reactions, Microwave and Ultrasound assisted reactions, Synthesis of Green Reagents, Green solvents. Classification of catalysts, heterogeneous and homogeneous catalysis, bio-catalysis. (7 Lectures)

Unit - 7. Green Industrial Processes: Pollution statistics from various industries, polymer industry, textile industry, greener approach of dyeing, ecofriendly pesticides, pharmaceutical industry, waste water treatment. (7 Lectures)

Text: 1. C.N Sawyer, P.L McCarty and G.F Parkin, Chemistry for Environmental Engineering and

Science, 5th ed. Tata McGraw-Hill, 2003 2. Das, A. K. Environmental Chemistry with Green Chemistry, Books and allied (P) Ltd. 3. Ahluwalia, V.K. Green Chemistry: Environmentally Benign Reactions, Ane Books India, New

Delhi, 2006. 4. Sanghi, R. and Srivastava, M.M. Green chemistry: Environment Friendly Alternatives, Narosa

Publishing House. 5. Paul Anastas, John C. Warner, John Warner Joint; Green Chemistry: Theory and Practice New

Ed Edition; Oxford University press, USA, 2000.

CH110 CHEMICAL THERMODYNAMICS

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Unit - 1. Basic Concepts: Microscopic and macroscopic point of view, thermodynamic system, system and surroundings, thermodynamic variables of a system - intensive and extensive, state function and path function, exact and inexact differential, quasistatic process, reversible and irreversible process; isothermal and adiabatic process. (2 Lectures)

Unit - 2. First law of Thermodynamics: Thermal equilibrium, zeroth law and concept of temperature; thermodynamic equilibrium, internal energy, interaction of heat and work, first law of thermodynamics and its application, specific heat of gas and their ratio, work done in isothermal and adiabatic changes in perfect and real gases. Enthalpy, heat capacities, CP, CV, and their relation for ideal and real gases. Joule’s experiment and explanation of (δU/δV)T.

Thermochemistry: Physicochemical processes at constant pressure. Kirchoff’s relation, Bond dissociation energies and ΔH for physical transformation and chemical changes. (6 Lectures)

Unit - 3. Second law of Thermodynamics and Entropy: Second law, equivalence of statements; heat engine and efficiency, Carnot theorem, indicator diagram, Carnot cycle,


efficiency of Carnot engine and Carnot refrigerator, absolute scale of temperature, relation to perfect gas scale. Entropy, change of entropy in simple reversible and irreversible process, entropy of ideal gas, entropy change in mixing of ideal gases, entropy of V.W gas, Clausius inequality, principle of increase in entropy, entropy and disorder, probabilistic interpretation of entropy, entropy and available energy, principle of degradation of energy. (7 Lectures)

Unit - 4. Thermodynamic Functions: Thermodynamic potentials: internal energy, enthalpy, Helmholtz and Gibb’s free energies, Maxwell’s relations and different types of deductions using these relations, thermodynamic equilibrium and free energies: maximum work, spontaneity and equilibrium.

Thermodynamic equation of state, Gibbs-Helmholtz relation, Joule-Thomson experiment, inversion temperature, J-T coefficient for gases. Molecular interpretation of thermodynamic functions. (7 Lectures)

Unit - 5. Chemical potential: partial molar quantities, chemical potential and other thermodynamic functions. Gibbs-Duhem equation; fugacity, activity, fugacity coefficient. Thermodynamic conditions for equilibrium, degree of advancement. van't Hoff's reaction isotherm. Equilibrium constant and standard Gibbs free energy change. Definitions of KP, KC

and Kx; shifting of equilibrium due to change in temperature and pressure. Le Chatelier's principle and degree of advancement.

Activity and activity coefficients of electrolyte/ion in solution. Debye-Huckel limiting law (statement and applications only). Solubility equilibrium and influence of common ions and indifferent ions thereon. pH, buffer solution, buffer capacity, salt hydrolysis. (10 Lectures)

Unit - 6. Colligative properties: Thermodynamics mixing for binary solution, vapor pressure of solution. Ideal diluted solutions and colligative properties. Raoult's law. Thermodynamic derivation of colligative properties of solution (using chemical potentials) and their inter-relationships. Abnormal colligative properties. (8 Lectures)

Text: 1. Heat and Thermodynamics: K.W. Zeemansky. 2. G. W. Castellan, Physical Chemistry, 3rd Ed., Narosa Publishing. 3. P.A. Atkins, Physical Chemistry, 5th Ed, Oxford. 4. Thermal Physics: B.K. Agarwal.

CH111 ORGANIC CHEMISTRY - II: MODERN REAGENTS and THEIR APPLICATION

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Unit - 1. Organotransition metal reagents (Pd, Ru, Rh, Os), phosphorus containing reagents, silicon containing reagents, sulphur containing reagents, boron containing reagents, aluminium containing reagents, organometallic reagents (Mg, Cu, Li, Cd). (12 Lectures)

Unit - 2. Oxidising agents – PCC, PDC, Swern oxidation, DMP, SeO2, MnO2, oxidation of alkenes.

(6 Lectures)


Unit - 3. Reducing agents – Al and B based reagents, hydrogenation, metal based reagents, reduction of alkenes and alkynes (6 Lectures)

Unit - 4. Rearrangements – Pinacol-Pinacolone rearrangement, Favorski Rearrangement, Fries rearrangement, Wagner-Meerwein Rearrangement, Benzil-Benzilic Acid Rearrangement, Beckmann Rearrangement, Claisen rearrangement, Bamberger rearrangement, Overman rearrangement, Wittig rearrangement. (8 Lectures)

Unit - 5. Disconnection approach for C-C bond formation, retrosynthetic analysis of small molecules. [one group and two group (1,2 to 1,6-dioxygenated], reconnection (1,6-di carbonyl), natural reactivity and umpolung, protection-deprotection strategy [alcohol, amine, carbonyl, acid] (10 Lectures)

Books: 1. Carruthers, W., Coldham, I. Some Modern Methods of Organic Synthesis, 2008. 2. Tsuji, J., Transition metal reagents and catalysts, 2000 3. Carey, F. A., Sundberg, R. J. Adv. Organic Chemistry, Part A-Reactions and Synthesis. 4. Warren, S. Disconnection Approach.


CH112 ORGANIC CHEMISTRY LAB - I

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1. Detection of elements (N, halogen, S, P)

2. Detection of functional groups

3. Identification of unknown sample, separation of binary mixture by physical methods

Book: 1. Sinha, N. K., B.Sc. Practical Chemistry, Bharti Bhawan.

CH113 INORGANIC CHEMISTRY II: REDOX and MAIN GROUP ELEMNETS

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Unit 1. Redox properties (14 Lectures)

Application of solubility product principle and common ion effect to precipitation and separation of common metallic ions. Ion-electron method of balancing equation of redox reaction. Elementary idea on standard redox potentials with sign conventions, Nernst equation (without derivation). Influence of complex formation, precipitation and change of pH on redox potentials; formal potential. Feasibility of a redox titration, redox potential at the equivalence point, redox indicators. Redox potential diagram of common elements, Pourbaix and their applications. Disproportionation and comproportionation reactions (typical examples).

Unit 2. Main Group Chemistry (28 Lectures)

Chemistry of non-transition elements, stereochemistry and bonding in non-transition elements and compounds with emphasis on B, S, Si, P, N compounds. Brief review of inorganic chains, rings and cages, organometallic compounds of non-transition elements, role of non-transition elements in biological processes.

Books: 1. N. N. Greenwood and A. Earnshaw, Chemistry of the Elements, 2nd Ed., Elsevier, India,

2005.

2. R. Sarkar, General Chemistry Part-II, New Central Book Agency (P) Ltd.

3. J. H. Huheey, E. A. Keiter, R. L. Keiter, O. K. Medhi, Inorganic Chemistry: Principle of structure and reactivity, 4th Ed., Pearson, New Delhi.

CH114 INORGANIC CHEMISTRY LAB - I: Inorganic Qualitative Analysis

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Dry tests for acid and basic radicals, Wet tests for acid and basic radicals, Interfering radicals, Qualitative analysis of inorganic salts containing not more than four ions.

Book: 1. Vogel’s Qualitative Inorganic Analysis


HS109 INDUSTRIAL MANAGEMENT and PSYCHOLOGY

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Standard common course from HSS dept.

Semester V

CH115 PHYSICAL CHEMISTRY II: CHEMICAL KINETICS and ELECTROCHEMISTRY

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Unit - 1. Chemical Kinetics

Concept of reaction rate and rate constant, extent of reaction, order and molecularity. Reactions of zero order, first order, second order, fractional order and pseudo first order reactions (with example). Determination of order of a reaction, half-life, Rate-determining and steady-state approximation. Opposing reactions, consecutive reactions and parallel reactions. Temperature dependence of rate constant: Arrhenius equation, acitvation energy. Homogeneous catalysis, Enzyme catalysis: Michaelis-Menten equation, turn-over number. (22 Lectures)

Unit - 2. Electrochemistry

Conductance, cell constant, specific and molar conductance. Effect of dilution for strong and weak electrolytes, Kohlrausch's law, ionic mobility. Equivalent and molar conductance at infinite dilution and their determination for strong and weak electrolytes. Ostwald's dilution law.

Qualitative Debye-Huckel model. Application of conductance measurement, Conductometric titrations. (8 Lectures)

Electrochemical Cell: Types of electrochemical cells with examples, cell reactions, emf and change in free energy, ΔH and ΔS of cell reactions from emf measurements. Thermodynamic derivation of Nernst equation. Standard cells, Half-cells / electrodes, different types of electrodes. Standard electrode potential (IUPAC convention) and principles of its determination. Liquid junction potential and its minimization. Glass electrode and determination of pH of a solution. Potentiometric titrations: acid-base and redox. (10 Lectures)

Text: 1. P.A. Atkins, Physical Chemistry, 5th Ed, Oxford. 2. K. J. Laidler, Chemical Kinetics, 3rd Ed., Pearson. 3. G. W. Castellan, Physical Chemistry, 3rd Ed., Narosa Publishing. 4. John Bockris and A. K. N. Reddy: Modern Electrochemistry, 2nd Ed. 5. P. C. Rakshit, Physical Chemistry, 7th Ed., Sarat Book.

CH116 PHYSICAL CHEMISTRY LAB - II

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1. Study of kinetics of a known reaction by conductometric measurements.

2. Phase diagram of a two-component system (Phenol-water) and determination of UCTS.


3. Verification of Lambert-Beers law by colorimeter.

4. Conductometric study of solubility of a sparingly soluble salt and determination of solubility product.

5. Polarimetric estimation: determination of concentration of unknown sugar solution.

6. Study of temperature dependence of a chemical reaction: determination of activation energy.

7. Determination of indicator constant of a known indicator by colorimetry/UV-vis spectrophotometry.

8. Study of kinetic of inversion of sugar using polarimeter.

CH117 ORGANIC CHEMISTRY III: PERICYCLIC AND PHOTOCHEMICAL REACTIONS

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Unit 1. Pericyclic reactions (24 Lectures)

Molecular orbitals and symmetry operations; Pericyclic reactions, Froniter orbital approach, Aromatic transition state approach (Hückel and Mobiüs systems) Woodward Hofmann rule for pericyclic reactions

Electrocyclic Reactions, correlation diagram

Cycloaddition reaction, [4+2]-cycloaddition reaction (Diels-Alder reaction), regioselectivity of Diels-Alder reaction, retro Diels-Alder reactions, heteroatom Diels-Alder reactions, Intramolecular Diels-Alder reactions [2+2]-cycloaddition reactions, 1,3-dipolar cycloaddition reactions.

Sigmatropic reactions: Orbital description, [1,5], [2,3], [3,3] sigmatropic rearrangement, Claisen rearrangement, Cope rearrangement, Wolve rearrangement.

Group Transfer reaction – chelotropic reaction, ene reaction.

Unit 2. Organic Photochemistry (18 Lectures)

Introduction, Jablonski diagram, photochemical reactions including photochemical elimination reactions, Norrish type I process, Norrish type II process, photochemical reductions, photochemical oxidations, photochemical cyclization and photochemical isomerization and rearrangement, photosubstitution, photoaddition, Barton reaction, Paterno Büchi reaction, Nazarov cyclization.

Books: 1. Clayden, Greeves, Warren, and Wothers, Organic Chemistry, 1st ed, 2001 2. Fleming, I., Frontier Orbitals and Organic Chemical Reactions. 3. Turro, N. J., Modern Molecular Photochemistry. 4. Coxan, J. M., Halton, B., Organic Photochemistry.

CH118 INORGANIC CHEMISTRY III: d- and f-BLOCK ELEMENTS

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Unit 1. d-block chemistry: structure and symmetry, representative ligands and nomenclature, isomerism and chirality, crystal field theory and its application, electronic


absorption spectra of octahedral and tetrahedral complexes, Orgel diagrams, spectra of high spin octahedral and tetrahedral complexes for various dn configurations, Jahn-Tellar distortion, spectrochemical series. Adjusted crystal field theory, Nephelauxetic series, Molecular orbital theory of complexes (qualitative principles involved in complexes with and without π- bonding), High spin and low spin complexes, Magnetic properties. Labile and inert complexes, Laporte selection rule.

(24 Lectures)

Unit 2. Coordination compounds, coordination complexes and complex ions. Coordination number, chelating ligands and chelates. Werner’s coordination theory and isomerism in coordination compounds. (8 Lectures)

Unit 3. Essential features of f-block elements: position, lanthanide contraction, ion exchange separation and applications. (8 Lectures)

Books: 1. R. L. Dutta, Elementary Inorganic Chemistry, 5th Ed. The New Book Stall, Calcutta. 2. R. Sarkar, General Chemistry Part-I, New Central Book Agency (P) Ltd. 3. K. Das, Fundamental Concepts of Inorganic Chemistry Part-II, CBSPublishers and

Distributors, New Delhi. 4. J. H. Huheey, E. A. Keiter, R. L. Keiter, O. K. Medhi, Inorganic Chemistry: 5. Principle of structure and reactivity, 4th Ed., Pearson, New Delhi. 6. Shriver and Atkins, Inorganic Chemistry, 4th Ed., Oxford University Press, Delhi. 7. Douglas, D. McDaniel and J. Alexander, Concepts and Models of Inorganic Chemistry, 3rd

Edn, John Wiley and Sons, Inc., New York, 2001. 8. F. A. Cotton, G. Wilkinson, C. M. Murillo and M. Bochmann, Advanced Inorganic

Chemistry, 6th Ed., John Wiley and Sons, Inc., New York, 1999.

CH119 MOLECULAR SPECTROSCOPY

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Unit - 1. UV-Vis Spectroscopy: Electronic transition (σ-σ*, n-σ*, π-π* and n-π*), relative positions of λmax considering conjugative effect, steric effect, solvent effect, red shift (bathochromic shift), blue shift (hypsochromic shift) with typical examples.

Stark-Einstein law of photochemical equivalence and Lambert-Beer’s law; quantum yield and its measurement for a photophysical process, photostationary state.

Elementary ideas of potential energy curves. Frank-Condon principle and vibrational structure of electronic spectra, bond dissociation energy. Radiative and nonradiative decay, Jablonski diagram, Fluorescence and phosphorescence. (14 Lectures)

Vibrational and Rotational Spectroscopy: Modes of molecular vibrations, application of Hooke’s law, characteristic stretching frequencies of O-H, N-H, C-H, C-D, C=C, C=N, C=O functions; factors effecting stretching frequencies (H-bonding, mass effect, electronic factors, bond multiplicity, ring size). Elementary concepts of rotational spectroscopy. (12 Lectures)

Unit - 2. Raman Spectroscopy: Basic principles, Stokes and anti-Stokes Raman, selection rules, conditions for Raman activity with suitable examples, rotational and vibrational Raman, mutual exclusivity of IR and Raman. Surface enhanced Raman scattering: examples and application. (6 Lectures)

Unit - 3. NMR spectroscopy: Nuclear spin, NMR active nuclei, principle of proton magnetic resonance, chemical shift (δ), shielding/ deshielding of protons, up-field and down-field


shifts. Qualitative discussion of spin-spin coupling and line structure splitting, example, equivalent and non-equivalent protons, and simple consequences. (8 Lectures)

Unit - 4. Application of XPS. (4 Lectures)

Text: 1. Fundamentals of Photochemistry, K. K. Rohatgi-Mukherjee, New Age. 2. Fundamentals of Molecular spectroscopy, C. M. Banwell, E. L. McCash, 4th Ed., Tata

Mcgraw-Hill. 3. Friebolin, H., Basic One- and Two-Dimensional NMR Spectroscopy, VCH, 1991. 4. N. J. Turro, Modern Molecular Photochemistry, University Science, 1992.

Semester VI

CH120 PHYSICAL CHEMISTRY – III: PHASE and QUANTUM CHEMISTRY

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Unit - 1. Phase equilibrium

Definitions of phase, component and degrees of freedom, Phase rule. Definition of phase diagram. Phase equilibria for one component system – water, CO2. Clausius-Clapeyron equation – derivation and use. Phase equilibria for two component systems - Liquid vapor equilibrium, Principle of fractional distillation. Duhem-Margules equation. Henry's law. Konowaloff's rule. Positive and negative deviations from ideal behavior. Azeotropic solution. Liquid-liquid phase diagram using phenol-water system. Nernst distribution law. Solvent extraction. Solid-liquid phase diagram and Eutectic point. (Lectures 16)

Unit - 2. Quantum Mechanics for chemistry

Wave-particle duality, light as particles: black body radiation, photoelectric and Compton effects; electrons as waves and the de Broglie hypothesis.

Elementary concepts of operators, eigen functions and eigen values. Linear Operators, Commutation of operators, fundamental commutator and uncertainty principle. Expectation values, Hermitian operator. Schrodinger time-independent equation, wave functions and probability interpretations of wave function.

Particle in a box: setting up of Schrodinger equation for one-dimensional box and its solution. Comparison with free particle eigen functions and eigen values. Properties of wave functions (normalisation, orthogonality, probability distribution). Expectation values of x, x2, px and px

2 and their significance in relation to the uncertainty principle. Extension of the problem to two and three dimensions. (24 Lectures)

Text: 1. Castellan, G. W. Physical Chemistry, 3rd Ed., Narosa Publishing. 2. Atkins, P.A. Physical Chemistry, Oxford, 5th Ed. 3. McQuerrie, D. A.; Simon, J. D. Physical Chemistry – a molecular approach, Viva Books, 1998. 4. Levine, I. N. Physical Chemistry, 5th Ed., Tata McGraw-Hill. 5. Levine, I. N. Quantum Chemistry, 7th Ed., PHI Learning. 6. Rakshit, P. C. Physical Chemistry, 7th Ed., Sarat Book.


CH121 ORGANIC CHEMISTRY - IV: PHYSICL ORGANIC CHEMISTRY

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Unit - 1. Stereoelectronic Effects in Organic Chemistry - Reactions at sp3, sp2, and sp carbons; Felkin-Ahn model, Houk model, Zimmerman-Traxler, Cieplak model, EFOE model, and Cation-complexation model as applied to Facial selectivity; Anomeric effect in O, S, N containing compounds and its variation due to solvent, functional group and temperature. Introduction to carbohydrate chemistry based on Anomeric effect (12 Lectures)

Unit - 2. Conformational stabilities of substituted cyclohexanes and other cyclic compounds, reactivity and selectivity in substituted cyclohexanes. (8 Lectures)

Baldwin’s rule – application in the synthesis of rings using carbocations, carbanions and radicals. (2 Lectures)

A(1,2) and A(1,3) strain, Captodative effect, Hammond’s postulate, Curtin-Hammett principle, and thermodynamic and kinetic control of reactions. (3 Lectures)

Unit - 3. Chemical Equilibria and Chemical Reactivity - Correlation of reactivity with structure, Hammett equation, substituent constants and reaction constants. (3 Lectures)

Chemical Kinetics and Isotope Effects - Various types of catalysis and isotope effects. Importance in the elucidation of organic reaction mechanisms. (2 Lectures)

Unit - 4. Introduction to heterocyclic compounds – Nomenclature of ring systems, structure and reactivity of three, four, five and six membered aromatic and aliphatic oxygen, nitrogen and sulphur heterocyclics; polyhetero ring systems- indole, azoles and diazines. (12 Lectures)

Books: 1. Isaacs, N. S., Physical Organic Chemistry. 2. Lowry and Richardson, Mechanism and Theory in Organic Chemistry. 3. Deslongchamps, P., Stereolectronic Effects in Organic Chemistry. 4. Bansal, R. K. Heterocyclic Chemistry, Wiley Eastern Ltd., 1990. 5. Joule, J. A.J. and smith, G. F. Heterocyclic Chemistry, ELBS, 2nd edition, 1978.

CH122 ORGANIC CHEMISTRY LAB - II

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Organic Preparations Lab – Preparation of organic compounds, purification by recrystallization or distillation and characterization of products. (acetylation, nitration, halogenation, diazotisation, hydrolysis, sulfonation, epoxidation)

Books: 1. Roberts, R. M., Gilbert, J. C., Rodeward, L. B., A. S. Wingrove, Modern Experimental Organic

Chemistry. 2. Sinha, N. K., BSc Practical Chemistry, Bharti Bhawan.

CH123 INORGANIC CHEMISTRY - IV: ORGANOMETALLIC CHEMISTRY

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Unit - 1. Organometallic chemistry: Structure and Bonding models in metal carbonyl, metal-olefin complexes and their characterization by IR spectroscopy. 18-electron and 16-electron formalism and isolobal principle. (14 Lectures)

Unit - 2. Basic concepts guiding the synthesis and stability of transition metal alkyls, carbonyls, alkenes, alkynes, arenes, carbenes, and metallocenes. Synthesis of simple metal complexes – Ni(CO)4, Fe(CO)5, ferrocene. Basic organometallic reactions: oxidative-addition, reductive elimination, transmetallation, insertion, nucleophilic attach on coordinated ligand. (26 Lectures)

Books: 1. J. H. Huheey, E. A. Keiter, R. L. Keiter, O. K. Medhi, Inorganic Chemistry: Principle of structure

and reactivity, 4th Ed., Pearson, New Delhi. 2. The Organometallic Chemistry of the Transition Metals, by R. H. Crabtree. 3. Organometallics by Christoph Elschenbroich.

CH124 INORGANIC CHEMISTRY LAB - II: Inorganic Quantitative Analysis

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1. To find the amount of chloride in water using AgNO3 (Mohr’s method).

2. To determine dissolved CO2 in a given water sample.

3. To determine dissolved oxygen in a given water sample

4. Complexometry

a. Complexometric estimation of Fe(III) using edta solution

b. Complexometric estimation of Al(III) using edta solution

c. Complexometric estimation of Fe(III)+Al(III) in a mixture

5. Estimation of total iron (Fe(II)+Fe(III)) in a mixture using standard potassium dichromate solution.

6. Estimation of Mn in pyrolusite using potassium permanganate solution.

7. Gravimetric estimation of Ni(II) as Ni-DMG complex.

Books: 1. Sinha, N K BSc Practical Chemistry 2. Chawla, S. Essentials of Experimental Engineering Chemistry 3. Vogel’s Quantitative Chemical Analysis

CH125 ANALYTICAL and BIOINORGANIC CHEMISTRY

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Unit - 1. Analytical Chemistry

Principle and simple applications of ion exchange separation. Chromatographic separations. Principle and application of titrimetry, complexometry, redox titrations, gravimetry,


thermogravimetry and differential thermal analysis. Gas chromatography, HPLC, AAS, AES. (20 Lectures)

Unit - 2. Bioinorganic Chemistry

Essential and trace elements in biology, biochemistry of sodium and potassium. The biochemistry of iron and copper: Dioxygen binding, transport and utilization in hemoglobin, hemocyanin and hemerythrin. Fe-S cluster proteins, blue copper proteins, photosynthesis, respiration, nitrogenases. Metalloenzymes: Carbonic anhydrase, carboxypeptidase and vitamin B12. (20 Lectures)

Books: 1. G. D. Christian, Analytical Chemistry, 5th Edn. John Wiley, New York, 1994. 2. G. N. Mukherjee and A. Das, Elements of Bioinorganic Chemistry, U. N. Dhar and Sons Pvt.

Ltd.,1993 3. S. J. Lippard and J. M. Berg, Principles of Bioinorganic Chemistry, 1st Edn, Panima Publishing,

1995. 4. J. H. Huheey, E. A. Keiter, R. L. Keiter, O. K. Medhi, Inorganic Chemistry: Principle of structure

and reactivity, 4th Ed., Pearson, New Delhi. 5. Shriver and Atkins, Inorganic Chemistry, 4th Ed., Oxford University Press, Delhi.

CH126 BIOCHEMISTRY

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Unit - 1. Enzyme catalysis, examples of some typical enzyme mechanisms for chymotrypsin, ribonuclease, lysozyme, and carboxy peptidase-A. Different types of enzyme catalyzed reactions, co-enzyme chemistry. Enzyme models and mimics for enzymes, recpetors like peptides, carbohydrate and bioactive molecules. (16 Lectures)

Unit - 2. Biochemistry of glucose, energy production; citric acid cycle; metabolism of amino acids and nucleotides; catabolism of nucleotides. (10 Lectures)

Expression and transmission of genetic information, replication, transcription, translation.

(12 Lectures)

Books: 1. Biochemistry, Voet and Voet, 4th Ed. 2. Foundations of Chemical Biology, Dobson, Gerrard, Pratt. 3. Bioorganic Chemistry: A chemical approach to enzyme action, H. Dugas, Springer, 3rd Ed.

Semester VII

CH131 PHYSICAL CHEMISTRY - IV: QUANTUM, SPECTROSCOPY and STATISTICAL THERMODYNAMICS

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Unit - 1. Quantum menchanics and Spectroscopy: The Hydrogen atom. Solution of φ-part and emergence of magnetic quantum number; degeneracy. Hydrogenic wave functions up to n = 2 (expression only); Concept of orbitals and shapes of s and p orbitals. The Helium atom and introductory concept of variational and perturbation method. (10 Lectures)


Unit - 2. Rotational spectroscopy of diatomic molecules: rigid rotor model, selection rules, characteristic features of spectral lines (spacing and intensity). Determination of bond length, effect of isotopic substitution. (8 Lectures)

Unit - 3. Vibrational spectroscopy of diatomic molecules: simple harmonic model, selection rules, anharmonicity and its consequences on energy levels, overtones, hot bands. (8 Lectures)

Unit - 4. Statistical Thermodynmics: Microstates and macrostates, thermodynamic probability, entropy and probability. Ensemble concept and canonical ensembles, Bolzmannn, Bose-Einstein, Fermi-Dirac statistics. Black-body radiation, Bose Einstein condensation, Bosons and Fermion and their properties. Partition functions and their relationship with thermodynamic functions and equilibrium constants. (16 Lectures)

Text: 1. D. A. McQuarrie, J. D. Simon, Physical Chemistry – a molecular approach, Viva Books, 1998. 2. C. M. Banwell, E. L. McCash, Fundamentals of Molecular spectroscopy, 4th Ed., Tata Mcgraw-

Hill. 3. I. N. Levine, Quantum Chemistry, 7th Ed., PHI Learning. 4. F. Reif, Fundamentals of Statistical and Thermal Physics, Waveland Press, 2009. 5. I. N. Levine, Physical Chemistry, 5th Ed., Tata-McGraw-Hill.

CH132 BIOMOLECULES: STRUCTURE AND REACTIVITY

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Unit - 1. Carbohydrates: Importance of carbohydrates in biosystems – introduction to glycobiology, chemisty of monosaccharides and disaccharides (including structure and configuration): D-glucose, fructose, galactose, xylose, arabinose and sucrose. Mutarotation, epimerization, anomeric effect, elementary idea about starch and cellulose. Elementary reactions of sugar – reaction of reducing sugars, interconversion of sugars, Amadori rearrangement, osazone formation, oxidation and reduction of aldoses. Reactivity of different hydroxyl groups, selective protection-deprotection. Sugar processing enzymes (glycosidases and glycosyl transferases) and their inhibitors. Oligosaccharides – importance, synthesis and application in drug discovery. (16 Lectures)

Unit - 2. Amino acids: essential and nonessential amino acids, isoelectric point, ninhydrin reaction, synthesis of glycine, alanine and tryptophan. (8 Lectures)

Unit - 3. Peptide and Proteins: peptide linkage, synthesis of peptides using N-protection and C-protection. Classification of proteins, geometry of peptide linkage, elementary idea about primary and secondary structures, C-terminal, N-terminal and their determination. Peptide synthesis: Merrifield synthesis (10 Lectures)

Unit - 4. Nucleic acids: Pyrimidine and purine bases (only structure and nomenclature), nucleosides and nucleotides. Complimentary base pairing, RNA, DNA, Watson-Crick model of DNA. (8 Lectures)

Books: 1. Lindhorst, T. K., Essentiall of carbohydrate chemistry and biochemistry, Wiley-VCH, 2006 2. Varki, A., Cummings, R. D., Esko, J. D., Bertozzi, C. R., Essentials of Glycobiology, Vold, Spring,

Harbor, NY. 3. L. Stryer, Biochemistry 4. Creighton, T.E. Proteins 5. Branden, C. I. and Tooze, J., Introduction to protein structure. 6. Voet, D., Voet, J. G., Pratt, C. W. Fundamentals of Biochemistry.


CH133 NANOMATERIALS

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Unit 1. Introduction of different types of materials and nanomaterials: Thin film, metal nanoparticles, carbon nanotubes and graphene. Synthesis/Preparation of materials – various techniques. (24 Lectures)

Unit 2. Physical and optical properties of the nanomaterials and their application in multiple dimensions. (12 Lectures)

Text/References: 1. C. P. Poole, Jr., F. J. Owens, Introduction to Nanotechnology, Wiley India, 2007. 2. G. Cao, Y. Wang, Nanostructures and Nanomaterials: Synthesis, properties, and application,

2nd Ed., World Scientific Series, vol. 2, Singapore, 2011. 3. Relevant journal articles and reviews will be given in the corresponding classes.

CH134 POLYMER CHEMISTRY

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Unit - 1. Introductory concepts, definition and classification of polymer, synthetic and natural polymers, types of polymerization, addition, condensation, co-ordination and ring opening polymerization. Preparation, properties and uses of some important thermoplastic (i.e.PE,PVC,Teflon,PS, PMMA), thermosetting resins (i.e. Phenolic resin, Amino resin and Epoxy resin) and Fibers (i.e. Nylons, PAN, Polyyurethanes). Natural rubbers, vulcanization, synthetic rubber (Buna-S, Buna-N, GR-I etc). Stereochemistry and Mechanism of Polymerization: free radical, cationic, anionic and Zeiler Natta Polymerization. Polymerization conditions and polymer reactors. Crystal structure of polymers: crystalline melting point Tm, glass transition temperature (Tg). Effect of different parameters on Tm and Tg. (20 Lectures)

Unit - 2. Physical properties of polymers, Molecular weight distributions, various experimental methods (GPC/SEC, solution viscosity, VPO, light scattering) to determine relative and absolute molecular weight distributions, Concept of segment and segment length. Effect of solvents. Chain growth and step growth mechanisms and kinetics, ionic polymerization. Thermodynamics of dilute polymer solution. Light scattering method to determine molecular weight and structure of polymers in solution. Kinetics and mechanisms of polymerization, polymer degradation and stabilization, biological degradation of polymers. Polymers and environment, environmental pollution by polymers. (22 Lectures)

Text: 1. Odian, G. Principle of polymerization, 3rd edition, John Wiley, 1991. 2. Billmeyer, F.W. Textbook of polymer science, 3rd edition, John Wiley, 1991. 3. Flory, P.J. Principles of polymer chemistry, Cornell University Press, 1953.

CH135 INDUSTRIAL CHEMISTRY

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Unit 1. Water treatment: Hardness of water, disadvantage of hard water, scale and sludge formation in boilers, boiler corrosion. softening methods. (4 Lecture)

Unit 2. Fuels: Classification of fuels, calorific value, classification of coal, Proximate and ultimate analysis of coal and their significance. Petroleum cracking, reforming, knocking in petrol and diesel engines. Natural gas, water gas, producer gas. Combustion calculations, Non-conventional sources of energy, Fuel cells, solar energy, wind energy and bio-diesels. (6 Lecture)

Unit 3. Ceramics and refractory: Materials used as ceramics, Requirement of good refractories, manufacture of refractories. Classification properties of refractories and selection of refractories. Composition of glass and cement, setting of cement. (4 Lecture)

Unit 4. Explosive and propellants: Explosive, classification of explosives, oxygen balance, preparation and application explosive, precautions using storage of explosives. Blasting fuses, Rocket propellants, properties and classification of propellants. (6 Lecture)

Unit 5. Dye & Pigments: Colour and constitution, Classification of Dyes, Nitro Dyes, Nitroso Dyes, Azo Dyes, Acridine dyes, Quinoline Dyes, Vat dyes, Fluorescent brightening agent. (6 Lecture)

Books: 1. Sharma, B.K. Industrial Chemistry (Including Chemical Enggnering), Goel Publishing House,

Merrut, 2. Arora, A. Industrial Chemistry, Sonali Publication, 2009 3. Vaid, H. K. Industrial Chemistry, 01 Edition, Anmol Publication Pvt Ltd 2007

References:

1. Davis, K.H.; Berner, F.S. Hand Book of Industrial Chemistry Vol-1, CBS Publisher, 2005 2. Ranken, C. Industrial Chemistry, General Book, 2010

CH191 PHYSICAL AND BIOCHEMISTRY LAB

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1. Protein characterization and quantification by UV-vis spectroscopy

2. SDS-polyacrylamide gel electrophoresis

3. Folding and Unfolding of Protein in presence of osmolyte and denaturant

4. Enzyme Kinetics of wheat germ acid phosphatase

5. Bradford assay for protein estimation

6. Study of complex formation or chemical reaction using Uv-Vis spectrophotometer.

7. Fluorescence quenching experiment using spectrofluorimeter: Stern-Volmer plot.

8. Study of optical properties of metal nanoparticles using UV-Vis spectrophotometer.

CH192 SCIENTIFIC COMPUTING

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This course will introduce basics of computational techniques used in Chemistry.


CH190 INDUSTRIAL TRAINING

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This course evaluates the two-month Summer internship which is compulsory and to be done during Summer Vacation after the end of the Semester VI.

Semester VIII

CH141 SPECTROSCOPIC METHODS FOR STRUCTURE DETERMINATION

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Unit 1. Infrared Spectroscopy: Introduction. Identification of functional groups, hydrogen bonding etc., metal ligand vibrations. (4 Lectures)

Unit 2. Nuclear Magnetic Resonance Spectroscopy: Introduction – magnetic field and chemical shifts, coupling constants in 1H and 13C NMR spectroscopy. 2D NMR spectroscopy techniques - COSY, NOESY, NOE, HMBC, HSQC and application in the structural determination of complex organic systems including conformational analysis. (14 Lectures)

Unit 3. Ultraviolet Spectroscopy: Introduction. Studies of conjugated and extended conjugated systems etc. Woodward rules. Electronic spectra of transition metal complexes. (3 Lectures)

Unit 4. Mass Spectrometry: Basic concepts. Fragmentation and rearrangements (including McLafferty rearrangement) of different classes of organic molecules. Isotope effects etc. (6 Lectures)

Unit 5. Structural elucidation by joint application of UV, IR, NMR and mass spectrometry. (5 Lectures)

Unit 6. Electron Spin Resonance Spectroscopy: A brief review of theory. Analysis of ESR spectra of systems in liquid phase, radicals containing single set, multiple sets of protons, triplet ground states. Transition metal ions, rare earth ions, ion in solid state. Double resonance techniques: ENDOR in liquid solution, ENDOR in powers and non-oriented solids. (5 Lectures)

Unit 7. Mossbauer Spectroscopy: Basic physical concepts, spectral line shape, isomer shift, quadrupole splitting, magnetic hyperfine interaction. Interpretation of Mossbauer parameters of 57Fe, 110Sn. (5 Lectures)

Books: 1. Friebolin, H., Basic One- and Two-Dimensional NMR Spectroscopy, VCH, 1991. 2. Williams, D. H., Fleming, I., Spectroscopic Methods in Organic Chemistry, 4th ed., 1988. 3. Silverstein, R.M., Bassler, G.C., Morrill, T.C. Spectrometric Identification of Organic

Compounds, John Wiley and Sons, New York, 5th Ed. 1991. 4. Pavia, D. L., Lampman, G. M., Kriz, G. S., Introduction to Spectroscopy, 3rd Ed. 5. McLafferty, F. W., Interpretation of Mass Spectra, 1980. 6. John A., Bolton, J. R., Wertz, J. E, Electron Paramagnetic Resonance, Elementary Theory

and Practical Applications, Wiley-Interscience, New York, (1994).


CH142 GROUP THEORY and ITS CHEMICAL APPLICATION

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Unit 1. Symmetry elements and symmetry operations, symmetry of atomic orbitals. Elements of group theory: groups, subgroups, classes and characters, symmetry point groups. Symmetry operators, matrix representation, basis vector, symmetry transformation of operators. (15 Lectures)

Unit 2. The Great Orthogonality Theorem (without proof) and its consequences; irreducible representations, construction and applications of character tables, cyclic groups. Direct product and projection operator and their applications; symmetry adapted linear combination (SALC). (12 Lectures)

Unit 3. Application of group theory: LCAO-MO approach, Huckel’s orbitals, selection rule for electronic spectra, orbital and spin selection rule, symmetry of normal modes of vibration and selection rule for vibration spectra and Raman spectra. (10 Lectures)

Text: 1. Chemical application of Group Theory, F. A. Cotton, 3rd Ed., Wiley. 2. J. H. Huheey, E. A. Keiter, R. L. Keiter, O. K. Medhi, Inorganic Chemistry: Principle of structure

and reactivity, 4th Ed.

CH193 ORGANIC CHEMISTRY LAB - III

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1. Purification of binary mixture by TLC, column chromatography, distillation

2. Analysis by spectroscopic methods

3. Isolation of natural product

Books: 1. Roberts, R. M., Gilbert, J. C., Rodeward, L. B., A. S. Wingrove, Modern Experimental Organic

Chemistry. 2. Karger, B. L., Snyder, L. R., Horvath, C., An Introduction to Separation Science, John Wiley and

sons, Inc. 1973. 3. Pasto, D. J., Johnson, C. R., Organic Structure Determination, Prentice Hall, 1969.

CH194 INORGANIC CHEMISTRY LAB - III

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Preparation and Characterization of Inorganic Compounds:

1. Preparation of [Co(NH3)5Cl]Cl2 – Find the number of ions by sephadex column

2. Preparation of [Ni(NH3)6]Cl2 – Find the number of ions by sephadex column

3. Preparation of potassium tris(oxalate) ferrate(III)

4. Preparation of o-,p-(hydroxyphenyl)mercuric chloride

5. Optical isomers of tris(ethylenediamine)cobalt(III) chloride

6. Acetylation of ferrocene and its purification by column chromatography

Books: 1. B.Sc. Practical Chemistry by N K Sinha. 2. Essentials of Experimental Engineering Chemistry by Shashi Chawla.


ELECTIVE COURSES (4TH and 5TH YEAR)

GROUP A. PHYSICAL CHMISTRY COURSES

CH621 Advanced Quantum Mechanics

Unit - 1. Vector-space formalism of quantum mechanics, Heisenberg’s uncertainty principle, Eigen value and diagonalization problem. Coordinate representation, constants of motion, parity and angular momentum.

Unit - 2. Perturbation Theory: Rayleigh Schrödinger theory for nondegenerate systems; degenerate perturbation theory, Stark and Zeeman effects.

Unit - 3. Time-dependent formalism: Transition probability; Fermi Golden Rule; Einstein transition probabilities; spontaneous and induced emission. Derivation of spectroscopic selection rules. Characteristics of many body wave functions. Variation principle and its application to ground states of different systems. Self-consistent field method, Slater Type Orbitals, Slater exponents and the periodic properties of elements.

Text: 1. I. N. Levine, Quantum Chemistry, 7th Ed., PHI Lerning. 2. D. A. McQuarrie, J. D. Simon, Physical Chemistry – a molecular approach, Viva Books, 1998.

CH622 Biophysical Chemistry

Structure of water. Biological relevance of chemical potential. Hydrophobic and hydrophilic interactions in biological systems. Protein-Solvent Interactions - preferential binding, hydration and exclusion. Protein structure, stability, folding, unfolding and their studies with spectroscopic and calorimetric methods. Protein-Ligand Binding. Structure-Function relationships. Equilibria across membranes. Thermodynamics and kinetics of ligand interactions.

Text: 1. R. B. Gregory, ed., Protein-Solvent Interactions, Marcel Dekker, Inc., 1995. 2. B. T. Nall and K. A. Dill, ed., Conformations and Forces in Protein Folding, American

Association for the Advancement of Science, 1991. 3. C. Branden and J. Tooze, Introduction to Protein Structure, Garland Publishing, Inc., 1991. 4. J. Wyman and S. J. Gill, Binding and Linkage: Functional Chemistry of Biological

Macromolecules, University Sciences Books, 1990. 5. C. R. Cantor and P. R. Schimmel, Biophysical Chemistry, Part III, W.H.Freeman and Co., 1980.

CH623 Photophysics

Unit 1. Understanding electronic transitions: Fluorescence and phosphorescence, Delayed fluorescence, quantum yield, Mechanism and decay kinetics of photophysical processes. Fluorescence quenching (dynamic and static), Stern-Volmer equation.

Unit 2. Photoexcited processes: Excited state energy transfer, Forster’s dipole coupling, Photoinduced electron transfer phenomenon, Marcus theory, Rehm-Weller model, solvent effect, complex formation phenomenon (excimer and exciplex), Excited state proton transfer.

Unit 3. Interaction of electromagnetic radiation with matter, Transition probabilities, Transition moment integral and its applications. Electric and megnetic dipole moments. Selection rules. Violation of Franck Condon principle, oscillator strength. Nature of transitions (e.g.,


n–π*, π–π*, d–d, charge transfer) solvent effect on absorption and emission spectra, Stoke’s shift, solvation dynamics.

Unit 4. Properties of electronically excited molecules: Life time, redox potential, dipole moment, pK values. Potential energy diagram for donor acceptor system, Polarized luminescence. Nonradiative and radiative decay kinetics. Nonradiative pathways: intramolecular electronic transition; internal conversion, inter-system crossing. Crossing of potential energy surface (Franck-Condon factor). Kasha’s rule.

Unit 5. Elementary idea of lasing, population inversion, three and four state lasing mechanism, mode-locking, continuous wave and pulsed laser, suitable examples. He-Ne and Nd-YAG lasers, diode lasers.

Text: 1. Fundamentals of Photochemistry, K. K. Rohatgi-Mukherjee, New Age. 2. Fundamentals of Molecular spectroscopy, C. M. Banwell, E. L. McCash, 4th Ed., Tata Mcgraw-

Hill. 3. N. J. Turro, Modern Molecular Photochemistry, University Science, 1992. 4. J. R. Lakowicz, Principles of Fluorescence Spectroscopy, 3rd Ed., Springer.

CH624 Plasmonic Nanomaterials: Properties and Application

Unit 1. Metal nanostructures and their optical properties – Elementary idea on Mie scattering for spherical nanoparticles, size and shape dependent optical properties. Surface plasmon resonance, localized surface plasmon resonance and its manifestation in various nanostructures. Light confinement and optical nanoantenna. Surface plasmon polaritons (SPPs) and 1D optical signal propagation in various nanostuctures and thin films. SPP losses, loss compensation and gain.

Unit 2. Single particle microscopy and spectroscopy – study of optical properties of metal nanostructures as well as demonstrative application.

Unit 3. Application of Plasmonics of metal nanoparticles – optical application, possible optoelectronic implementation, study of nanoscale lasing, optical trapping, biophysical and biomedical application of nanoparticles. Sensing application – chemical and bio sensing. Surface enhanced Raman scattering, and its multidimensional application in chemical, biochemical, medical fields.

Text/References: 1. S. A. Maier, Plasmonics: Fundamentals and Application, Springer, 2007. 2. UV-VIS and Photoluminescence Spectroscopy for Nanomaterials Characterization, Ed. Challa

S.S.R. Kumar, Springer, 2013. 3. Surface-Enhanced Raman Scattering: Physics and Applications, K. Kneipp, M. Moskovits, H.

Kneipp, Springer, 2006. 4. Optical Properties of Nanostructures, Ying Fu, Min Qiu, Pan Stanford Publishing, 2011. 5. Selected recent journals and reviews will be recommended in corresponding classes.

GROUP B. ORGANIC CHEMISTRY COURSES

CH631 Chemistry of Natural Products

Unit 1. Alkaloids: Introduction, Occurrence and isolation, function of alkaloids in plant, general properties, nomenclature, and classification of alkaloids. Isolation, properties and structural elucidation of Quinine, Morphine: (structure, synthesis, molecular re-arrangement, stereo chemistry and bio-genesis).


Unit 2. Steroids: Introduction, nomenclature of steroids, absolute configuration of steroid. Occurrence, isolation, Structure elucidation, and chemical properties of Cholesterol. Terpenoids: Introduction, isolation, and classification of terpenoids. General properties, structure determination of Citral and Camphor.

Unit 3. Vitamins: Introduction, chemical properties and structure elucidation of vitamin A, Vitamin B,

Unit 4. Ascorbic Acid and Vitamin D.

Unit 5. Selected examples of pheromones, prostaglandins, fatty acids. Complex natural products like taxol, rapamycin, lejimalide B, brevetoxin, etc.

Books: 1. Mann, J., Devidson, R. S., Hobbs, J. B., Banthrope, D. V., Harborne, J. B., Natural Products –

their chemistry and biological significance, Longman, Essex, 1994. 2. Rahman, Ata –ur, Choudhary, M. L., New Trends in Natural Product Chemistry, Harwood

Academic Publications. 3. Pelletier, S. W., Chemistry of the Alkaloids, Van Nostrand reinhold Company, N. Y. 4. Nicolaou, K. C. “Classics in Total Synthesis” Vols I-III, Wiley-VCH, 1996; 2003; 2011. 5. Barton, D. H. R., Nakanishi, K., Meth-Cohn, O., Comprehensive natural products chemistry,

Vols 1-9, Elsevier, 1999.

CH632 Medicinal Chemistry

Unit 1. Introduction - drugs, receptors, signal transduction, choosing a disease and drug target. Finding a lead compound, structure determination, structure-activity relationships.

Unit 2. Drug design and drug-target interactions - variation of substituents, chain extension/contraction, ring extension/contraction, simplification/rigidification of structure.

Unit 3. Combinatorial Libraries; Enantiopure Drugs and Regulatory Implications.

Unit 4. Theoretical Approaches - QSAR, Topliss Tree, MSA, CoMFA

Unit 5. Types of drugs - Neuroactive Drugs: Neurons and Neurotransmitters; Brain-related Disorders and Chemotherapy; Drugs Interacting with Cholinergic, Adrenergic, Dopaminergic and Histaminic Receptors and Receptor-subtypes. Anticancer, Antimalarial, antibacterial antiviral, and Cardiovascular Drugs, Gene-Based Medicines, Biopharmaceuticals: Recombinant Proteins as Medicines and Vaccines.

Unit 6. Drug Delivery - Passive, Assisted and Vector-Based Delivery of Conventional and Genetic Drugs; Tissue - Specific Delivery of Antitumor Agents

Unit 7. Drug Administration, Distribution, Metabolism and Elimination (ADME); Pathways of Drug Metabolism: Enzymology and Molecular Mechanisms; Detoxification of Diverse Drug Classes; Dose Formulation.

Unit 8. Drug Pharmacokinetics - chemical and metabolic stability, solubility and membrane permeability, drug alliances. Clinical trials.

Books: 1. Block, J. H., Beale, J. M. Jr., Wilson and Griswold, Text Book of Organic Medicinal and

Pharmaceutical Chemistry, 11th Ed., Lippincott Williams and Wilkins, Philadelphia, 2004. 2. Patrick, G. L., Introduction to Medicinal Chemistry, Oxford University Press, 2001. 3. Gringauz, A., Introduction to Medicinal Chemistry: How Drug Act and Why? John Wileyand

Sons, 1997. 4. Goodman and Gilman, The Pharmacological Basis of Therapeutics, TMG Hills.


CH633 Art in Organic Synthesis

Unit 1. Principles of retrosynthetic analysis: Linear and convergent synthesis, Definitions of synthons, retron and target. Synthesis under steric control, Regio- and stereoselective synthesis.

Unit 2. Structure-based and topological strategy, stereochemical strategy and functional group strategy.

Unit 3. Methodologies for the construction of 3-7 membered rings and large rings. Application in natural product synthesis.

Unit 4. Methodologies for the construction of 3-7 membered heterocyclic rings (O, N, S). Application In organic synthesis.

Unit 5. Asymmetric Synthesis – Including organo and metal based catalysts.

Books: 1. Corey and Cheng, The Logic of Chemical Synthesis, Wiley, 1989. 2. Nicolaou and Sorensen, Classics in Total Synthesis, 1996. 3. Nicolaou and Snyder, Classics in Total Synthesis II, 2003. 4. Carey and Sundberg, Advanced Organic Chemistry, Part I and II, 4th ed., 2000. 5. Schmalz, H-J., Wirth, T., Organic Synthesis Highlights, 2003 6. Smith, M. B., Organic Synthesis, 3rd Ed. 2010, TMG Hills

CH634 Chemistry of Heterocyclic Compounds

Introduction to Heterocyclic: Nomenclature, spectral characteristics and aromaticity. Synthesis and reactions of three and four membered heterocycles: aziridine, azirine, azetidine, oxiranes, oxetanes, thiarines and thietanes. Synthesis and reaction of five membered hetrocycles with one heteroatom: Pyrrazoles, furans, thiophenes, indoles, benzofurans, benzopyrroles, benzothiophenes. Synthesis and reaction of five membered hetrocycles with two heteroatom: Pyrazoles, imidazoles, oxazoles, thiazoles, isothiazoles. Synthesis and reaction of six membered hetrocycles with one heteroatom: Pyridines, quinolines, isoquinolines, acridines. Synthesis and reaction of six membered hetrocycles with two or more heteroatom: Pyrimidines, purines, diazines, triazines, tehazines, pteridines. Synthesis and reaction of seven and large membered hetrocycles: Azepines, oxepines, thiepines. Chemishy of porphyrines and spiro heterocycles.

Books: 1. Gilchrist, T.L., Heterocyclic Chemistry, Longman, scientific. 2. Joule J.A, Mills k., smith G.F, Heterocyclic chemishy, 3rd Ede. Chapman and Hall N.Y 3. Gupta R.R, Kumar M, Gupta V, Heterocyclic Chemishy Vols 1-3, springer-verlag 4. Eicher T, Hanptmann S, The chemistry of Heterocycles, Thieme.

GROUP C. INORGANIC CHEMISTRY COURSES

CH641 Supramolecular Chemistry

From molecular to supramolecular chemistry: factors leading to strong binding, hydrogen bonding and stacking interactions. Metal guided self assembly reactions. Synthesis and binding studies of natural and synthetic receptors. Supramolecular devices based on mechanically interlocked molecules. Fluorescent supramolecular materials for analyte sensing. Stimuli-responsive supramolecular materials.

Books: 1. J. W. Steed and J.L.Atwood , Supramolecular Chemistry , CRC Press, 2004.


CH642 Chemistry of Materials

Materials and their applications. Basic deposition processes (with regard to precursor chemistry): principle, instrumentation and applications. Introduction to metal carbides, metal nitrides, metal borides, metal oxides, metal chalcogenides, semi-conductors, metal films. Itinerary form molecules to materials.

References: 1. Latest and relevant research papers will be recommended in corresponding classes.

CH643 Coordination Chemistry

Unit 1. Molecular orbital theory (MOT) approach to explain magnetic and spectral properties of coordination complexes. Electronic spectra of transition metal complexes. Determination of magnetic susceptibilities. L-S coupling, J-J coupling, Term symbol, energy state, ground state and microstate. Orgel energy level diagram for d1 to d9 system. The Russell-Saunders coupling scheme. Tanabe-Sugano diagrams. Organometallic compounds of transition metals. Ferrocene and metallocenes. Structure and bonding in ferrocene. Reaction of ferrocene and aromatic character of ferrocene.

Unit 2. Metal carbonyl and Metal nitrosyl complexes: Π-acceptor ligands. Characteristics of Π-bonding ligands. Condition pertaining to formation of complexes with π-bonding ligands (CO, NO, CN, CS and PF3). Mono-, bi- and trinuclear carbonyls of Fe, Co, Ru, Os and Mn. Mixed nitrosyl carbonyls. 18- Electron rule (inert gas rule) in carbonyl and nitrosyl compounds. Structure, bonding and magnetic properties of metal carbonyls and metal nitrosyls. Wades rules. Metal cluster and carbonyl clusters.

Books: 1. Coordination Compounds:-S. A. F. Kettle.

2. Principal of Inorganic Chemistry:-Puri, Sharma and Kalia.

CH644 Frontiers in Bioinorganic Chemistry

In this course most recent advances in the area of Bioinorganic Chemistry will be discussed. The emphasis will be to discuss latest research papers and also those published in last 5 years in order to have an exposure to the latest advances in Bioinorganic Chemistry.


Detailed Syllabus: Five year Integrated M. Sc. in Mathematics

First Year Semester-I and II The course structure is same as the general course structure for B. Tech. students, and so course contents also remained same.

Semester-III

MA107 Probability and Statistics for Engineers (Elective-II)

L-T-P-Cr: 3-0-0-3

Course objectives: Various engineering applications require decision making depending on the behavior of the sample data. One cannot perform experiments for a large number of test cases. Probability and Statistics introduces various techniques to analyze the behavior of a system based on data available.

Syllabus:

Unit 1. Introduction: Modern Mathematical Statistics has various engineering applications, for instance, testing materials, and automatization in general, production planning marketing analysis. Field of applications, for instance, in Computer Science, demography, Management of natural resources, traffic control, urban planning etc be discussed. 2 Lectures

Unit 2. Moments, moments generating function, Chebyshev’s inequality, correlation and regression. 6 Lectures

Unit 3. Special Distributions: Discrete, uniform, Binomial, Geometric, Poisson, Exponential, gamma, Normal distribution. Functions of a random variable. 6 Lectures

Unit 4. Joint Distributions: joint, marginal and conditional distributions, product moments, independent of random variables, bivariate normal distribution. 6 Lectures

Unit 5. Sampling Distributions: The central limit theorem, distributions of the sample mean and the sample variance for a normal population, Chi-square, t and F distributions. 6 Lectures

Unit 6. Estimation: The methods of moments and the of maximum likelihood estimation, confidence intervals for the mean(s) and variance(s) of Normal populations. 6 Lectures

Unit 7. Testing of Hypothesis: Null and Alternative hypotheses, the critical and acceptance regions, types of errors, power of the test, the most powerful test and Neyman-Pearson Fundamental Lemma, tests for one sample problems for normal populations, ANOVA I & ANOVA II. 8 Lectures

Suggested Readings:

1. Probability and Statistics in Engineering by W.W. Hines, D.C. Montgomery, D.M. Goldsman, C.M. Borror

2. Introduction to Probability and Statistics for Engineers and Scientists by S.M. Ross 3. Introduction to Probability and Statistics by J.S. Milton & J.C. Arnold. 4. Introduction to Probability Theory and Statistical Inference by H.J. Larson 5. Probability and Statistics for Engineers and Scientists by R.E. Walpole, R.H. Myers, S.L. Myers,

Keying Ye 6. An Introduction to Probability and Statistics by V.K. Rohatgi & A.K. Md. E. Saleh. 7. Modern Mathematical Statistics by E.J. Dudewicz & S.N. Mishra 8. Introduction to the Theory of Statistics by A.M. Mood, F.A. Graybill and D.C. Boes


MA107 Probability and Statistics

Probability : Axiomatic definition of Probability, Conditional Probability and Independence, Bayes theorem, Random variables, Cumulative distribution function, probability mass function, probability density function, Some standard discrete and continuous random variables, Mathematical expectation, moments, moment generating function, Chebychev’s and Markov’s inequality, Functions of random variables and their distributions, Random vectors, Joint, marginal and conditional distributions, Independence of random variables, Law of large numbers, Central limit theorem.

Statistics: Introduction: Population, Sample, Parameters. Point Estimation: Method of moments, MLE, Unbiasedness, Consistency, Comparing two estimators (Relative MSE). Confidence interval estimation for mean, difference of means, variance, proportions, Sample size problem.

Recommended Reading:

1. Sheldon M. Ross, “A first course in Probability,” Prentice-Hall, 6ed, 2001 2. P. Meyer, “Introductory probability and statistical applications,” Oxford and IBH Publishing

Co. PVT Ltd, 1970 3. W. Feller, An Introduction to Probability Theory and its Applications, Vol. 1, 3rd Ed., Wiley,

1968. 4. Miller& Freund's Probability and Statistics for Engineers, 7th Edition, Pearson Prentice Hall,

2005 5. V.K. Rohatgi, A.K.Md.E.Saleh, An Introduction to Probability and Statistics, Wiley-

Interscience, 2000.

MA108 Numerical Methods for Engineers (Elective-II)

L-T-P-Cr: 3-0-0-3

Course objectives: At the end of the course, a student will be equipped with basic techniques of numerical methods like root finding, numerical integration, differentiation and will be able to attempt solving ODEs numerically. If they can implement these by writing codes, they will be ready to handle projects in their respective fields.

Syllabus:

Unit 1. Introduction: When a fixed data is available for a process, how interpolation can help estimating the value at any other desired print where data is not available be highlighted. For example, estimating population, prey – predator models be discussed. 2 Lectures

Unit 2. Iterative Techniques for solution of equations: Solutions of Non - linear equations – Simple iteration schemes, Bisection method, Newton-Raphson method, Secant method, order and rate of convergence of each of these methods. 8 Lectures

Unit 3. Solutions of linear equations – Gaussian elimination, Gaussian Jordan Method, LU decomposition and Jacobi & Gauss Seidal iteration methods. 6 Lectures

Unit 4. Interpolation – Interpolation, various forms of interpolating polynomials like Lagrangian interpolation of polynomials, Newton’s Divided Interpolation and Newton’s forward & backward difference formula, curve fitting. 8 Lectures

Unit 5. Numerical Integration – Newton Cotes type methods, Trapezoidal methods, Simpson’s rule 1/3rd, 3/8th rule, order of errors in integration, Numerical Differentiation, derivation and error of methods. 6 Lectures

Unit 6. Solution of initial value problems– Single step methods: Euler’s method and Modified Euler’s method, Runge– Kutta Second order method(with proof) &Runge’s Kutta Fourth


order methods(without proof); Multi step Methods: Predictor Corrector (Milne’s) Methods, Solution of Boundary value problems using finite difference methods, definition of convergence and stability. 10 Lectures

Suggested Readings:

1. Numerical Methods for Scientific & Engineering Computations, M.K.Jain, S.R.K.Iyengar & R.K.Jain, New Age International Publishers, New Delhi.

2. Introductory Methods of Numerical Analysis – S.S.Sastry – Prentice Hall of India Pvt. Ltd. 3. Advance Engineering Mathematics - E.Kreyszig, 8th edition , John Wiley & Sons, New

York. 4. A friendly introduction to Numerical Analysis, Brain Bradie, Pearson Education Low Price

Edition.

MA109 Linear Algebra

Objectives:

Prerequisites:

OUTCOMES:

Unit - 1. Vector spaces over any arbitrary field, linear combination, linear dependence and independence, basis and dimension, inner- product spaces,

Unit - 2. linear transformations, matrix representation of linear transformations, linear functional, similarity of matrices, dual spaces, Eigen vectors, rank and nullity inverse and linear transformations,

Unit - 3. Cayley-Hamilton Theorem, norms of vectors and matrices, transformation of matrices, adjoint of an operator, normal, unitary, hermitian and skew-hermitian operators, quadratic forms, characteristic and minimal polynomials, diagonalization, triangulation.


1. S. Axler, Linear Algebra Done Right, 2nd Edn., UTM, Springer, Indian edition, 2010. 2. Friedberg H. Stephen, Insel J. Arnold, Spence E. Lawrence, “Linear Algebra” PHI Learning,

Fourth Edition 2009. 3. G. Strang, Linear Algebra and Its applications, Nelson Engineering, 4th Edn, 2007. 4. S. Lang, Linear Algebra, Undergraduate Texts in Mathematics, Springer-Verlag, New York,

1989. 5. H.E. Rose, Linear Algebra, Birkhauser, 2002. 6. K. Hoffman and R. Kunze, Linear Algebra, Prentice Hall of India, 1996.

MA110 Numerical Solutions of ODE and PDE (Elective-II)

L-T-P-Cr: 3-0-0-3

Course objectives: With the current day challenges, most of the problems in engineering based on mathematical modelling are to be handled numerically due to their complex structure. This course provides necessary knowledge to a student to handle either ODEs or PDEs numerically. At the end of this course they will be ready to handle projects in the respective fields.

Syllabus:

Unit 1. Introduction: Examples of heated rod, lamina; vibrating strings, membranes. Difficulties in handling analytically the governing equations; the use of numerical techniques to handle linear and non-linear processes to be discussed. 2 Lectures


Unit 2. Ordinary Differential Equations: Numerical solutions of IVP-Difference equations, stability, error and convergence analysis. Single step methods- Taylor series method, Euler method, Picard’s method of successive approximation, 10 Lectures

Unit 3. Runge-Kutta method. Multistep methods – Predictor-Corrector method, Euler PC method, Milne and Adams Moulton PC method. System of 1st order ODE, higher order IVPs. Numerical solution of BVP- Linear BVP, finite difference methods, shooting methods, Newton’s method for system of equations, stability, error and convergence analysis, nonlinear BVP, higher order BVP. 10 Lectures

Unit 4. Partial Differential Equations: Classification of PDEs, Finite difference approximations to partial derivatives. Explicit and Implicit schemes for parabolic and hyperbolic equations, tri-diagonal systems. 10 Lectures

Unit 5. Solution of one dimensional heat equation by Schmidt and Crank- Nicolsan methods. Laplace equation using standard five point formula and diagonal five point formula, convergence and stability analysis, Introduction to ADI schemes. 20 Lectures

Suggested Readings:

1. Numerical Solutions of Differential Equations, M.K. Jain, 2nd Ed., Wiley Eastern

2. Computational Methods for PDE, M.K. Jain, S.R.K. Iyengar and R.K. Jain, Wiley Eastern

3. Introductory Methods of Numerical Analysis – S.S.Sastry – Prentice Hall of India Pvt. Ltd.

4. Numerical Solution of Partial Differential Equations: Finite Difference Methods- G.D.

Smith, Oxford Applied Mathematics & Computing Science Series

MA111 Complex Variables and PDE: Mathematics - III

Unit - 1. Complex Analysis : Complex Numbers, geometric representation, powers and roots of complex numbers, Functions of a complex variable, Analytic functions, (4 Lecture)

Unit - 2. Cauchy-Riemann equations; elementary functions, conformal mapping(for linear transformation); Contours and contour integration,

Unit - 3. Cauchy’s theorem, Cauchy integral formula; Power series, term by term differentiation, Taylor series, Laurent series, Zeros, singularities, poles, essential singularities, Residue theorem, Evaluation of real integrals and improper integrals.

Unit - 4. Partial Differential Equations: Introduction to PDE, basic concepts, second order semi linear PDE (Canonical form), D’ Alembert’s formula and Duhamel’s principle for one dimensional wave equation, Laplace’s and Poisson’s equations, Maximum principle with application, Fourier Method for IBV problem for wave and heat equation, rectangular region, Fourier method for Laplace’s equation in three dimensions, Numerical methods for Laplace’s and Poisson’s equations.


1. L. Evans: Partial Differential Equations, Graduate Studies in Mathematics, AMS, 2010.

2. E. Kreyszig: Advanced Engineering Mathematics, 8 th

Edition John Wiley and sons 1999. 3. G. Folland: Introduction to Partial Differential Equations, Princeton University Press,

1995. 4. Complex Variables and applications- R.V. Churchill and J.W. Brown, 7th edition, 2004,

McGraw- Hill.


MA112 Data Structure and Algorithms

Asymptotic notation; Sorting - merge sort, heap sort, priority queue, quick sort, sorting in linear time, order statistics; Data structures - heap, hash tables, binary search tree, balanced trees (red-black tree, AVL tree); Algorithm design techniques - divide and conquer, dynamic programming, greedy algorithm, amortized analysis; Elementary graph algorithms, minimum spanning tree, shortest path algorithms.


1. T. H. Cormen, C. E. Leiserson, R. L. Rivest and C. Stein, Introduction to Algorithms, MIT Press, 2001.

2. M. T. Goodrich and R. Tamassia, Data Structures and Algorithms in Java, Wiley, 2006. A. V. Aho and J. E. Hopcroft, Data Structures and Algorithms, Addison-Wesley, 1983.

3. S. Sahni, Data Structures, Algorithms and Applications in C++, 2nd Ed., Universities Press, 2005.

4. T. Budd, An Introduction to Object-Oriented Programming, Addison-Wesley, 2002. 5. Mark Allen Weiss, "Data Structures and Algorithms in C++", Addison Wesley, 2003. 6. Adam Drozdek, "Data Structures and Algorithms in C++", Brooks and Cole, 2001. 7. Aho, Hopcroft and Ullmann, "Data structures and Algorithm", Addison Welsey, 1984.

MA113 Object Oriented Programming in C++

Introduction, C++ Programming basics Functions, Object and Classes, Arrays and String arrays fundamentals, Operator Overloading, Inheritance, Pointer, Virtual Function, Streams and Files, Templates and Exceptions, The Standard Template Library.


1. Object Oriented Programming in C++ by Robert Lafore, Techmedia Publication. 2. Object Oriented Programming in C++ by Saurav Sahay, Oxford University press. 3. Object Oriented Programming in C++ by R. Rajaram, New Age International Publishers

2nd.

Semester-IV

MA115 Numerical Technique, Statistical Methods: Mathematics - IV

Unit - 1. Errors: Floating point Arithmetic and errors.

Unit - 2. Solutions of linear equations – Gaussian elimination, Gaussian Jordan Method, LU decomposition and Jacobi & Gauss Seidal iteration methods.

Unit - 3. Iterative Techniques for solution of equations: Solutions of Non - linear equations – Simple iteration schemes, Bisection method, Newton-Raphson method, Secant method, order and rate of convergence of each of these methods.

Unit - 4. Interpolation – Interpolation, various forms of interpolating polynomials like Lagrangian interpolation of polynomials, Newton’s Divided Interpolation and Newton’s forward & backward difference formula, curve fitting.

Unit - 5. Numerical Integration – Newton Cotes type methods, Trapezoidal methods, Simpson’s rule 1/3rd, 3/8th rule, order of errors in integration, Numerical Differentiation, derivation and error of methods.

Unit - 6. Solution of initial value problems– Single step methods: Euler’s method and Modified Euler’s method, Runge– Kutta Second order method(with proof) & Runge’sKutta Fourth order methods(without proof); Multi step Methods: Predictor Corrector (Milne’s)


Methods, Solution of Boundary value problems using finite difference methods, definition of convergence and stability. Numerical solution of PDE.

Unit - 7. Probability & Statistics-Moments, moments generating function, Chebyshev’s inequality, correlation and regression. Probability distribution: Binomial, Poison, Exponential, normal and lognormal, Sampling & sampling distributions, t, chi-square and F distributions. Testing of Hypothesis.

Text books: 1. Numerical Methods for Scientific & Engineering Computations- 2. M.K.Jain, S.R.K.Iyengar&R.K.Jain, New Age International Publishers, New Delhi 3. Introductory Methods of Numerical Analysis – S.S.Sastry – Prentice Hall of India Pvt. Ltd. 4. Introduction to Probability and Statistics for Engineers and Scientists by S.M. Ross 5. Fundamentals of Mathematical Statistics – V.K. Kapoor & S.C. Gupta – Sultan & Sons

Reference books: 1. Advance Engineering Mathematics - E.Kreyszig, 8th edition , John Wiley & Sons, New York 2. A friendly introduction to Numerical Analysis, Brain Bradie, Pearson Education Low Price

Edition 3. An Introduction to Probability and Statistics by V.K. Rohatgi & A.K. Md. E. Saleh.

MA116 Mathematics - IV Computing Lab

Numerical Technique, Statistical Methods Lab related technique using S/W package( MatLab/Arithmetica/Statistical Packages..etc.

MA117 Discrete Mathematics

Set Theory - sets and classes, relations and functions, recursive definitions, posets, Zorn - s lemma, cardinal and ordinal numbers; Logic - propositional and predicate calculus, well-formed formulas, tautologies, equivalence, normal forms, theory of inference. Combinatory - permutation and combinations, partitions, pigeonhole principle, inclusion-exclusion principle, generating functions, recurrence relations. Graph Theory - graphs and digraphs, Eulerian cycle and Hamiltonian cycle, adjacency and incidence matrices, vertex colouring, planarity, trees.


1. J.P. Tremblay and R. Manohar, Discrete Mathematical Structures with Applications to Computer Science, Tata McGraw Hill, New Delhi, 2001.

2. C. L. Liu, Elements of Discrete Mathematics, 2nd Edn. Tata McGraw-Hill, 2000. 3. K. H. Rosen, Discrete Mathematics and its Applications, 6th Edn. Tata McGraw-Hill, 2007. 4. V. K. Balakrishnan, Introductory Discrete Mathematics, Dover, 1996.

MA118 Algebra - I

Definition of groups, subgroups, normal subgroups and quotient groups, Lagrange’s theorem, cyclic groups, symmetric groups, alternating groups, homomorphism, fundamental theorem of homomorphism, permutation group, Cayley’s theorem, direct product of groups. Commutative ring with identity-Axioms, examples, integral domain, field, ideals, quotient ring, prime and maximal ideal, principal ideal domain, Euclidean domain, the field of quotients of an integral domain, polynomial ring over a field, Roots of polynomials, extension of fields, splitting fields.


1. J. A. Gallian, Contemporary Abstract Algebra, 4th Ed., Narosa, 1998.


2. I. N. Herstein, Topics in Algebra, Wiley, 2004. 3. J. B. Fraleigh, A First Course in Abstract Algebra, Addison Wesley, 2002. 4. D. S. Dummit and R. M. Foote, Abstract Algebra, John Wiley and Sons Inc, 3rd Edition. 2004. 5. W. J. Gilbert. and W. K. Nicholson, Modern Algebra with Applications, 2nd Edition, Wiley,

2004.

MA119 Analysis - I

Real number system and set theory: Completeness property, Archimedean property, Denseness of rational and irrationals, Countable and uncountable, Cardinality, Zorn’s lemma, Axiom of choice. Metric spaces: Open sets, closed sets, Continuous functions, Completeness, Cantor intersection theorem, Baire category theorem, Compactness, Totally boundedness, Finite intersection property. Functions of several variables: Differentiation, inverse and implicit function theorems. Rlemann-Stieitjes integral: Definition and existence of the integral, Properties of the integral, Differentiation and integration. Sequence and Series of functions: Uniform convergence, Uniform convergence and continuity, Uniform convergence and integration, Uniform convergence and differentiation. Equicontinuity, Ascoli’s Theorem


1. T.M. Apostol: Mathematical Analysis, Addison-Wesley, 1974. 2. S.K. Berberian: A first course in Real Analysis, UTM Springer, 1994. 3. M. Searcoid: Metric Spaces, UTM Springer, 2006. 4. W. Rudin: Principles of Mathematical Analysis, Tata McGraw Hill, 1976.

Semester-V

MA121 Topology

Topological spaces, weak topology, subspace topology, product and quotient spaces, continuous maps and homomorphism , Hausdorff spaces, compact and locally compact spaces, separation axioms, connectedness, paths, equivalence classes of paths, path connected spaces.


1. G.F. Simmons, Introduction to Topology and Modern Analysis, McGraw Hill, 1963. 2. James R. Munkres, Topology, Second Edition, Prentice Hall, 1999. 3. Stephan Willard, General Topology, Dover, 2004. 4. Kelly J. L. General topology. Graduate Texts in Mathematics, No. 27. Springer- 5. Verlag, New York-Berlin, 1975 6. M. A. Armstrong, Basic Topology, Springer (India), 2004

MA122 Advanced Calculus

Construction of the real numbers starting from scratch (that is from the set of counting numbers.), Sequences and series of real numbers, Continuity of real valued functions of one real variable, Differentiability of real valued functions of one real variable, The Riemann integral of real valued functions of one real variable.


7. Mathematical Analysis : An Introduction by Andrew Browder, ISBN 0 – 387 – 94614 – 4

MA123 Ordinary Differential Equation

Vector Fields, Graphical representation of solutions, Lipschitz functions, Integral inequalities, Uniqueness of solutions, Boundary value problems, Green’s functions, Distribution of zeros of solutions, Functional analytical preliminaries, Existence of solutions by Picard’s method, Existence by


Perron’s method, Uniqueness andcontinuous dependence, Continuity and differentiability w.r.t., initial Conditions and parameters, Continuation of solutions, Linear equations, general theory,Solutions of linear equations with constant coefficients, Equations with periodic coefficients, Floquet’s theory, Classification of stationary points and phaseportraits, Oscillation and boundedness of solutions, Lyapunov theory of stability, Poincare Bendixon theorem and applications.


1. G. F. Simmons, Ordinary Differential Equations with Applications and Historical Notes. Tata McGraw Hill Edition, 2003

2. G.F. Simmons and S.G. Krantz, Differential Equations Theory, Technique and Practice. (The Walter Rudin Student Series in Advanced Mathematics). Tata McGraw Hill Edition, 2006

3. E.A. Coddington, An Introduction to Ordinary Differential Equations, Prentice Hall, Englewood Cliffs, N.J., 1961

4. E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, Tata McGraw Hill, 1990

5. E. L. Ince, Ordinary Differential Equations, Dover Publications, 1958.

MA124 Numerical Analysis

Definition and sources of errors, solutions of nonlinear equations; Bisection method, Newton's method and its variants, fixed point iterations, convergence analysis; Newton's method for non-linear systems; Finite differences, polynomial interpolation, Hermite interpolation, spline interpolation; Numerical integration - Trapezoidal and Simpson's rules, Gaussian quadrature, Richardson extrapolation; Initial value problems - Taylor series method, Euler and modified Euler methods, Runge-Kutta methods, multistep methods and stability; Boundary value problems - finite difference method, collocation method.


1. S D Conte and Carl de Boor: Elementary Numerical Analysis, An Algorithmic Approach. McGraw Hill International Edition 3rd Ed. 1980.

2. F B Hildebrand: Introduction to Numerical Analysis, Dover Publications, 2nd Ed 2008. 3. K. D. Atkinson: Elementary Numerical Analysis, John Wiley and Sons, 3rd Edition, 2009. 4. M. T. Heath, Scientific Computing: An Introductory Survey, McGraw Hill, 2002. 5. C. F. Gerald and P. O. Wheatley, Applied Numerical Analysis, 5th edition, Addison Wesley,

1994. 6. D. Kincaid and W. Cheney, Numerical Analysis: Mathematics of Scientific Computing, 3rd Edn,

AMS, 2002.

MA126 Functional Analysis

Normed linear spaces, Banach spaces; Continuity of linear maps, Hahn-Banach theorem, open mapping and closed graph theorems, uniform boundedness principle; Duals and transposes, weak and weak* convergence, reflexivity; Spectra of bounded linear operators, compact operators and their spectra; Hilbert spaces, bounded linear operators on Hilbert spaces; Adjoint operators, normal, unitary, self-adjoint operators and their spectra, spectral theorem for compact self-adjoint operators.


1. B.V. Limaye, Functional Analysis, Second edition, New Age International, New Delhi,1996. 2. J. B. Conway, A Course in Functional Analysis, Second edition, Graduate Texts in

Mathematics, Vol. 96, Springer,1990 3. P. D. Lax, Functional Analysis. Wiley-Interscience, 2002 4. A. Taylor and D. Lay, Introduction to Functional Analysis, Wiley, New York, 1980 5. W. Rudin, Functional analysis, McGraw-Hill (1991) 6. C. Goffman and G. Pedrick, A First Course in Functional Analysis, Prentice-Hall, 1974


Semester-VI

MA127 Operation Research

Baseline model, linear programming problem, convex sets, convex functions and their properties, basic feasible solution, optimal solution, related theorems. Graphical method for solving two and three variable problems, simplex method, Big M method, degenerate LP problem, product form of inverse of a matrix, revised simplex method, duality theorems, complementary slackness principle, inverse of a matrix, revise simplex method, duality theorems, complementary slackness principle, primal-dual simplex algorithm, sensitivity analysis, parametric programming, linear integer programming problem, Gomory cutting plane method, branch and bound algorithm, 0-1 implicit enumeration, transportation problem, assignment problem with their solution methodologies. Theory of games, two-person zero-sum games with and without saddle-points, pure and mixed strategies, graphical method of solution of a 2×n game, solution of and m×n game by simplex method.


1. N. S. Kambo, Mathematical Programming Techniques, East West Press, 1997. 2. E.K.P. Chong and S.H. Zak, An Introduction to Optimization, 2nd Ed., Wiley, 2010. 3. R. Fletcher, Practical Methods of Optimization, 2nd Ed., John Wiley, 2009. 4. D. G. Luenberger and Y. Ye, Linear and Nonlinear Programming, 3rd Ed., Springer India, 2010. 5. M. S. Bazarra, J.J. Jarvis, and H.D. Sherali, Linear Programming and Network Flows, 4th Ed.,

2010. (3nd ed. Wiley India 2008).

MA129 Partial Differential Equation

First order partial differential equation, linear and quasi-linear first order equations, method of characteristics, general first order equation, Cauchy problem for second order p.d.e. characteristics, canonical forms, Cauchy problem for hyperbolic equations, one dimensional wave equation, Riemann function, Banach spaces, linear functions and linear operators, Fredholm alternative in Banach spaces, the Fredholm alternative in Hilbert spaces, elements of potential theory, fundamental solutions, the maximum principle, Dirichlet problem for the disc, single and double layers, Poisson’s equations,. Study of the Dirichlet problem, Greens function and separation of variables, Green’s function of a second order differential operator, Eigen functions expansions, the heat equation.


1. I. N. Sneddon, Elements of Partial Differential Equations, McGraw Hill, 1957. 2. R. McOwen: Partial Differential Equations, Methods and Applications, Pearson Education,

2002. 3. L. Evans: Partial Differential Equations, Graduate Studies in Mathematics, AMS, 2010. 4. W. E. Willams, Partial Differential Equations, Oxford, 1980. 5. G. B. Folland, Introduction to partial differential equations. Princeton University Press, 1995. 6. J. Rauch, Partial differential equations. Graduate Texts in Mathematics, 128. Springer-Verlag,

1991.

MA130 Measure Theory and Integration

Algebra of sets, ring, sigma-ring, field and sigma field of sets, monotone class, Lebesgue measure and outer measure, measurable sets, measurable functions, Littlewood’s three principles, existence of non-measurable set. Lebesgue integral of a bounded function over a set of finite measure, the integral of a non-negative function, general Lebesgue integral, convergence in measure, functions of bounded variation, absolute continuity, differentiation and integration, general measure and integration, signed measure, Hahn-jordan decomposition, Radon-Nikodym and Lebesgue


decomposition theorems, product measures and Fubini’s theorem. LP spaces, Minkowski and Holder inequalities, convergence and completeness approximation in LP, bounded linear functionals on LP

spaces.


1. H. L. Royden, Real analysis. Third edition. Macmillan Publishing Company, New York, 1988. 2. W. Rudin, Real and complex analysis. Third edition. McGraw-Hill Book Co., New York, 1987. 3. G. De Barra, Measure Theory and Integration, New Age International, 1981. 4. P.R. Halmos, Measure Theory, GraduateText in Mathematics, Springer-Verlag, 1979. 5. Inder K. Rana, An Introduction to Measure and Integration (2nd ed.), Narosa Publishing

House, New Delhi, 2004.

Semester-VII

MA131 Introduction to Continuum Mechanics

Introduction to tensors. Stress tensor. Equilibrium equations. Mohr’s circle for plane stress. Deformation, Strain tensor, Rate of deformation tensor. Equations of motion. Dynamic similarity. Exact solutions. Laminar boundary layer over a float plat. Vorticity circulation and irrational flow. Torsion of cylindrical bars, Plane elastic waves.

MA132 Numerical Solutions of Ordinary and Partial Differential Equations

Ordinary Differential Equations: Numerical solutions of IVP – Difference equations, stability, error and convergence analysis. Single step methods – Taylor series method, Euler method, Euler method, Picard’s method of successive approximation, Runge-Kutta method. Multi step methods – Predictor-Corrector method, Euler PC method, Milne and Adams Moulton Pc method. System of first order ODE, higher order IVPs. Numerical solutions of BVP – Linear BVP, finite difference methods, shooting methods, Newton’s method for system of equations, stability, error and convergence analysis, non-linear BVP, higher order BVP.

Partial Differential Equations: Classification of PDEs, Finite difference approximations to partial derivatives, convergence and stability analysis. Explicit and Implicit schemes – Crank –Nicolson scheme, tri-diagonal system, Laplace equation using standard five point formula and diagonal five point formula. ADI scheme, hyperbolic equation, explicit scheme, method of characteristics. Solution of one dimensional heat conduction equation by Schmidt and Crank Nicolson methods. Solution of wave equation.


1. G. D. Smith, Numerical Solutions to Partial Differential Equations, Oxford University Press, 3rd Edn., 1986.

2. J. C. Strikwerda, Finite Difference Schemes and Partial Differential Equations, SIAM, 2004. 3. L. Lapidus and G. F. Pinder, Numerical Solution of Partial Differential Equations in Science and

Engineering, John Wiley, 1982.

Semester-VIII

MA135 Theory of Computation

Basic ideas of automata, transition systems, equivalence of NFA and DFA. Classification of languages, operations on languages, languages and automata. Regular expressions, pumping lemma for regular sets, application of pumping lemma, closure properties of regular sets, regular sets and regular grammars. Context free languages context free Grammers, LR(k) Grammars, closure properties of


languages, Turing machines, linear bounded automata, recursive functions, partial recursive functions and Turing machines.


1. Sipser, Introduction to the Theory of Computation, Thomson, 2004. 2. H. R. Lewis and C. H. Papadimitriou, Elements of the Theory of Computation, PHI, 1981. 3. J. E. Hopcroft and J. D. Ullman, Introduction to Automata Theory, Languages and

Computation, Narosa, 1979.

MA136 Mathematical Logic

Formal theories, consequence and deduction. Classical Propositional Calculus: Syntax, truth, validity, Adequacy of connectives, normal forms, applications to circuit design, Axiomatic treatment, deduction theorem, derived rules of inference, Soundness, Independence of axioms, Consistency, completeness, Completeness w.r.t. Boolean algebras, Computer-assisted formal proofs: tableaux, resolution. Classical first order theories: Syntax, satisfaction, truth validity, Axiomatic treatment, Equality, Examples of first-order theories : Peano arithmetic, Groups, Orderings, Basis of axiomatic set theory, Deduction theorem, derived rules of inference, soundness, Consistency, completeness, Lowenheim-Skolem theorems, compactness, First-order theories with equality, Decidability, Computer-assisted formal proofs: tableaux, resolution. Gödel’s incompleteness theorems. Examples of other/non-classical logics. Other proof techniques-natural deduction, sequent calculus.


1. Robert Causey, Logic, Sets, and Recursion, 2nd edition (Jones and Bartlett, 2006). 2. J. R. Shoenfield, Mathematical logic. Addison-Wesley Publishing Co., 1967, 2001. 3. E. Mendelson: Introduction to Mathematical Logic. Chapman and Hall, 1997. 4. S. M. Srivastava, A Course on Mathematical Logic, Universitext, Springer, 2008.


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GROUP – A ELECTIVES -----------------------------------------------------------------------------------------------------------------

MA141 Probability Theory – I

Sets and set operations, Sample space, Sigma fields, Measurable spaces, Events. Measure spaces, Caratheodory’s extension theorem, Construction of measures, Product spaces, Product measures. Probability measurer and its properties. Independence of events. Measurable functions, Approximations through simple functions, Random variables. Induced measures and probability distribution functions: discrete, continuous and absolutely continuous, one to one correspondence with induced probability measure, decomposition. Independence of random variables, Borel-Cantelli lemmas. Integration in measure spaces, Expectation, Fatou’s lemma, Monotone convergence and dominated convergence theorems, Uniform integrability, Markov, Chebyshev, Cauchy-Schwarz, Minkowski,Holder, Jensen and Lyapunov inequalities. Absolute continuity of measures, Randon-Nikodym theorem, Conditional expectation, Conditional probability measures. Fubini’s theorem, Convolution


1. K. R. Parthasarathy, Introduction to Probability and Measure, TRIM Series, Vol .33, Hindustan book agency, New Delhi, 2005.

2. Krishna B.Athreya and S. Lahiri, Measure theory and probability theory. Springer Texts in Statistics, Springer Verlag, 2006.

3. M. Capinski and E. Kopp, Measure, Integral and Probability, 2nd Edition, Springer, 2007.

MA142 Algebra – II

Fields: definition and examples. Ring of polynomials over a field. Field extensions. Algebraic and transcendental elements, Algebraic extensions. Splittingfield of a polynomial. Algebraic closure of a field, Uniqueness. Normal, separable,purely inseparable extensions. Primitive elements of a field extension – simpleextensions. Fundamental theorem of Galois. Solvability by radicals - Solutions of cubic and quartic polynomials, Insolvabity of quintic and higher degreepolynomials. Geometric construct-ions. Cyclotomic extensions. Finite fields. Cyclotomic polynomials and its properties. Traces and norms. Modules definition, examples and basic properties. Free modules, submodules and quotient modules, isomorphism theorems. Localization. Direct sum and direct

products. Noetherian and Artinian rings and modules, structure of Artinian rings, Hilbert basis theorem. Jordan - Holder theorem. Radicals of modules, Nakayama lemma.

MA143 Commutative Algebra

Commutative rings, ideals, prime and maximal ideals, Noetherian Artinian rings, Primary decomposition and Noetherian rings, Modules over commutative rings, Exact sequences, the Hom and tensorufunctors, rings and modules of fractions, integral dependence, valuations and dedekind domains.

MA144 Differential Geometry

Theory of Space Curves-The Serret-Frenet formulas. Gauss Theory of Surfaces- First and second fundamental form, Examples, Weingarten map, Principalcurvatures, Gaussian curvature, Examples. Computation of the curvature in standard spaces: Sphere, Torus, Surfaces of revolution etc. Levi-Civita connection Uniqueness, Gauss theorem Egregium, Hilbert’s theorem on the positivity of curvature at a point on a compact surface in R3. Geodesics, Equations of


geodesics, Examples. Jacobi fields, Conjugate points etc. Riemannian area element on a surface, Gauss Bonnet theorem. Differentiable manifold, Differentiable structure. Sub-manifolds, Immersions, Embeddings. Metric tensor, Riemannian connection and curvature.

MA145 Algebraic Topology

(Syllabus under Preparation)

MA146 Number Theory

Peano’s axioms, divisibility, properties of integers and prime numbers, fundamental theorem of arithmetic. Congruences, solutions of congruences, congruences of degree one, congruences of higher degree. Quadratic residues, quadratic reciprocity, Jacobi symbol, greatest integer function, arithmetic functions, the Mobius inversion formula, multiplication of arithmetic functions, recurrence functions, some Diophantine equations, simple continued fractions, distribution of primes, algebraic numbers, algebraic number fields, partition function.

MA147 Applied Matrix Theory

Review of basic lin.alg. Canonical factorization. Q-Forms. Courant-Fischer minmax and related theorems. Perron-Frobenius theory. Matrix-stability. Inequalities,g-inverse (A-, Am, A+). Direct, iterative, projection and rotations methods forsolving linear systems and eigenvalues problems. Applications.

MA148 Approximation Theory

Best approximation in normed spaces. Tchebycheff systems. Tchebycheff--Weierstrass - Jackson - Bernstein - Zygmund-Nikolaev etc. theorems. Fourier series, Splines, Convolutions, Linear positive, Variation diminishing, Simultaneous etc. approximations. Direct-inverse-saturation theorems.

Applications.

MA149 Advanced Complex Analysis

Algebraic Functions and branched coverings of P1 , Sheaves and Analytic continuation, Curves in projective space; resultants, Holomorphic differentials, Sheaf cohomology Line bundles and projective embeddings; canonical curves, Riemann – Roch and Serre duality via distributions, Jacobian variety


1. Forster, Lectures on Riemann Surfaces, Springer – Verlag, 1981

2. Buser, Geometry and Spectra of Compact Riemann Surfaces, Birkhauser, 1992

MA150 Computational Linear Algebra

Basic concepts, floating point numbers and errors in computation, stability of algorithms and conditioning of problems. Numerical solutions of linear systems, direct methods-Gaussian elimination with pivotal condensation, operational count and error bound. LU factorization, QR factorization, condition number and ill conditioned systems, matrix and vector norms, error bounds, Wilkinson’s algorithm for ill-conditioned systems, iterative methods-Jacobi, Gauss-Seidel, SOR. Convergence and rate of convergence, conjugate gradient method, Arnoldi process and GMRES, large sparse systems, matrix inverse, generalized inverse. Least squares solution of linear systems, numerical eigenvalue problems, computation of eigenvalues and eigenvectors, singular value decomposition and least squares problem, SVD and the pseudo inverse, Jacobi, Givens and Householder’s methods for symmetric matrices, Hessenberg QR iteration.


MA151 Fluid Dynamics

Kinematics of Fluids in Motion : Continuum Hypothesis, Lagrangian and Eularian description, Introduction to stream lines, velocity potential, vorticity vector etc.

Equation of continuity. Equations of Motion, Euler’s equations of motion, Bernouli’s equation. Potential flows. Three-dimensional flows: Singularities and image systems. Weiss’ sphere theorem, axi-symmetric flows, Stokes stream function. Two-dimensional flows : stream function and complex potential for two-dimensional, irrotational incompressible flows, two-dimensional image systems, Milne-Thomson circle theorem and its applications, Blasius theorem, use of conformal transformations, Kutta-joukowski condition, Karman vortex street.

Viscous flows: Stress analysis in fluid motion, relations between stress and rate of strain, Navier-Stokes equations of motion of a viscous fluid, some exact solutions of Navier – Stokes equations, flow past a sphere, Prandtl’s boundary layer theory, Karman’s integral equation, inviscid compressible flow – Propagation of pressure change.

MA152 Statistical Inference - I

Parametric models, parameters, random sample and its likelihood, statistic and Its sampling distributions, problems of inference. Examples from standard discrete and continuous models such as Bernoulli, Binomial, Poisson, Negative Binomial, Normal, Exponential, Gamma, Weibull, Pareto etc. Concept of sufficiency, minimal sufficiency, Neyman factorization criterion, Fisher information, exponential families. Maximum likelihood estimators, method of moment estimators, percentile estimators, least squares estimators, minimum mean squares estimators, uniformly minimum variance unbiased estimators, Rao- Blackwell theorem, Cramer-Rao lower bond, different examples. Statistical Hyptheses-simple and composite, statistical tests, critical regions, Type-I and Type-II errors, size and power of a test, Neyman Pearson lemma and its different applications. Most powerful test, uniformly most powerful test, unbiased test and uniformly most unbiased test. Likelihood ratio test. Interval estimation, confidence intervals, construction of confidence intervals, shortest expected length confidence interval, most accurate one sided confidence interval and its relation to UMP test.


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GROUP – B ELECTIVES -----------------------------------------------------------------------------------------------------------------

MA161 Probability Theory – II

Tight families of probability distributions, Convergence of probability distribution functions, Helly’s theorem, Helly-Bray theorem, Skorohod’s fundamental theorem, Scheffe’s theorem; Weak convergence, Uniform integrability and convergence of expectations. Characteristic functions, Inversion formula, Levy continuity theorem, Expansion of characteristic functions, Polya’s theorem, Bochner’s theorem. Moments and uniqueness of the probability distribution, Frechet-Shohat theorem. Central limit theorems: Lindeberg-Levy, Lyapunov and Lindeberg-Feller. Various modes of convergence and the interrelations. Strong and weaklaws of large numbers.

MA162 Stochastic Process

Definition and classification of general stochastic processes. Markov Chains: Definition, transition probability matrices, classification of states, limiting Properties. Markov Chains with Discrete State Space: Poisson process, birth and death processes. Renewal Process: renewal equation, mean renewal time, stopping time. Markov Process with Continuous State Space: Introduction to Brownian motion.

MA163 Mathematical Methods

Multiple Integral Theorems and their Applications: Green’s theorem, Stoke’s theorem and Gauss divergence theorem. Integral Transforms: Fourier, Fourier sine/cosine and Hankel Transforms with their inverse transforms (properties, convolution theorem and application to solve differential equation). Perturbation Methods: Perturbation theory, Regular perturbation theory, Singular perturbation theory, Asymptotic matching. Calculus of Variation: Introduction, Variational problem with functionals containing first order derivatives and Euler equations.

Functionals containing higher order derivatives and several independent variables. Variational problem with moving boundaries. Boundaries with constraints. Higher order necessary conditions, Weiretrass function, Legendre’s and Jacobi’s condition. Existence of solutions of variational problems. Rayleigh-Ritz method, statement of Ekeland’s variational principle.

MA164 Optimization

Optimization Problem: various examples, Characterization of optimality and Constrained optimal problems, Convex sets and convex functions and their Properties, Non-linear programming theory - Kuhn-Tucker conditions, Lagrange’s theory, Duality theory, Search techniques - one variable and several variables, Pontryagin’s maximum principle and its applications, Dynamic programming and its applications.

MA165 Statistical Simulation and Data Analysis

Simulation of random variables from discrete, continuous, multivariate distributions and stochastic processes, Monte-Carlo methods. Regression analysis, scatterplot, residual analysis. Computer Intensive Inference Methods - Jack-Knife, Bootstrap, cross validation, Monte Carlo methods and permutation tests. Graphical representation of multivariate data, Cluster analysis, Principal component analysis for dimension reduction.


MA166 Multivariate Analysis

Multivariate normal distribution, assessing normality, Wishart and Hotelling’s T2; Comparisons of several multivariate means, MANOVA; multivariate linear regression models; principal components, factor analysis; canonical correlations; discrimination and classification.

MA167 Statistical Inference - II

Group families, the principle of equivariance, location family, scale family, location scale family. Minimum risk equivariance estimators, risk functions, admissibility, prior distribution, posterior distribution, geometric interpretation for finite parameter space, Bayes estimators, limit of Bayes estimators, minimax estimators and their relations. Review of convergence in probability and convergence in distributions. Consistency results of the mle's, and the mme's. Asymptotic relative efficiency. Consistent and Asymptotic Normal (CAN) estimators, Invariance of CAN estimators under different transformations. CAN estimators obtained by moments and MLE methods in one parameter exponential family and multiparameter exponential family. Sequential Probability Ratio Tests and its applications in different practical problems. Invariant test and unbiased tests, Likelihood ratio test and its asymptotic distributions, Wald test, Rao's score test, Pearson c2 test for goodness of fit. Large sample tests and confidence intervals based on CAN estimators. Consistency of large sample tests and asymptotic powers of large sample tests.

MA168 Time Series Analysis

Linear stationary processes, AR, MA, ARMA and ARIMA; identification, estimation of the models; forecasting time series regression; Fourier analysis, spectral representation of a stochastic process, properties of ARMA processes in the frequency domain; estimation of the spectrum, Kalman filter.

MA169 Finite Element Method

Introduction and motivation, Weak formulation of BVP and Galerkin approximation, Piecewise polynomial spaces and finite element method, Computer implementation of FEM, Results from Sobolev spaces, Variational formulation of elliptic BVP, Lax-Milgram theorem, Estimation for general FE approximation, Construction of FE spaces, Polynomial approximation theory in Sobolev spaces, Variational problem for second order elliptic operators and approximations, Mixed methods, Iterative techniques.

MA170 Computational Fluid Dynamics Governing equation of Fluid Dynamics, conservation form, simple CFD techniques, Lax-Wendroff technique, Mac Cormack’s techniques, finite volume method, application to Euler equations, upwind difference scheme, viscous flow solutions, staggered grid, SIMPLE Algorithm, SOLA Algorithm, boundary element method and application to potential flows.

MA171 Financial Mathematics

Introduction to Mathematical Finance: Stocks, bonds and financial markets, Options and forward contracts, Pricing by no-arbitrage consideration, One-period binomial model, The Fundamental Theorems of Asset Pricing. The Binomial Asset Pricing Model: Pricing by replication in a multi-period model, Basic probability, Martingales and European derivative securities, The risk-neutral probability measure, Derivative securities with random payment times, Computational issues. The Black-Scholes Formula: Scaling time and model parameters, Using the Central Limit Theorem to obtain a limit, The role of volatility. Brownian motion: Limit Theorem to obtain a limit. The role of volatility. Brownian motion: Limit of scaled random walks, Definition of Brownian motion, Quadratic variation of Brownian motion, The problem of integration with respect to Brownian motion. Stochastic calculus: Ito’s integral. Ito’s formula, Geometric Brownian motion. The Black-Scholes Formula Revisites: Evolution of a call option price, Evolution of replication portfolio, Matching evolutions to price the


call. Optimal Consumption and Investment in the Binomial Model: Risk aversion, some decision theory and utility functions, Dynamic programming. Optimal Consumption and Investment in the Brownian Motion Model: The Merton problem, The optimal-control formulation and the Hamilton-Jacobi-Bellman (HJB) equation, Constant relative risk aversion (CRRA) utilities and proportional investment strategies, Further Topics in Optimal Consumption and Investment. The martingale

method, Complete and incomplete markets.

MA172 Graph Theory and Algorithms

Graphs, paths and circuits, trees and fundamental circuits, cut-sets and cut-vertices, planar and dual graphs, colouring, covering and partitioning, direct graphs, enumeration of graphs, graph theoretic algorithms and applications.

MA173 Nonlinear Dynamical Systems

Picard's theorem, Boundedness of solutions, Omega limit points of bounded trajectories. LaSalle's invariance principle; Stability via Lyapanov's indirect method, Converse Lyapanov functions, Sublevel sets of Lyapanov functions, Stability via Lyapanov's direct method, Converse Lyapanov's theorems, Brokett's theorem, Applications to control system; Stable and unstable manifolds of equilibria, Stable manifold theorem, Hartman-Grobman theorem, Examples and applications, Center manifold theorem, Center manifold theorem, Normal form theory, Examples and applications to nonlinear systems and control; Poincare map, and stability theorems for periodic orbits; Elementary Bifurcation theory.

MA174 Neural Networks

INTRODUCTION - what is a neural network? Human Brain, Models of a Neuron, Neural networks viewed as Directed Graphs, Network Architectures, Knowledge Representation, Artificial Intelligence and Neural Networks.

LEARNING PROCESS 1 – Error Correction learning, Memory based learning, Hebbian learing,

LEARNING PROCESS 2: Competitive, Boltzmann learning, Credit Assignment Problem, Memory, Adaption, Statistical nature of the learning process,

SINGLE LAYER PERCEPTRONS – Adaptive filtering problem, Unconstrained Organization Techniques, Linear least square filters, least mean square algorithm, learning curves, Learning rate annealing techniques, perception –convergence theorem, Relation between perception and Bayes classifier for a Gaussian Environment.

MULTILAYER PERCEPTRON – Back propagation algorithm XOR problem, Heuristics, Output representation and decision rule, Computer experiment, feature detection.

References:

1. Neural networks A comprehensive foundations, Simon Hhaykin, Pearson Education 2nd Edition 2004

2. Artificial neural networks - B.Vegnanarayana Prentice Halll of India P Ltd 2005 3. Neural networks in Computer intelligence, Li Min Fu TMH 2003 4. Neural networks James A Freeman David M S kapura Pearson Education 2004

MA175 Parallel Numerical Algorithms

(Syllabus under Preparation)


MA176 Similarity Transformations and Perturbation Methods

General dimensional theory, Global similarity transformations, Transformation Groups, Infinitesimal Transformations, Invariant Functions, Prolongation and Invariance of Differential Equations (ODE &PDE), Invariant Solutions.

Parameter Perturbations, Coordinate Perturbations, Order Symbols and Gauge Functions, Asymptotic Expansions and sequences, Straightforward expansions and sources of non-uniformity, Type change of a PDE, Method of strained Coordinates, Method of matched and composite asymptotic expansions, Variation of Parameters, Method of Multiple scales.

MA177 Banach Algebr

Normed algebra, Banach algebra, Gelfand-Mazur theorem, spectrum, spectral radius formula, commutative Banach algebra, Maximal ideal space.

MA178 Advanced Numerical Methods

Finite difference discretization –Truncation error, stability, consistency and convergence, Lax equivalence theorem (statement only), Finite difference treatment of 2nd order nonlinear partial differential equations of elliptic type, irregular boundary shapes and body fitted grid generation. Convergence, acceleration of converge, approximate factorization method, multigrid method. Second order equations of parabolic type- ADI method, implicit schemes. Solution of hyperbolic system of conservation law, computation of discontinuous solution. Introduction to finite volume method with simple examples.

MA179 Non Linear Programming

Convex set, convex function, Generalized convex functions. Fritz john and Karush-Kuhn-Tucker optimality condition, duality, Convex programming problems, Quadratic programming, Fractional programming, Separable programming, Non-linear integer programming. Constrained Optimization: One dimensional search methods, Multi-dimensional search methods. Unconstrained optimization: Conjugate gradient method, Generalized reduced gradient methods, Method of feasible direction.

MA180 Theory of Operators

Bounded linear operators on Banach and Hilbert spaces, self-adjoint and normal operators, compact operators, Fredholm alternatives, Eigen-values and Eigen vectors, spectrum, spectral theory, Banach algebra of bounded linear operators, unbounded operators, nonlinear operators, monotone, strictly monotone and strongly monotone operators.

*****


Detailed Syllabus for Five-Year Integrated M. Sc. Course in Physics:

First Year Semester-I and II The course structure is same as the general course structure for B. Tech. students, and so course contents also remained same.

Second Year – Third Semester

PH104 Mechanics, Waves and Oscillations and Continuum Mechanics

Unit - 1. Systems of particles: Centre of mass, Linear momentum, Conservation of linear momentum, System with varying mass: A Rocket; Potential energy and conservation of energy, Conservative and non-conservative forces, Force as gradient of potential energy; Particle collisions: Elastic and inelastic collision.

Unit - 2. Angular momentum of a particle and system of particles, Angular momentum of rigid body rotating about a fixed axis, Conservation of angular momentum, Torque, Rotation about a fixed axis. Moment of inertia and its calculation.

Unit - 3. Two-body problem, reduction to one-body problem, reduced mass; definition and nature (conservative nature, spherically symmetric potential) of central force, features of motion under central force field; differential equation of orbit; energy expression, simple derivations of nature of force from equation of orbit and vice versa; motion under inverse square attractive force: polar equation of conics, dependence of nature of orbits on energy, Kepler’s laws, Newton’s law of gravitation from Kepler’s law; Laplace-Runge-Lenz vector; nature of orbit under inverse square repulsive force; equivalent one dimensional motion, stability of orbit.

Unit - 4. The world and gravitational force, Newton’s law of gravitation, Gravitation near earth’s surface, Gravitation inside earth, Gravitational potential energy, Planets and satellites: Kepler’s Laws.

Unit - 5. Torsion of a cylinder, Bending moment, Cantilever, Beam supported at both ends, Beams clamped at both ends, Reciprocity theorem; Elastic energy in different types of deformation.

Unit - 6. Molecular forces, Surface tension and surface energy, Angle of contact, Excess pressure over a curved liquid surface, Capillarity, Shape of liquid drops. Ripples, Streamline and turbulent motion, Reynold’s number; Poiseuille’s equation. Stoke’s law, Rotating cylinder and rotating disc methods for determining the coefficient of viscosity, Euler’s equation for liquid flow; Bernoulli’s theorem and its applications.

Unit - 7. Simple harmonic motion, Motion of simple and compound pendulum, Damping, Forced vibration and resonance, Wave equation in one dimension, Phase velocity, Group velocity, Dispersion. Types of wave, Transverse and longitudinal waves. Speed of a travelling waves, Wave speed on a stretched string, Energy and power of a travelling string wave, The principle of superposition for waves, Interference of waves, Stationary waves, Sound waves, speed of sound Intensity of sound. Measurement of intensity; The Doppler effect, Shock waves.

Recommended books:

1. Physics Part –1: Resnick and Halliday. 2. Mechanics: D.S.Mathur.


3. Concept in Physics Vol. I: H.C.Verma. 4. Mechanics: R.K.Shukla and Anchal Srivastava

PH108 PHYSICS LAB - II

L-T-P-Cr: 0-0-3-1

1. Determination of Young’s modulus of material of a metallic bar by bending of beam method. 2. To determine the frequency of ac mains supply using sonometer. 3. Determination of the coefficient of viscosity of highly viscous liquid by Stoke’s method. 4. Determination of surface tension of a liquid by capillary tube method. 5. Determination of acceleration due to gravity using compound pendulum. 6. Mass susceptibility of paramagnetic substance by Quinkes’s method. 7. To determine the coefficient of viscosity of a liquid by rotating viscometer. 8. Determination of the thermo-electric power and MP of paraffin wax.

PH107 Fundamentals of Bio-sciences

PH108 Physics Lab – II

1. Determination of Young’s modulus of material of a metallic bar by bending of beam method.

2. To determine the frequency of ac mains supply using sonometer.

3. Determination of the coefficient of viscosity of highly viscous liquid by Stoke’s method.

4. Determination of surface tension of a liquid by capillary tube method.

5. Determination of acceleration due to gravity using compound pendulum.

6. Mass susceptibility of paramagnetic substance by Quinkes’s method.

7. To determine the coefficient of viscosity of a liquid by rotating viscometer.

8. Determination of the thermo-electric power and MP of paraffin wax.

Second Year – Fourth Semester

PH109 Electricity and Magnetism

Unit - 1. Vector and scalar fields, physical and mathematical concepts of gradient, divergence and curl, Gauss’s theorem and Stokes’ theorem.

Unit - 2. Coulomb’s law, Gauss’s law in integral and differential form, electric potential and relation with E, electrostatic energy density, dielectrics, Relation between E, D and P vectors, dielectric susceptibility, boundary conditions on E and D.

Unit - 3. Motion of charged particles in electric and magnetic fields, Biot-Savart law, Ampere’s law in integral and differential form, applications, Hall effect. Types of magnetism – diamagnetism, paramagnetism and ferromagnetism, Weiss field, domains, magnetic permeability and susceptibility, Relation between B, H and M vectors, boundary conditions on B and H, hysteresis.

Unit - 4. Faraday’s law of electromagnetic induction in integral and differential form, Inductance, magnetic energy density, continuity equation for charge, displacement current, Maxwell’s equations in free space, electromagnetic wave equation for plane waves in dielectric medium and free space, relation between E, B, and k, Pointing vector, radiation pressure.

Recommended books: 1. Fundamental of Physics: Halliday, Resnick and Walker (6th Edition) 2. Engineering Electromagnetics: William Hayt, John Buck, McGraw-Hill Companies (7th Edition)


3. Electricity and Magnetism: Jackson 4. Introduction to Electrodynamics (3rd Edition): David J. Griffiths. 5. EM Waves and Fields: P. Lorrain and O. Corson. 6. Electronic Devices and Circuits: J. Millman and C. Halkias.

PH110 Quantum Mechanics - I

Unit - 1. Wave like properties of particles. de Broglie’s postulate. de Broglie wavelength. Phase velocity and group velocity of de Broglie waves, Wave-particle duality, Davisson-Germer experiment. Uncertainty principle and its implications. Heisenberg’s thought experiment with gamma ray microscope. Young’s double slit experiment with electrons/photons. Uncertainty principle as a consequence of wave packet description of particles.

Unit - 2. The concept of measurement in quantum theory. Specification of the state of a system in quantum theory. Representation of observables by hermitian operators. Operators associated with position, linear momentum, and kinetic energy. Simple properties of hermitian operators. Commutation relation between operators. Simple properties of hermitian operators. Eigenvalues and eigenfunctions of hermitian operators. Postulates of quantum theory regarding the results of measurement of an observable. Expansion postulate (discussion at an elementary level). Orthogonality and completeness.

Unit - 3. Plausibility arguments leading to Schroedinger’s equation in one dimension. Consistency with de Broglie postulate, classical energy equation and the principle of superposition. The Schroinder equation as an operator equation. Generalization of the one dimensional Schroedinger’s equation to three dimensions.for a particle in a potential V(r). The Schroedinger equation as an operator equation. Statistical interpretation of wavefunction. Probability density. Normalization. Expectation values. Schroedinger’s time-independent equation. Stationary states. Behaviour of wavefunctions for bound and unbound states. Equation of continuity. Probability current density.

Unit - 4. Application of Schroedinger equation to simple systems. Free particle or particle in a constant onedimensional potential. The step potential. Boundary conditions on the wavefunction and its derivative at a point where the potential function has a finite discontinuity. Solution of the step potential problem with energy less than or greater than the step height. Reflection and transmission coefficients. Finite potential barrier. Barrier penetration. Tunnelling, Reflection and Transmission coefficients. The infinite square well potential or particle in a box. Energies and wavefunctions of the ground and excited states. Ground state energy from the uncertainty principle, symmetric and antisymmetric solutions. The simple harmonic oscillator. Energy eigenvalues. Ground state wavefunction. Zero-point energy from the uncertainty principle. Parity of the eigenfunctions. Nodes of the eigenfunctions. Schroedinger equation in three dimensions. Particle in a rectangular box. Eigenfunctions and energy eigenvalues. Degeneracy.

Unit - 5. Particle in a spherically symmetric potential. Form of the ∇2 operator in spherical polar coordinates may be assumed. Method of separation of variables. Radial and angular parts of the wave function. Orbital angular momentum L = r x p. Operators for the components of L. Commutation relations involving Lx, Ly, Lz and L2 . The forms of Lz and L2in spherical polar coordinates, Space quantization, Hydrogen atom problem, energyeigenvalues, Quantum numbers, Degeneracy, Explicit form of the ground state wavefunction, Probabilitydensity in the ground state.

Recommended books: 1. R. Eisberg and R. Resnick, Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles

(John Wiley and sons). 2. J. L. Powell and B. Crasemann, Quantum Mechanics (Oxford University Press, India).


3. P. T. Matthews, Introduction to Quantum Mechanics (TMH). 4. E. E. Anderson, Modern Physics and Quantum Mechanics (Macmillan). 5. D. J. Griffiths, Introduction to Quantum Mechanics (Pearson Education).

PH111 Thermodynamics

Unit - 1. Kinetic Theory of Gases: Ideal gas, basic assumptions of kinetic theory, pressure exerted by ideal gas, its relation with average kinetic energy; kinetic interpretation of temperature; ideal gas law; Maxwell’s distribution law both in terms of velocity and energy, average, root mean square and most probable speeds; direct and indirect evidence of Maxwell’s law (proof not required); degrees of freedom, equipartition of energy (detailed derivation not required); evaluation of Cp and Cv for gases with monatomic, diatomic, polyatomic molecules; limitation of kinetic theory in the interpretation of specific heat; finite size of molecules: collision probability, distribution of free paths and mean free path from Maxwell’s distribution.

Unit - 2. Transport phenomena: Non-equilibrium gas, property of non-equilibrium gas; viscosity, thermal conduction and diffusion in gases; dependence of transport-coefficients on temperature and pressure, Brownian motion: Einstein’s theory, Perrin’s work to determination of Avogadro number.

Unit - 3. Real Gases: Deviation from ideal gas as implied by Andrew’s and Amagat’s experiment; nature of intermolecular interaction, Van der-Waals equation of state, derivation (simple theory) and its comparison with experiment; critical constants, Boyle temperature, virial coefficients; reduced equation of state; law of corresponding state, virial theorem (statement only), derivation of ideal gas equation there from; Van der-Waals equation in powers of P and 1/V and implication. Brief survey of other equations of state.

Unit - 4. Conduction: Variable and steady state of heat flow, thermal conductivity, thermal receptivity, thermometric conductivity; thermal conductivity of a composite; Fourier’s equation for heat conduction – its solution for rectilinear and radial, spherical and cylindrical flow of heat; measurement of thermal conductivity for good and bad conductors.

Radiation and convection: Spectral emissive and absorptive powers, Kirchhoff’s law, blackbody radiation, energy density, radiation pressure; Stefan-Boltzmann law, Newton's law of cooling, Wien’s and Rayleigh-Jeans law; Planck’s law (no detailed derivation); solar temperature and radiation pyrometer; importance of convection in atmospheric physics, adiabatic lapse rate.

Unit - 5. Change of State and Production of low temperature: Equilibrium between phases, triple point, Gibbs’ phase rule (proof not required) and applications, First and Higher order phase transition, Erenfest criterion, Clausius and Clapeyron’s equation, variation of latent heat with temperature, Joule-Thomson effect, adiabatic expansion of gases, regenerative cooling and cascade cooling, liquification of gases, Production and measurement of low temperature, adiabatic demagnetization; second order phase transition, Nernst heat theorem and third law of thermodynamics.

Unit - 6. Radiation: The blackbody spectrum, Wien’s displacement law, Rayleigh-Jean’s law, Planck’s quantum theory of radiation.

Text: 1. Heat and Thermodynamics: K.W. Zeemansky. 2. G. W. Castellan, Physical Chemistry, 3rd Ed., Narosa Publishing. 3. P.A. Atkins, Physical Chemistry, 5th Ed, Oxford. 4. Thermal Physics: B.K. Agarwal. 5. Heat and Thermodynamics: Brij Lal and N. Subramanyam. 6. Heat and Thermodynamics: Dayal, Verma and Pandey.


PH114 Advanced Physics Lab – I

1. Determination of resistance per unit length and an unknown resistance using C. F. Bridge. 2. Construction of one ohm coil and comparison with standard one-ohm coil. 3. To study the force experienced by a current carrying conductor placed in a magnetic field

(Lorentz force) using a mechanical balance. 4. B-H curve and hysteresis loss. 5. To study series and parallel resonant L. C. R. circuit. 6. To determine the emf and internal resistance of a cell using a stretched wire potentiometer. 7. Determination of the temperature co-efficient of resistance of a material in the form of a coil

using a meter bridge. 8. Determination of boiling point of a liquid by platinum resistance thermometer. 9. Determination of thermal conductivity of a bad conductor using Lee’s disc method. 10. Determination of the melting point of a suitable solid by using a thermocouple. 11. Dielectric constant of insulating and ferroelectric materials at room and elevated

temperatures. 12. Determination of Stefan’s constant.

Third Year – Fifth Semester

PH115 Classical Mechanics

Unit - 1. System of particles, Constraints, Generalized coordinates, D'Alemberts principle and Lagrange's equation, Velocity dependent potential of electro-magnetic field. Calculus of Variation, Hamilton's principle, Lagrange's equation, Lagrangian for simple systems, Cyclic coordinates symmetries and conservation laws. Advantages of Lagrangian: electro-mechanical analogies, Lagrange's undetermined multipliers, Lagrange's equation for nonholonomic systems,

Unit - 2. Virial theorem, Principle of mechanical similarity. Legendre transformations and Hamilton's equations of motion, Hamiltonian for a charge particle in Electro-magnetic field, Cyclic coordinates and conservation laws, Poisson Brackets, Jacobi Identity, Canonical transformation. Hamilton-Jacobi theory, Action-Angle variables, related problems.

Unit - 3. Rigid Body Dynamics: Euler angles, finite and infinitesimal rotations, inertia tensor, motion of a heavy symmetric top rotating about a fixed point in the body under gravity.

Unit - 4. Small Oscillations:Condition of stability near equilibrium, the eigenvalue equation and principal axes transformation, frequencies of free vibrations and normal coordinates, vibration of molecules.

Recommended books: 1. Classical Mechanics: H. Goldstein. 2. Mechanics: L . D. Landau and E. M. Lifshitz 3. Introduction to Classical Mechanics: R. G. Takwale and Puranik. 4. Classical Mechanics of Particles and Rigid Bodies: K. C. Gupta. 5. Introduction to Classical Mechanics: N. C. Rana and P. Joag.


PH116 Electrodynamics

Unit - 1. Electrostatics. Conservation of charge. Point charge. Coulomb’s law. Superposition principle. Electric field and the corresponding scalar potential. Field and potential due to (a) single point charge (b) uniform linear, planar, and spherical charge distributions. Lines of force. Flux of electric field. Gauss’s theorem in integral and differential forms. Simple applications of Gauss’s theorem. Laplace’s equation. Uniqueness of its solution. Solution of Laplace’s equation for simple geometries (two infinite parallel surfaces: coaxial cylindrical surfaces maintained at different potentials). Poisson’s equation. Application to sphere with uniform charge density.

Unit - 2. Multipole expansion of the electrostatic scalar potential. The monopole, dipole and quadrupole terms. Force and torque between two dipoles. The linear quadrupole. Stability of charges. Earnshaw’s theorem (Statement and explanation).

Unit - 3. Conductors and mobile charges. Conductor in an electric field. Redistribution of charges on the surface of a conductor. Field near the surface of a conductor. Method of images. Applications to simple symmetric arrangements. Electrostatic coupling between conductors. Capacitance. Parallel plate, spherical, and cylindrical capacitors. Energy stored in electrostatic field.

Unit - 4. Dielectric in an electrostatic field. Polarization. Local field. Electric susceptibility. Volume and surface forces acting on a dielectric in an electric field E. Electric displacement vector D. Gauss’s law in presence of a dielectric. Conditions on D and E at the boundary. Field and potential due to a dielectric sphere in a uniform electric field. Energy density of a dielectric in an external electric field.

Unit - 5. Steady electric current. Current as moving charges. Equation of continuity. Ohm’s law. Simple microscopic picture of metallic conduction. Drift velocity. Current density. Electrical conductivity. Electromotive force. Resistance networks. Kirchoff’s laws. Wheatstone bridge (Detailed calculations on sensitivity etc. are not required). Kelvin’s double bridge.

Unit - 6. Oersted’s experiment. Ampere’s law. Force between current elements and between two infinitely long wires carrying currents. Magnetic induction B. Biot-Savart law. Divergence of B. Integral form of Ampere’s law. Simple applications. The vector potential and its properties. Calculation of B in terms of the vector potential (straight wire, circular coil, and solenoid). Magnetic dipole. Potential energy in a uniform magnetic field. Force on a dipole in an inhomogeneous magnetic field. Magnetic dipole-dipole interaction. Lorentz force. Motion of charged particles in a uniform magnetic field. Cyclotron frequency. Motion of charged particles in crossed electric and magnetic fields. Measurement of the charge e and the (e/m) ratio of electrons.

Unit - 7. Faraday’s law of electromagnetic induction in integral and differential forms. Motional emf and motional electric field. Self and mutual inductance. Self inductance of a long solenoid and solid cylindrical conductor. Galvanometers. Electromagnetic damping. Dead beat and ballistic galvanometers (solution of equation of motion may be assumed). Fluxmeter.

Unit - 8. Magnetic field in material media. Magnetic moment. Magnetization M. Magnetic field intensity H. Permeability and magnetic susceptibility. Dia-, para-, and ferromagnetism (brief elementary treatment). Hysterisis. B-H curve. Energy density in a magnetic field. Conditions on B and H at the boundary between two media.

Unit - 9. Growth and decay of currents in circuits with L and R. Oscillations in LC circuits. Charging and discharging of capacitors in CR and LCR circuits. Alternating current. AC circuit analysis. Use of complex numbers. Impedance and reactance. Currents in LR, CR, and LCR circuits with sinusoidal emf. Series and parallel resonance. Quality factor. Power consumed


in ac circuit. Power factor. Wattmeters. Rotating magnetic fields. AC and DC motors and generators. Transformer. Vector diagrams with and without load.

Unit - 10. Generalization of Ampere’s law. Displacement current. Maxwell’s equations in differential and integral forms. Empirical basis of the equations. Maxwell’s equations in material media. Boundary conditions. Vector and scalar potentials. Coulomb and Lorentz gauges. Field energy and field momentum. Poynting’s theorem. Poynting vector.

Unit - 11. Plane electromagnetic waves in isotropic dielectric media. Energy and momentum of electromagnetic waves. Intensity. Plane waves in conducting media. Skin effect. Reflection at a conducting surface. Polarization of electromagnetic waves. Reflection and refraction of plane waves at a plane interface between dielectrics. Fresnel’s relations. Polarization by reflection. Brewster angle.

Unit - 12. Scattering of radiation by a free charge. Thomson scattering cross-section (the formula for the time average of the power radiated per unit solid angle by a charged particle may be assumed). Scattering by a bound charge (assume the damping term). Rayleigh scattering cross-section. Blue of the sky. Elementary treatment of normal and anomalous dispersion. Cauchy’s formula.

Recommended books: 1. Introduction to Electrodynamics (3rd Edition): David J. Griffiths. 2. EM Waves and Fields: P. Lorrain and O. Corson. 3. I. E. Irodov, Basic Laws of Electromagnetism (Mir Publications). 4. B. B. Laud, Electromagnetics (Wiley Eastern). 5. J D Jackson, Classical Electrodynamics, (Wiley Eastern)

PH117 Mathematical Methods in Physics

Unit - 1. Vector algebra and calculus: Scalars and vectors. Unit vectors. Scalar and vector products. Physical applications. Products of three or more vectors. Reciprocal vector triads. Ordinary and partial derivative of vectors. Scalar and vector fields with examples. Coordinate transformation. Notion of invariance. Gradient of a scalar field. Directional derivative. Divergence and curl of a vector field and their physical significance. Solenoidal and irrotational vectors with examples. Conservative vector field and scalar potential.Vector integration. Line integral. Path independence. Exact differential. Surface integral. Flux of a vector field. Volume integral. Divergence theorem. Stokes’ theorem. Green’s theorem in the plane. Green’s second identity.Verification of the integral theorems in simple cases. (Proofs of the integral theorems are not required.). Orthogonal curvilinear coordinates. Unit vectors in curvilinear coordinate system. Arc length and volume element. The Jacobian and its properties. Cylindrical and spherical polar coordinates. The gradient, divergence, curl, and the Laplacian in cylindrical and spherical polar coordinates.

Unit - 2. The gamma function and its simple properties. Evaluation of gamma functions of half-integral arguments.

Unit - 3. Beta function. Relation between beta and gamma functions. Dirichlet’s integral.

Unit - 4. Ordinary differential equations (ODE). Degree and order of an ODE. Solution of second-order linear homogeneous and inhomogeneous ODE with constant coefficients. Complementary function and particular integral. Second order ODE with variable coefficients. Linear independence. Wronskian. Regular and irregular singular points. Integration in series of second order ODE. Indicial equation. General solution of second order equations when roots of the indicial equation are (a) distinct and do not differ by an integer, (b) distinct and differ by an integer, (c) equal. (Proofs of theorems are not required)


Unit - 5. Bessel’s differential equation. Series solution. Bessel functions of the first and second kinds. Recurrence relations involving Bessel functions of the first kind. Legendre’s differential equation. Legendre polynomials. Rodrigue’s formula. Generating function of Legendre polynomials. Recurrence relations involving Legendre polynomials. Orthogonality of Legendre polynomials.

Unit - 6. Partial differential equations. Hyperbolic, parabolic and elliptic differential equations. Solution of Laplace’s equation in Cartesian, spherical polar and cylindrical coordinates by the method of separation of variables. Boundary and initial value problems.

Unit - 7. Fourier series. Dirichlet conditions. Change of interval. Expansions of odd and ecen periodic functions. Halfrange series. Fourier analysis of typical waveforms. Parseval’s formula. Fourier transformation and its simple poroperties: elementary idea.

Unit - 8. Fourier and Laplace transforms. Inverse transforms. Covolution theorem. Solution of ordinary and partial differential equations by transform methods.

Unit - 9. Green’s functions for ordinary and partial differential equations of mathematical physics. Integral equations. Fredholm and volterra equations of the first and second kinds. Fredholm’s theory for non-singular kernel.

Unit - 10. Tensor analysis, Coordinate transformations, scalars, Covariant and Contravariant tensors. Addition, Subtraction, Outer product, Inner product and Contraction. Symmetric and antisymmetric tensors. Quotient law. Metric tensor. Conjugate tensor. Length and angle between vectors. Associated tensors. Raising and lowering of indices. The Christoffel symbols and their transformation laws. Covariant derivative of tensors.

Unit - 11. a) Functions of a complex variable. Brief review of the topics included in the honours syllabus : analytic functions, Cauchy-Riemann equations, integration in the Complex plane, Cauichy’s theorem, Cauchy’s integral formula. Liouville’s theorem. Moretra’s theorem. b) Proof of Taylor and Laurent expansions. Singular Points and their classification. Branch Point and branch Cut. Riemann sheets. Residue theorem. Application of residue theorem to the evaluation of definite integrals and the summation of infinite series. Integrals involving branch point singularity.

Unit - 12. Linear vector spaces, subspaces, Bases and dimension, Linear independence and orthogonality of vectors, Gram-Schmidt orthogonalisation procedure. Linear operators. Matrix representation. The algebra of matrices. Special matrices. Rank of a matrix. Elementary transformations. Elementary matrices. Equivalent matrices. Solution of linear equations. Linear transformations. Change of Basis. Eigenvalues and eigenvectors of matrices. The Cayley-Hamilton theorem. Diagonalisation of matrices. Bilinear and Quadratic forms. Principal axis transformation. Functions of matrices.

RecommendedBooks: 1. M. R. Spiegel (Schaum’s outline series) – Theory and Problems of Complex Variables. 2. G. Arfken (Academic Press) – Mathematical Methods for Physicists. 3. J. Mathews and R. I. Walker (Benjamin) – Mathematical Methods of Physics. 4. P. Dennery and A. Krzywicki (Harper and Row) – Mathematics for Physicists. 5. M. R. Spiegel, Vector Analysis (TMH). 6. M.C. Potter and J. Goldberg, Mathematical Methods (Prentice-Hall of India). 7. K. F. Riley, M. P. Hobson, and S. L. Bence, Mathematical Methods for Physics and Engineering

(Cambridge). 8. E. Kreyszig, Advanced Engineering Mathematics (Wiley Eastern). 9. W. Joshi (Wiley Esstern) – Matrices and Tensors


PH118 Material science and Technology

Unit - 1. Crystallography: Space lattices, Crystal systems and Bravais lattices, space group and point groups, Reciprocal lattice concept. Lattice Planes, Miller Indices, Study of crystal structure by diffraction methods, Bragg’s condition for crystal diffraction.

Unit - 2. Bonding and crystal imperfections: Classification of solids, Bonding in solids, Classification of imperfections, Point defect or imperfection, Line imperfection, Dislocation, Surface defect or Planar defect, Volume defect or Bulk defect, Stoichiometry, Non-stoichiometry and defect structures.

Unit - 3. Electron Theory of Solids: Electrical Conduction, Classification of conducting Materials, Classical Free Electron or Drude – Lorentz Theory of metals, Expression for Electrical Conductivity and Drift Velocity, Thermal Conductivity, Wiedemann-Franz Law, Verification of Ohm’s Law, Classical Free Electron Theory: Advantage and Drawbacks.

Unit - 4. Band Theory of Solids: Origin of energy-gap, Kronig-Penney model, Brillouin zone, Explanation of band-gap, Effective mass of an electron, Concept of hole, High resistivity materials. Solid solutions and two phase solids, Phase diagrams of Cu-Ni and other isomorphous alloy.

Unit - 5. Magnetic and Dielectric properties of materials: Magnetic parameters, Classification of Magnetic materials, Importance of Dipole moments in classification of magnetic materials, Origin of Ferromagnetism and hysteresis loop, Magnetic domains, Magnetostriction, Soft and Hard Magnetic Materials and their Applications. Magnetic anisotropy, Antiferro- and ferrimagnetism materials. Ferrites and its applications,Dielectrics: Types of polarization, Frequency and temperature dependence of polarization. dielectric loss, dielectric breakdown, uses of dielectric materials (capacitor and transformer), ferroelectricity, piezoelectricity and their applications.

Unit - 6. Semiconducting and Superconducting Materials: Conductivity of semiconductors, intrinsic and extrinsic semiconductors, n-type and p-type semiconductors, elemental and compound semiconductors, Direct and indirect band gap semiconductors, Hall effect, Variation of electrical conductivity withtemperature, Variation of Fermi level with temperature. Superconductivity, General properties of superconducting materials, Types of superconductors, Thermodynamic properties of superconductors, London equations, BCS theory, applications of supercoductors.

Unit - 7. Advancedceramics and composites materials: Their classification, structure, processing, properties and applications.

Unit - 8. Optical properties of materials.

Unit - 9. Nanophase materials: Basic principles of nanoscience and nanotechnology,Types of nanomaterials,Synthesis of Nanostructured Materials, Top-Down and Bottom-up Process, Nanotechnology and environment, Properties and possibleapplications to nanodevices

Recommended books: 1. V. Raghavan, Materials Science and Engineering, Prentice-Hall of India Private Limited (2003). 2. W.F. Smith, Principles of Materials Science and Engineering, McGraw Hill, New York (1994). 3. W.D.Callister, An Introduction to Materials Science and Engineering, John Wiley and Sons

(2007). 4. L.H. Van Vlack, Elements of Materials Science and Engineering, Addison Wisley, New York

(1985). 5. D. W. Richerson, Modern Ceramic Engineering.


Subject code: Humanities and Social Science (Industrial Management and Psychology)

PH120 Advanced Physics Lab – II

Third Year – Sixth Semester

PH121 Statistical Mechanics

Unit - 1. Scope and aim of statistical mechanics. Transition from thermodynamics to statistical mechanics. Review of the ideas of phase space, phase points, Ensemble, Density of phase points. Liouville’s equation and Liouville’s theorem.

Unit - 2. Stationary ensembles: Micro canonical, canonical and grand canonical ensembles. Partition function formulation. Fluctuation in energy and particle. Equilibrium properties of ideal systems: ideal gas, Harmonic oscillators, rigid rotators. Para magnetism, concept of negative temperature.

Unit - 3. Density matrix: Idea of quantum mechanical ensemble. Statistical and quantum mechanical approaches, Properties. Pure and Mixed states. Density matrix for stationary ensembles. Application to a free particle in a box, an electron in a magnetic field. Density matrix for a beam of spins ½ particles. Construction of the density matrix for different states (pure and mixture) and calculation of the polarization vector.

Unit - 4. Distribution functions. Bose-Einstein and Fermi-Dirac statistics. General equations of state for ideal quantum systems.

Unit - 5. Ideal quantum systems:

a. Properties of ideal Bose gas: Bose-Einstein condensation: Transition in liquid He4,

Superfluidity in He4. Photon gas: Planck’s radiation law. Phonon gas: Debye’s theory

of specific heat of solids.

b. Properties of ideal Fermi gas: Review of the thermal and electrical properties of an

ideal electron gas. Landau levels, Landau diamagnetism. White dwarf and Neutron

stars.

Strongly interacting systems: Ising model.Idea of exchange interaction and Heisenberg Hamiltonian. Ising Hamiltonian as a truncated Heisenberg Hamiltonian. Exact solution of one-dimensional Ising system (Matrix methods).Bragg-William’s approximation (Mean field theory) and the Bethe-Peierls approximation.

Phase transition: General remarks. Phase transition and critical phenomena. Critical indices. Landau’s order parameter theory of phase transition.

Fluctuations. Thermodynamic fluctuations. Spatial correlations in a fluid. Brownian motion: Einstein-Smoluchowski’s theory.

Recommended books: 1. R. K. Pathria, Statistical Mechanics 2. K. Huang, Introduction to Statistical Mechanics 3. Silvio R. A. Salinas, Introduction to Statistical Mechanics. 4. F. Reif, Fundamentals of Statistical and Thermal Physics. 5. Kadanoff, Statistical Mechanics. World Scientific. 6. R. Kubo, Statistical Mechanics. (Collection of problems)


PH122 Mathematical Physics - II

PH123 Quantum Mechanics – II

Unit - 1. Linear vector space – State space, Dirac notation and Representation of State Spaces, Concept of Kets, Bras and Operators, Expectation Values, Superposition Principle, Orthogonality, Completeness, Expansion of State Vector, Non commutating Observables, Uncertainty Relations, Commutation and Compatibility, Change of basis, Unitary operators. State function and its interpretation, Expectation Values, Expansion of a State Function.... and Superposition of states. Matrix Representation of State Vectors and operators, Continuous Basis. Relation between a State Vector and its Wave function. Solution of the Linear Harmonic Oscillator with Operator Method, Coherent State.

Unit - 2. Schrödinger equation and its applications-

a) In one dimensional consideration-

b) Particle in one-dimensional potential well (finite and infinite depth) and its energy states; Linear harmonic oscillator; Solutions of different one-dimensional barriers (finite and infinite width) and penetration problems.

c) In three dimensional consideration-

d) Free particle wave function; Motion of a charged particle in a spherically symmetric field; Angular momentum and the eigen functions; Energy states associated wave functions of Hydrogen atom; Expression of Bohr radius.

Approximation methods - Time-independent perturbation theory for non-degenerate and degenerate states. Applications: Anharmonic oscillator, Helium atom, Stark effect in hydrogen atom, Variational methods: Helium atom.

Generalised angular momentum- Infinitesimal rotation, Generator of rotation, Commutation rules, Matrix representation of angular momentum operators, Spin, Pauli spin matrices, Rotation of spin states, Coupling of two angular momentum operators, Clebsch Gordon co-efficients, Applications.

Symmetries- Symmetries, Invariance principle and Conservation laws, Space translation, Time translation, Space rotation, Irreducible spherical tensor operators, Wigner-Eckert theorem and its applications, Space inversion, Time reversal.

Approximation methods- Time-independent perturbation theory for non-degenerate and degenerate states, Application: anharmonic oscillator, Helium atom, Stark effect in hydrogen atom, Variational methods: Helium atom. WKB method; Connection formulae. Time-dependent perturbation theory; Harmonic perturbation; Fermi’s golden rule. Sudden approximation.

Scattering theory- Scattering of a particle by a fixed centre of force. Scattering amplitude differential and total cross sections. Method of partial waves. Phase shifts. Optical theorem. Scattering by a hard sphere and potential well. Integral equation for potential scattering. Green’s function. Born approximation. Yukawa and Coulomb potential.

The Klein Gordon equation. Covariant notations. Negative energy and negative probability density.

The Dirac equation. Properties of the Dirac matrices. The Dirac particle in an external electromagnetic field. The non-relativistic limit of the Dirac equation and the magnetic moment of the electron.

Covariant form of the Dirac equation. Lorentz covariance of the Dirac equation. Boost as hyper rotation Boost, rotation, parity and time reversal operation on the Dirac wave function.


Conjugate Dirac spinor and its Lorentz transformation. The γ5 matrix and its properties. Bilinear covariants and their properties.

Boosting the wave function from the rest frame. Plane wave solutions of the Dirac equation and their properties. Energy and spin projection operators.

Dirac’s hole theory and charge conjugation. Feynman-Stuckelberg interpretation of antiparticles.

Foldy-Wuthuysen transformations: Free particle transformation. The general transformation.

Recommended books: 1. Relativistic Quantum Mechanics – J.D.Bjorken and S.D.Drell, McGraw-Hill, New York (1964). 2. Advanced Quantum Mechanics – J.J.Sakurai, Addison-Wesley Publishing Company, Inc.

(1967). 3. Relativistic Quantum Mechanics and Quantum Fields – T-Y Wu and W-Y Pauchy Hwang, Allied

Publishers Limited (2001). 4. ‘Quantum Physics’ by Robert Eisberg and Robert Resnick (John Wiley and sons). 5. ‘Quantum Theory’ by D. Bohm (Prentice-Hall). 6. ‘Quantum Mechanics: Theory and Applications’ by A. K. Ghatak and S. Lokanathan

(Macmillan India Ltd.). 7. ‘Quantum Mechanics’ by L. I. Schiff (McGraw-Hill Book, New York). 8. ‘Quantum Mechanics’ by Cohen and Tanandji.

PH124 Electronics

Unit - 1. Physics of Vacuum Tube Devices: Thermionic emission. Richardson’s equation (statement and explanation only). Fermi level and work function of solids. Vacuum diodes and triodes-- their volt ampere characteristics. Qualitative explanation of characteristics. Triode parameters (μ , rp, gm). Functional structure and operation of a Cathode Ray Oscilloscope.

Unit - 2. Physics of Semiconductors: Classification of materials based on electrical conductivity. Metals, insulators and semiconductors. Eenergy band concept. Band diagram. Concept of hole. Intrinsic and extrinsic (impurity) semiconductors. Elemental and compound semiconductors. Law of mass action. Majority and minority carrier densities. Effective mass. Mobility of holes and electrons. Direct and indirect band gap semiconductors. Importance of silicon.

Unit - 3. Solid State Two Electrode Device: P-N junction diode, depletion width and potential barrier, junction capacitance, I-V characteristics, Rectifier, ripple factors, filter circuits, efficiency and percentage regulation, LED, photodiode. Transistor circuits, Input, Output characteristics and CB and CE modes, Early effect, α and β parameters; DC load line, operating point, biasing and bias-stabilization circuits: Transistor as an amplifier (CE mode) and frequency response.

Unit - 4. Electronic Devices: Field effect transistors, I-V Characteristics of JFET and MOSFET, FET biasing, FET as an amplifier.Silicon controlled rectifier, I-V Characteristics, phase controlled rectifier. Unijunction transistor, I-VCharacteristics , relaxation oscillator. Operational amplifier (block diagram),characteristics parameters, inverting and noninverting amplifier. Cathode ray oscilloscope, working of CRT, deflection sensitivity, time base and waveform display.

Unit - 5. Analog Circuits: Hybrid parameter model of transistor, analysis of transistor amplifier (with and without RS and RL)using h- parameters, simplified hybrid model, brief idea about hybrid π model.Single stage amplifier in CE,CB and CC modes. RC coupled CE amplifier and its frequency response,tuned voltage amplifier. Power amplifier classification, distortion and efficiency, push pull amplifier,Feedback in amplifiers, positive


and negative feedback, effect of negative feedback on thecharacteristics of different types of amplifiers, voltage and current series feedback circuits.Barkhausen criterion of oscillations, tuned collector oscillator, Hartley / Colpitt oscillator, phase shiftoscillator and multiuvibrators.Need and types of modulation, amplitude modulation, analysis of A.M. wave, modulator anddemodulator circuits.

Unit - 6. Digital Electronics: Introduction to various logic families; Combinational Circuits, adders, subtracters, multiplexers, demultiplexers, encoders, decoders; Sequential circuits, flip-flops, RS, JK, Master Slaves, T and D Flip-Flops, controlled registers, shift registers, synchronous and asynchronous counters, controlled counters, up/down counters, ring counter Memories ROM, PROM, EROM, EEPROM, RAM static and dynamic.

Unit - 7. 8-BIT microprocessor: 8085 Architecture and Memory interfacing, interfacing I/O devices, Instruction set, Addressing Modes, Assembly language programming, counters and time delays, interrupts, timing diagram, Microprocessor applications; Serial and parallel I/O (8251 and 8255); Programmable interrupt controller (8259), keyboard display controller (8279).

Unit - 8. Communication: Introduction to communication systems, amplitude modulation, radio transmitter and receiver, angle modulation, pulse width modulation.

Recommended books: 1. Electronics Fundamental and Application: Chattopadhyay and Rakshit. 2. Electronic Devices and Circuits: J. Millman and C. Halkias. 3. A Text Book of Electronics: Kakani and Bhandari. 4. Electronic Devices: T.L. Floyd. 5. Banerjee and Streetman, Solid State Electronic Device (Pearson Education). 6. Digital principles and applications By Donald P. Leach and Albert Paul Malvino, (Glencoe,

1995). 7. Digital Fundamentals, 3rd Edition by Thomas L. Floyd (Universal Book Stall, India, 1998). 8. Digital Electronics by R.P. Jain, 9. Operational Amplifiers and Linear Integrated Circuits, 4th Edition by Robert F Coughlin and

Frederick F Driscoll (P.H.I. 1992) 10. Op-Amps and Linear Integrated Circuits by R. A. Gayakwad (Pearson Education Asia, 2000) 11. Digital Electronics, by Malvino

PH125 Condensed Matter Physics

Unit - 1. Structure and Symmetry: Elements of external symmetry of crystals, space lattice, Bravais lattices, Miller indices for directionand planes, Common crystal structures: NaCl, CsCl, ZnS and Diamond, Close packed structures,Quasicrystals.Bonding in solids, Lennard Jones potential, concept of cohesive energy, covalent, van der Waals, ionic and metallic bonding.Diffraction of x-rays, Laue equations and Braggs law, reciprocal lattice, Brillouin Zones and Ewald construction, atomic scattering and structure factors.

Unit - 2. Lattice Vibrations: Vibrational modes of continuous medium, Debye's theory of specific heat, Vibrations of onedimensional monoatomic and diatomic chain, Phonons, Density of states.

Unit - 3. Electronic Properties: Free electron gas, Electrons in periodic potential, Kronig Penny model, Bloch theorem, energy bands,metals, insulators and semiconductors, Motion of electron in electric and magnetic fields, Hall Effect,Fermi surface.

Unit - 4. Magnetic Properties : Dia-, Para-and Ferromagnetism, origin of magnetism, Langevin's theory of paramagnetism, Weiss Molecular theory, Ferromagnetic ordering, spin waves, magnons, ferromagnetic domains.

Recommended books:


1. Crystalloraphy for Solid State Physics: A. R. Verma and O.N. Srivastava. 2. Introduction to Solids: Azaroff. 3. Solids State Physics: Kittel. 4. Solids State Physics: Ashcroft and Mermin. 5. Solids State Physics: Decker. 6. Solids State Physics: S.O.Pillai.

PH126 Advanced Physics Lab – III

1. Hall Effect: To determine the Hall coefficient, carrier concentration and mobility. 2. Determination of compound formation, Miller indices and grain size from XRD using PCPDF. 3. Y of a metallic rod using Searle’s optical interference Newton’s ring 4. Analysis of untreated and treated specimens using Optical Microscope 5. Studies on LED and LED based circuits. 6. Determination of e/m ratio for electron by using a cathode ray tube and a pair of bar

magnets. 7. To study the transistor characteristics in CE mode transistor and to find α. β. 8. To study the frequency response of a CE transistor amplifier. 9. To determine the band gap energy of a given semiconductor by four-probe method. 10. Design of Zener regulated power supply. 11. Solar cell experiment.

PH128 Physics Lab – VI (Electronics Lab.)

1. Thevenin’s theorem, Norton’s theorem, maximum power transfer theorem 2. Attenuator and filter circuits LP, HP, BP, BR 3. Diode and Zener characteristics 4. BJT, FET and MOSFET characteristics 5. SCR characteristics 6. Logic gates characteristics and truth table verification 7. OP-Amp 8. Adder, subtractor, 9. Multiplexer, demultiplexer 10. Encoder decoder 11. Flip-flops 12. Shift registers 13. Counters (async and sync)

Fourth Year – Seventh Semester

PH131 Computational Physics

1. Jacobi Method of Matrix Diagonalization 2. Solution of transcendental or polynomial equations by the Newton Raphson method 3. Linear curve fitting and calculation of linear correlation coefficient 4. Matrix summation, subtraction and multiplication 5. Matrix inversion and solution of simultaneous equation 6. Lagrange interpolation based on given input data 7. Numerical integration using the Simpson’s method 8. Numerical integrationg using the Gaussian quadrature method


9. Solution of first order differential equations using the Rung-Kutta method 10. Numerical first order differentiation of a given function 11. Fast Fourier Transform 12. Monte Carlo integration 13. Use of a package for data generation and graph plotting. 14. Test of randomness for random numbers generators

PH133 Nuclear Physics

Unit - 1. Properties of Nucleus:

Charge distribution, spin and parity, nuclear angular momentum, nuclear magnetic dipole moment, stability of nuclei, nature of the nuclear force.

Unit - 2. Nuclear Models:

Liquid drop model, magic number, shell model and Collective model.

Unit - 3. Nuclear Fission and Fusion:

Fission: energy released in fission, nuclear reactors, condition for criticality, typical layout of nuclear reactor, and Fusion: energy released in fusion, Lawson’s criterion for fusion, source of Stellar energy (carbon-nitrogen and proton-proton cycle).

Unit - 4. Accelerators:

Motion of charged particle in electric and magnetic field, Van de Graff, Cyclotron, Linear accelerators and neutron generator

Unit - 5. Classification of particles:

Elementary particles and their numbers (charge, spin, parity, isospin, strangeness, etc.), Gellman-Nishijima formula, Fermions-Bosons, Leptons and Hadrons, Mesons and Baryons, C, P, T invariance, Quark model.

Text Book: 1. Concepts of Nuclear Physics, B. L. Cohen

References: 1. Nuclear Physics, R. R. Roy and B. P. Nigam 2. Subatomic Physics, H. Frauenfelder and E. Henley, Printice Hall, 1974. 3. Concepts of Particle Physics, Gottfried and Weisskoff, Oxford, 1986.

PH134 Atomic and Molecular Spectroscopy

Unit - 1. General discussion in Hydrogen spectra, Hydrogen-like systems, Spectra of monovalent atoms, quantum defect, penetrating and non-penetrating orbits, introduction to electron spin, spin-orbit interaction and fine structure, relativistic correction to spectra of hydrogen atom, Lamb shift, effect of magnetic field on the above spectra, Zeeman and Paschen-Back effect.

Unit - 2. Spectra of divalent atoms: Singlet and triplet states of divalent atoms, L-S and j-j coupling, branching rule, magnetic field effects, Breit’s scheme, Spectra of Multi-valent atoms ideas only; complex spectra, equivalent electrons and Pauli exclusion principle.

Unit - 3. Hyperfine structure in spectra of monovalent atoms, origin of X-rays spectra, screening constants, fine structure of X-ray levels, spin-relativity and screening doublet-laws, non-diagram lines, Auger effect.


Unit - 4. Lasers in Spectroscopy: Broadening of spectral lines, Doppler-free spectroscopy, excitation spectroscopy, ionization spectroscopy, Tera Hertz spectroscopy with innovative applications.

Unit - 5. Born-Oppenheimer approximation and separation of electronic and nuclear motions in molecules. Band structures of molecular spectra.

Unit - 6. Microwave and far infrared spectroscopy: Energy levels of diatomic molecules under rigid rotator and non-rigid rotator models. Selection rules. Spectral structure. Structure determination. Isotope effect. Rotational spectra of polyatomic molecules. Stark effect.

Unit - 7. Infrared spectra: Energy levels of diatomic molecules under simple harmonic and anharmonic (no deduction necessary for this one) models. Selection rules and spectral structures. Morse potential energy curves. Dissociation energies. Isotope effect. Rotational – vibrational coupling. Parallel and perpendicular modes. Symmetry properties of molecular wave functions and nuclear spins.

Unit - 8. Raman spectroscopy. Rotational, Vibrational, Rotational-Vibrational Raman spectra. Stokes and anti stokes Raman lines. Selection Rules. Spectral structures. Nuclear spin and its effect on Raman spectra.

Unit - 9. Vibrational spectra of poly atomic molecules. Normal modes. Selection rules for Raman and infrared spectra. Complementarity of Raman and infrared specra. Normal modes of CO

2 molecule. Normal modes of other simple triatomic molecules.

Unit - 10. Electronic spectra of diatomic molecules:

(a) Vibrational band structure. Progressions and sequences. Isotope shifts. Deslandres tables. Molecular constants in the ground and excited electronic states and crude idea of molecular bonding.

(b) Rotational structure of electronic spectra. P-, Q- and R- branches. Band head formation and shading of bands.

(c) Intensity distribution in the vibrational structure of electronic spectra and Franck-Condon principle.

(d) Hund’s coupling. (e) Experimental determination of dissociation energy.

Hydrogen molecule ion and molecular orbitals. Valence Bond approach in hydrogen molecule. Coulomb and exchange integrals. Electronic structures of simple molecules. Chemical bonding. Hybridizations.

Basic aspects of photo physical processes: radiative and non-radiative transitions; fluorescence and phosphorescence; Kasha’s rules. Nuclear Magnetic resonance spectroscopy. Electron spin resonance spectroscopy. Fourier transform spectroscopy. Photo acoustic spectroscopy. Photo electron spectroscopy. Mossbauer spectroscopy.

Recommended books: 1. Introduction of atomic spectroscopy: White 2. Laser Spectroscopy: Allan Corney 3. G. Herzberg. ‘Molecular Spectroscopy (Diatomic Molecules)’ Van-Nostrand. 4. G. M. Barrow. ‘Molecular Spectroscopy’. McGraw-Hill. 5. J.Michael Hollas. ‘ Modern spectroscopy’. John-Wiley and sons. 6. C. L. Banwell and E. M. McCash. ‘Fundamentals of Molecular Spectroscopy’ Tata- McGraw-

Hill.. 7. G.Aruldhas ‘Molecular Spectroscopy’. 8. Bransden and Joachin. ‘Atoms and Molecules’


PH135 Modern Optics

Unit - 1. Geometrical Optics: Fermat’s principle and its applications: Fermat’s principle and its application to reflection and refraction at plane and spherical surfaces. Magnification: Different magnifications, Helmholtz-Lagrange Law. Cardinal points of optical systems: Paraxial approximation, introduction to matrix method in paraxial optics - simple applications like the evaluation of cardinal points and lens equations, Combination of lenses and equivalent lens. Aberrations: Qualitative discussions of aberrations, Dispersive power of prisms, Chromatic aberration and achromatic combination of lenses. Eye pieces: Ramsdan and Huygen eyepieces.

Unit - 2. Physical Optics: Interference: Conditions for sustained interference, Theory of interference, Two-Beam Interference, Interference in parallel and wedge shaped films, Achromatic fringes, Color of thin films. Newton’s rings and Michelson interferometer and their applications. Multiple beam interference in parallel film and Fabry-Perot interferometer. Diffraction: Fresnel’s diffraction, Zone plate, diffraction due to straight edge. Fraunhoffer diffraction due to single and double slits, plane transmission grating and its resolving power. Polarization : Polarization of light, Malus's law, polarization by reflection, Brewster's law, Analysis of linearly and circularly polarized light, Polarization by double refraction and Huygens's theory, Nicol prism, Retardation plates, Optical activity and Fresnel’s theory, Bi-quartz polarimeter.

Unit - 3. Lasers and Holography:Lasers: Einstein coefficients, Threshold condition for LASER action, Rate equation for three level laser system, Characteristics of laser radiation. He-Ne and Nd-YAG Laser. Holography: Principle of holography, recording and reconstruction method and its theory as interference between two plane waves, Applications of Holography.

Unit - 4. Optoelectronics: Overview of Optical Fibers, Theory of Optical Waveguides, Photo Detector, Fiber Optics Sensors.

Recommended books: 1. Physical Optics: B. K. Mathur and T. P. Pandya. 2. A textbook of Optics: N. Subrahmanyam, Brijlal and M. N. Avadhanulu. 3. Geometrical and Physical Optics: Longhurst. 4. Introduction to Modern Optics: G. R. Fowels. 5. Optics: P. K. Srivastav.

PH138 Advanced Physics Lab – VI

1. Two-probe DC conductivity and carrier density evaluation of a semiconductor. 2. Two-probe DC conductivity and carrier density evaluation of a pellet prepared through cold

pressing. 3. Preparation of thin film by chemical deposition technique and determination of film

thickness by fiber optic spectrophotometer. 4. Determination of band gap of a semiconductor sample using UV-VIS spectroscopy. 5. Variation of grain size and porosity of sintered/thin film specimens sintered at different

temperatures by optical microscope. 6. Measurement of variation of microhardness of sintered specimens with sintering

temperatures. 7. Introduction to Vacuum Science and Techniques- Construction, working, pumping speed of

rotary pump and diffusion pumps.


Fourth Year – Eighth Semester

PH141 Particle physics

Unit - 1. Elementary particles and their numbers (charge, spin, parity, isospin, strangeness, etc.), Gellman-Nishijima formula, Fermions-Bosons, Leptons and Hadrons, Mesons and Baryons, C, P, T invariance, Quark model.

Unit - 2. Particle Physics: Natural Units, Evidence for four fundamental interactions, Leptons and hadrons, Historical introduction to the particle zoo, Introduction to cross sections and decay rates, Particle accelerators and detectors, Invariance principles and conservation laws, Experimental tests of parity, Charge conjugation, Time reversal and CP, Isospin, Strangeness.

Text Book: 1. Concepts of Nuclear Physics, B. L. Cohen

References: 1. Nuclear Physics, R. R. Roy and B. P. Nigam 2. Subatomic Physics, H. Frauenfelder and E. Henley, Printice Hall, 1974. 3. Concepts of Particle Physics, Gottfried and Weisskoff, Oxford, 1986. 4. I. Kaplan, Nuclear Physics (Narosa) 5. K. S. Krane, Introduction to Nuclear Physics (Wiley) 6. D. H. Perkins, Introduction to High Energy Physics (Cambridge University Press)

PH142 Modern Analytical Techniques

Unit - 1. Infrared Spectroscopy: Introduction. Identification of functional groups, hydrogen bonding etc., metal ligand vibrations. (2 Lectures)

Unit - 2. Nuclear Magnetic Resonance Spectroscopy: Introduction – magnetic field and chemical shifts, coupling constants in 1H and 13C NMR spectroscopy. 2D NMR spectroscopy techniques - COSY, NOESY, NOE, HMBC, HSQC and application in the structural determination of complex organic systems including conformational analysis. (11 Lectures)

Unit - 3. Ultraviolet Spectroscopy: Introduction. Studies of conjugated and extended conjugated systems etc. Woodward rules. Electronic spectra of transition metal complexes.

(2 Lectures)

Unit - 4. Mass Spectrometry: Basic concepts. Fragmentation and rearrangements (including McLafferty rearrangement) of different classes of organic molecules. Isotope effects etc.

(2 Lectures)

Unit - 5. Structural elucidation by joint application of UV, IR, NMR and mass spectrometry.

(4 Lectures)

Unit - 6. Electron Spin Resonance Spectroscopy:A brief review of theory. Analysis of ESR spectra of systems in liquid phase, radicals containing single set, multiple sets of protons, triplet ground states. Transition metal ions, rare earth ions, ion in solid state. Double resonance stechniques: ENDOR in liquid solution, ENDOR in powers and non-oriented solids. (6 Lectures)

Unit - 7. Mossbauer Spectroscopy: Basic physical concepts, spectral line shape, isomer shift, quadrupole splitting, magnetic hyperfine interaction. Interpretation of Mossbauer parameters of 57Fe, 110Sn. (2 Lectures)

Unit - 8. Magnetism: Introduction to Magnetism. Origin of diamagnetism. paramagnetism: van Vleck formula and its approximated forms, Curie law. Magnetic susceptibility, orbital


quenching and spin-only moment. Magnetic exchange interactions in coordination compounds: ferrimagnetism and antiferromagnetism. Bulk magnetic properties and ferromagnetism. Molecule-based magnetic materials: organic magnets and single molecule magnets. (5 Lectures)

Unit - 9. Atomic Absorption Spectroscopy (AAS) and Atomic Emission Spectroscopy (AES) – Basic principles and application. (6 Lectures)

Unit - 10. TEM, HRTEM, XRD, and SPM.

Text Books: 1. Pavia, D. L., Lampman, G. M., Kriz, G. S., Introduction to Spectroscopy, 3rd Ed. 2. Friebolin, H., Basic One- and Two-Dimensional NMR Spectroscopy, VCH, 1991. 3. Williams, D. H., Fleming, I., Spectroscopic Methods in Organic Chemistry, 4th ed., 1988. 4. John A., Bolton, J. R., Wertz, J. E, Electron Paramagnetic Resonance, Elementary Theory and

Practical Applications, Wiley-Interscience, New York, (1994). 5. Silverstein, R.M., Bassler, G.C., Morrill, T.C. Spectrometric Identification of Organic

Compounds, John Wiley and Sons, New York, 5th Ed. 1991. 6. McLafferty, F. W., Interpretation of Mass Spectra, 1980.

PH143 Material Synthesis: Quantum Dots to Bulk Crystals

L-T-P-Cr: 3-0-0-3

Unit - 1. Crystallography; Surface and Interfaces, Thermodynamics, Kinetics, and Mechanism of Nucleation and Growth of Crystals; Application to growth from solution, melt and vapours (Chemical vapour deposition and Physical vapour deposition methods); Stress effects in film growth.

Unit - 2. Materials synthesis: Sol-gel method, co-precipitation, solid state sintering technique, citrate precursor method, combustion method, spray pyrolysis, Float zone method, sputtering, Molecular Beam Epitaxy, spin coating, PLD, ALD,

PH190 Seminar and Review Works

PH149 Physics Lab – VIII

1. Determination of Miller indices and lattice parameter of an unknown powder material by X-ray diffraction.

2. Phase identification of an unknown sample by x-ray diffraction. 3. Determination of particle size and lattice strain of an unknown powder specimen applying

marq2 software and Scherrer equation. 4. Preparation of nanocrystalline powder specimen by ball milling: analysis of their x-ray

spectra and particle size estimation by Scherrer formula. 5. Preparation of nanocrystalline powder specimen by chemical route: analysis of their x-ray

spectra and particle size estimation by scherrer formula. 6. Study of porosity and grain size of thin film and powder sample by SEM.

Fifth Year – Ninth Semester

PH150 Synthesis of Functional Materials

Unit - 1. Methods of crystal growth: Solution methods, Melt methods, Homogeneous nucleation and heterogeneous nucleation, Energy of formation of a nucleus.


Unit - 2. Preparation of Amorphous Materials: Introduction to amorphous materials and conducting mechanism, Melt Quenching technique, Thermal Evaporation method, Ball milling, Electrodeposition, Sputtering, Glow-discharge decomposition. Shear amorphization.

Unit - 3. Thin film and epitaxial growth: Thermal Evaporation method, Sputtering, CVD, LPCVD, Spin Coating, Molecular beam epitaxy.

Unit - 4. Ceramic material preparation: Introduction to ceramic materials, properties, preparation; Recrystalization and Grain Growth, solid state sintering, sintering with reactive liquid, pressure sintering.Synthesis of Nano-Scale ceramics powder.

Unit - 5. Preparation of Nanomaterials: Sol gel technique, Chemical Vapor Deposition, LPCVD, plasma arc discharge, sputtering, evaporation, Pulsed laser deposition, electrodeposition.

Unit - 6. Preparation of Conducting Polymers:

Unit - 7. Conducting polymer, Properties, Conduction mechanism, Preparation; Chemical Oxidation polymerization, Plasma polymerisation.

References: 1. Essentials of Crystallography, M. A. Wahab, Narosa, New Delhi 2. Introduction to Ceramics, 2nd Ed. W. D. Kingery, H. K. Bowen and D. R. Uhlmann John Wiley

and Sons, Singapore, 1991. 3. Ceramic Processing, M. N. Rahaman, CRC Press, 2007. 4. Introduction to the Principles of Ceramic Processing, J. S. Reed 2nd Ed., John Wiley and Sons,

1995. 5. Non-Crystalline Semiconductors, Device and Mott. 6. Amorphous Semiconductors, Richard and Zallen. 7. Handbook of Conducting Polymers, T.A Skotheim and J.R. Reynolds 8. Nanomaterials: Synthesis; properties and applications, A.S. Edelstein and R.C. Commarata

PH191 Seminar and Comprehensive Viva - I

PH192 Thesis (To be contd...)

Fifth Year – Tenth Semester

PH193 Seminar and Comprehensive Viva

PH194 Thesis

Departmental Electives

PH151 Smart Materials

Unit - 1. Unit-I

Unit - 2. Introduction: Smart materials, sensors and actuators, PiezoElectric Materials, Multiferroics Materials, Types of Multiferriocs Materials, requirement of Multiferrioc Materials, Applications of PiezoElectric and Multiferrioc Materials, Magneto Electric Coupling.


Unit - 3. Unit-II

Unit - 4. Piezoelectric effect in Ceramic, Piezoelectricity, Pyroelecticity and Polarity, Ferroelectricity, Antiferroelectricity, Electrostriction, Symmetry and Equations of State of the Piezoelectric effect in Ceramics, Measurement techniques, Scope of Measurement, Dielectric Measurement, Low field Dielectric Measurement, High field Dielectric Measurement, Ageing, Piezoelectric Measurements, Ferroelectric Polarization, The Perovskite Structure, Curie Temperature.

Unit - 5. Unit-III

Unit - 6. Basic concepts of Magnetism, Magnetic Hysterics, Magnetic Measurements, Zero field cooling (ZFC) and field cooling (FC), Magnetization versus temperature, curie temperature, AC susceptibility Measurements, Magneto Electric coupling Measurement, Mean field Theory, Arott Plot.

Unit - 7. Unit-IV

Unit - 8. Impedance spectroscopy, Dielectric Spectroscopy, Relaxation Phenomenon in solids, Equivalent circuits, Cole-Cole plots, Vogel-Fulcher Law, Relaxor Materials, Conduction Phenomenon, Universal, Jonscher’s Law.

References: 1. Piezoelectric Ceramics by Bernand Jaffe, William R. Cook and Hans Jaffe, Cleveland, Ohio,

USA. 2. Introduction to the Magnetic Materials by B.D. Culity.

PH152 Nanotechnology

Unit - 1. Fundamentals of nanomaterials and nanostructures, Introduction to Nanotechnology & Nanomaterials, Nanoscale, Effect of Nanoscale on Material Properties: Thermal, Mechanical, Electrical, Magnetic and Optical Properties.

New Behaviour: Size confinement, Interfacial Phenomena, Surface to Volume Ratio, Surface Tension, Quantum Mechanics (Importance of Nanomaterials & its effect on Bulk Properties, Nanomaterials.

Synthesis of nanoparticles, nanoclusters, nanocrystals; top‐up approach and bottom‐up approach, Self‐Assembly.

Properties of Metal Nanoclusters, Semiconducting Nanoparticles, Rare Gas and Molecular Clusters and Nanotubes.

Nanostructured Materials: Properties and Applications of Nanocrystals, Nanoparticles (Emphasis on Surface to Volume Ratio, Surface Tension, Surface Energy), Nanowires, Nanotubes, Oxide Nanostructures, Nanorods, Biomolecules, Nanostructured Polymers, Nanostructured Coatings & Nanocatalist.

Introduction to Nanomaterials Fabrication Techniques: Top-Down Process, Bottom-Up Process & Self Assembly.

Characterization of nanomaterials and nanostructures: structure, particle size, distribution.

Introduction to Nanomaterials Characterization Methods: AFM, Scanning Probe Microscopy, Nanoindentation, Raman Spectroscopy, XPS & FTIR.

Applications of nanotechnology in Semiconductor devices, Energy, Sensors, Coatings.

Applications of Nanomaterials: Structural and Functional Applications, Electronics Applications & Biological Applications.


Main References: 1. Introduction to Nanotechnology, C. P. Poole and F. J. Owens Pub Wiley and Sons, 2006 2. Nanostructures and Nanomaterials, Synthesis Properties and Applicatios, G. Cao, Imperial

Press 2006 3. Springer Handbook of Nanotechnology, Bharat Bhusan, 2004.

PH153 Synthesis and Characterization of Functional materials

Unit - 1. Introduction to perovskite/ferrite compounds.

Unit - 2. Phase formation: Cation combinations, Cation mis-match, possible noble compositions.

Unit - 3. Crystal structure.

Unit - 4. Electronic properties: electronic structure, electrical transport properties, halfmetals and magnetoresistance, dielectrics and ferroelectrics, superconductivity, thermoelectric properties, electro- and photocatalytic properties.

Unit - 5. Magnetic properties: basic magnetic properties, dia/para/ferro/antiferro/ferrimagnetism multiferroics.

PH154 Material characterization Techniques

Unit - 1. Introduction: Physical and chemical properties. Necessity of characterization.

a) Macroscopic properties: Optical. Electrical, dielectric, magnetic, mechanical b) Microscopic properties – chemical structure, composition, surface characterization.

Probing bulk and nano-structure – XRD, TEM, HRTEM, Neutron scattering.

Surface structure and topography – SEM, STM, LEED, AFM.

Microstructure – UV-VIS, Raman, FTIR, Optical microscopy, small angle scattering.

Phase changes, crystalline and amorphous fractions – DSC.

Thermo-gravimetric methods – TGA, DTA.

Mechanical properties: Elastic properties, strength measurements in bulk and thin films, nano-indentation, Physics of fracture – Griffith’s theory of brittle fracture, ductile fracture, length scale issues and size effects.

References: 1. Woodruff and Delchar : Experimental Techniques of Surface Science 2. Ashcroft and Mermin : Solid State Physics 3. S. R. Elliot : Amorphous Materials 4. L.C. Feldman and J.W. Mayer : Fundamentals of Surfaces and Thin Films Analysis 5. M.M. Woolfson : An Introduction of X-ray Crystallography 6. W.K. Chu : Rutherford Backscattering Spectrometry

PH155 Ion Beam Patterning and Nano-bio Technology

Unit - 1. Ion Beam induced Nano scale patterning: Growth Techniques of Nanomaterials, Lithograpahic and Nonlithograpahic techniques, Sputtering and film deposition in glow discharge, DC sputtering technique. Thermal evaporation technique, E-beam evaporation, Chemical Vapour deposition(CVD), Synthesis of carbon nano-fibres and multi-walled carbon nanotubes, Pulsed Laser Deposition, Molecular beam Epitoxy, Sol-Gel Techniuqe (No chemistry required), Synthesis of nanowires/rods, Electrodeposition, Chemical bath


deposition, Ion beam deposition system, Vapor-Liquid –Solid (VLS) method of nanowires. Introduction to thin films, Technology as a drive and vice versa; Structure, defects, thermodynamics of materials, mechanical kinetics and nucleation; grain growth and thin film morphology; Basics of Vacuum Science and Technology, vacuum pumps and systems; vacuum gauges; oil free pumping; aspects of chamber design from thin film growth perspectives;

Unit - 2. Nano-Bio Interaction with sputtered surfaces, DNA compaction, DNA hybridization, Compaction, zipping and unzipping.

Unit - 3. Graphene energy storage,

Unit - 4. Solar cell

Text Books: 1. Materials Science of Thin Films Deposition and Structure, Milton Ohring. 2. Thin Film Deposition: Principles and Practice, Donald Smith. 3. DNA dynamics, compaction- Yoshikawa 4. Sputtering Technique – J B Mathias.

PH156 Quantum information, computation and Cryptography

Unit - 1. Formal Structure of Quantum Mechanics

i) States, Observables and Measurement ii) Superposition Principle, Uncertainty Principle iii) Completely positive trace preserving (CPTP) map iv) Kraus Operator and Positive Operator Valued Measure(POVM) [4 Lectures]

Entanglement

i) Multipartite states and tensor product ii) Entangled states and correlations. iii) EPR paradox iv) Hidden variables and Bell inequalities [4 Lectures]

Introduction to quantum information

i) Basics of information theory – probability, Bayes rule ii) von Neumann and Shannon Entropy iii) From bits to qubits iv) The Pauli matrices and Bloch sphere

v) Entanglements as a resource: Superdense coding, Teleportation and Swapping of entanglement [8 Lectures]

Quantum Computation

i) Shor’s algorithm ii) Grover's search algorithm

iii) Quantum simulation [4 Lectures] Quantum Cryptography

i) Key distribution ii) Quantum Key distribution: Bennett-Brassard 1988 protocol

iii) Quantum Key distribution: Eckert 1991 protocol [4 Lectures]

Books:

1. Quantum Computation and Quantum Information by Nielsen and Chuang 2. Quantum Information Theory by M. Wilde 3. Quantum Computing Explained by D. McMah


PH157 Physics of the Universe:

Unit - 1. Large scale structure of the observable universe: Brief historical survey, Tools of Astrophysics and Astronomy including light matter interaction, radiative transfer, nuclear physics, special relativity, photometry, astronomy at different wavelengths, instrumentation, Stellar Structure and Evolution, fate of stars, binary star systems, Galaxies, their structure and origin, Early Universe, thermal history of universe, big bang, CMB radiation, its physics and technology, Singularity, fate of the universe.

Unit - 2. General Relativity and Black Hole Physics: Special Relativity, Energy Momentum Tensor, Non Inertial Frames, Riemannian Geometry, Einstein's Equations, solution of Einstein's equations, Symmetries and Killing equations, Robertson Walker spacetime, brief introduction to mathematical cosmology, Schwarzschild solution, time like and null geodesics, Tests of General Relativity, General black holes including Kerr-Newman black holes, Higher dimensional and String theoretic black holes, Carter-Penrose diagrams, horizon geometry, laws of black hole mechanics. Black hole thermodynamics, Bekenstein Entropy, Hawking radiation, Information problem for black holes, Quantum gravity.

Unit - 3. Particle Physics: Leptons and Hadrons, Special relativistic kinematics, Dirac Equation and its solutions, Symmetries and Representations, CPT theorem, Feynman Diagrams, Gauge theory, Quantum Electrodynamics (QED), Cross Section Calculations, brief introduction to renormalization, Particle Accelerators and Detectors, Neutrinos and their detection, Electroweak theory, Higgs mechanism, Yang Mills theory, quarks and gluons, Quantum Chromodynamics (QCD), Summary of the Standard model, LHC physics, Beyond Standard Model.

Unit - 4. Quantum Field theory and its applications: Resume of Special Relativity, Noether ‘s theorem and Symmetries, Canonical Quantization of Scalar Fields (Bosons), Interacting scalar fields and Feynman’s calculus, Functional Integrals, Regularization and introduction to Renormalization, Renormalization Group, Quantization of Fermions and Gauge Fields, Some Cross Section Calculations in QED, Symmetry breaking and Goldstone theorem, Applications to many body physics, Green function methods in many body theories.

Unit - 5. Advanced Statistical Physics: Phase Transitions and Critical Phenomena, Scaling and Renormalization Group, RG equations and its applications, Monte Carlo simulations, Linear Response and Fluctuations, Statistical Mechanics of Polymers and soft materials, Non Equilibrium Statistical Mechanics.

Textbook:

1. C. P. Poole Jr. and F J Ownes, Introduction to Nanotechnology, Wiley (2003).


Unit - 1. Basics of membrane, Mixed ionic and electronic conductivity, Different types of the membrane including biological membrane, Transport mechanism, Oxygen and hydrogen permeation , macro as well as micro scale phenomena, Their preparation, Stability of membranes under different conditions, Structural, mechanical, chemical, optical, permeable and some other characteristics.

References:

1. Ceramic membranes for separation and reaction by Kang Li 2. Handbook of membrane reactors: fundamental materials science, design and optimization S.

Smart, S. Liu, J. M. Serra, J.C. Diniz da Costa, A. Basile


PH159 Electrochemical energy conversion and storage

Unit - 1. Recent and past energy challenges and opportunities; Introduction to fuel cells, Different types of fuel cell including proton conductor, Fuel cell components, batteries, photoelectrochemical cells, supercapacitors and thermoelectric devices; modelling: thermodynamics of electrochemical systems, interfacial phenomena, transport processes in electrochemical systems; Electrochemical measurements; Design issues in electrochemical devices.

References: 1. High-Temperature Solid Oxide Fuel Cells: Fundamentals, Design and Applications Subhash C.

Singhal, K. Kendall. 2. Fuel Cells: Principles, Design, and Analysis by S. T. Revankar, P. Majumdar.

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