SREE SARASWATHI THYAGARAJA COLLEGEstc.ac.in/syllabus/2015-2016/B.Sc_Mathematics.pdfB.Sc MATHEMATICS...

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Syllabus for

B.Sc MATHEMATICS 2015 – 2016 Batch

Knowledge Wisdom Compassion

SREE SARASWATHI THYAGARAJA COLLEGE

An Autonomous,

ISO 9001 Certified and NAAC Accredited Institution & Affiliated to Bharathiar University, Coimbatore

Approved by AICTE for MBA/MCA and by UGC for 2(f) & 12(B) status

Palani Road, Thippampatti, Pollachi - 642 107

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PERSONAL MEMORANDA

1. Register Number :

2. Name :

3. Class :

4. Father‘s Name and Occupation :

5. Permanent Residential Address :…………………………………………..

…………………………………………

…………………………………………

PIN ………………………………………

6. Residential Phone No : STD Code ……………………………..

: Phone No……………………………....

: Mobile No……………………………..

7. Temporary Address :…………………………………………..

…………………………………………

…………………………………………

8. Temporary Phone No : STD Code ……………………………..

: Phone No……………………………....

: Mobile No……………………………..

9. Day Scholar / Hosteller :

10. Blood Group :

3

INDEX

Page No.

1. Scheme of Examinations & Syllabus

a. Scheme of Examinations 01-04

b. Semester-wise Syllabus 05-55

2. Autonomous Examination-Rules and Regulations

a. Examination Regulations 56-69

b. Grievance Form 70

4

----------------------------------------------------------------------------------------------------------------

1. Scheme of examination and syllabus

5

SREE SARASWATHI THYAGARAJA COLLEGE(AUTONOMOUS), THIPPAMPATTI, POLLACHI-642107

SCHEME OF EXAMINATIONS AND SYLLABI FOR B. Sc. MATHEMATICS (CBCS) WITH EFFECT FROM

2015-2016 BATCH

BATCH CODE: N5 MEDIUM OF INSTRUCTION: ENGLISH PROGRAMME CODE: BMA

S.

NO SPL COURSECODE SEM PART TYPE COURSE HOURS CREDITS INT EXT TOTAL

1 A

N5BMA1T51 – A/

N5BMA1T51 – B/

N5BMA1T51 – C/

N5BMA1T41 – D/

I I Language - I Tamil - I / Hindi - I / Malayalam

- I / French - I

6 3 25 75 100

2 Z N5BMA1T52 I II Language - II English for Enrichment - I 6 3 25 75 100

3 Z N5BMA1T53 I III Core - 1 Classical Algebra and

Trigonometry 5 4 25 75 100

4 Z N5BMA1T54 I III Core - 2 Calculus 5 4 25 75 100

5 Z N5BMA1T55 I III Allied - 1 Mathematical Statistics – I 6 5 25 75 100

6 Z N5BMA1T96 I IV Environmental Studies 2 2 50 - 50

7 Z I IV Yoga - - - - -

30 21 550

8 A

N5BMA2T51 – A/

N5BMA2T51 – B/

N5BMA2T51 – C/

N5BMA2T41 – D/

II I Language - I Tamil - II / Hindi - II /

Malayalam - II / French - II

6 3 25 75 100

9 Z N5BMA2T52 II II Language - II English for Enrichment - II 6 3 25 75 100

10 Z N5BMA2T53 II III Core - 3 Differential Equations and

Laplace transforms 4 4 25 75 100

11 Z N5BMA2T54 II III Allied - 2 Mathematical Statistics – II 6 5 25 75 100

12 Z N5BMA2T25 II IV Skill Based

Course - 1

Programming In C and

Information Security 3 2 25 75 100

13 Z N5BMA2P46 II IV Skill Based

Course - 2

Programming In C and

Information Security Lab 3 2 40 60 100

14 Z N5BMA2T97 II IV

Value Education & Human

Rights 2 2 50 - 50

15 A N5BMA2P58 II IV Yoga 1 1 50 - 50

30 22 700

6

S.

NO SPL COURSECODE SEM PART TYPE COURSE HOURS CREDITS INT EXT TOTAL

16 A

N5BMA3T51 – A/

N5BMA3T51 – B/

N5BMA3T51 – C/

N5BMA3T41 – D/

III I Language - III Tamil - III / Hindi - III /

Malayalam - III / French - III 6 3 25 75 100

17 Z N5BMA3T52 III II Language - III English for Enrichment - III 6 3 25 75 100

18 Z N5BMA3T53 III III Core - 4 Analytical Geometry for 2-

Dimensions and 3-Dimensions 5 5 25 75 100

19 Z N5BMA3T44 III III Core - 5 Mechanics 5 5 25 75 100

20 Z N5BMA3T35 III III Allied - 3 Accountancy – I 6 5 25 75 100

21 A

N5BMA3T56-A

N5BMA3T56-B

N5BMA3T36-C

III IV Non Major

Elective – I

Basic Tamil - I / Advanced

Tamil - I /English for

Competency I

2 2 - 75 75

30 23 575

22 A

N5BMA4T51 – A/

N5BMA4T51 – B/

N5BMA4T51 – C/

N5BMA4T41 – D/

IV I Language - IV Tamil - IV/ Hindi - IV /

Malayalam - IV / French - IV 6 3 25 75 100

23 Z N5BMA4T52 IV II Language - IV English for Enrichment - IV 6 3 25 75 100

24 Z N5BMA4T53 IV III Core - 6 Vector Calculus and Fourier

Series 4 4 25 75 100

25 Z N5BMA4T34 IV III Allied - 4 Accountancy – II 6 5 25 75 100

26 Z N5BMA4T45 IV IV Skill Based

Course – 3 Programming in C++ 3 2 25 75 100

27 Z N5BMA4P46 IV IV Skill Based

Course – 4 Programming in C++ Lab 3 2 40 60 100

28 A

N5BMA4T57-A

N5BMA4T57-B

N5BMA4T37-C

IV IV Non Major

Elective – II

Basic Tamil - II / Advanced

Tamil - II /General Knowledge

& English for Competency II

2 2 - 75 75

30 22 725

7

S. NO SPL COURSECODE SEM PART TYPE COURSE HOURS CREDITS INT EXT TOTAL

29 A N5BMA5T51 V III Core - 7 Discrete Mathematics 5 4 25 75 100

30 Z N5BMA5T52 V III Core - 8 Real Analysis - I 5 5 25 75 100

31 Z N5BMA5T53 V III Core - 9 Complex Analysis - I 6 5 25 75 100

32 Z N5BMA5T44 V III Core - 10 Modern Algebra 6 5 25 75 100

33 A N5BMA5T25-A/

N5BMA5T95-B V III

Elective – I Numerical Methods – I /

Automata Theory 5 5 25 75 100

34 Z N5BMA5T26 V IV Skill Based

Course – 5 Operations Research -I 3 2 25 75 100

35 N5BMA5T27 V IV Extra credit

course

Mathematics for Competitive

Examinations* 4* 2* 100* - 100*

36 N5BMA5P28 V V National Service Scheme/Sports GRADE

30 26 600

37 Z N5BMA6T51 VI III Core - 11 Real Analysis - II 5 5 25 75 100

38 Z N5BMA6T52 VI III Core - 12 Complex Analysis - II 6 5 25 75 100

39 Z N5BMA6T53 VI III Core - 13 Linear Algebra 6 5 25 75 100

40 A N5BMA6T34-A/

N5BMA6T94-B VI III

Elective – II

Numerical Methods – II /

Fuzzy Mathematics 5 5 25 75 100

41 A N5BMA6T45-A/

N5BMA6T55-B VI III

Elective – III

Number Theory /

Graph Theory 5 5 25 75 100

42 Z N5BMA6T26 VI IV Skill Based

Course – 6 Operations Research - II 3 2 25 75 100

30 27 600

Total 140 + 2* - -

3700+

100*

Note:

* These are courses conducted during the special hours with extra credits.

8

CLASSIFICATION OF TOTAL CREDITS

S. NO TYPE NO. OF COURSES CREDITS

1 Languages 4 6

2 English 4 6

3 Core 13 62

4 Allied 4 20

5 Electives 3 15

6 Skilled based Course 6 12

7 Non-Major Electives 2 4

8 Environmental Studies 1 2

9 Value Education & Human rights 1 2

10 Extension Activities 1 1

Total Credits 140

Extra Credits 2*

EXPANSION FOR THE TITLES

S.NO Serial Number

SPL Z For Compulsory one and A To X for Alternatives (Shall be Indicated along with Code Connected by a Hyphen Mark)

CODE Code Number for Each of the Course

SEM I To X For First Semester To Last Semester (Six For UG Programmes and Four / Six / Ten For PG Programmes)

PART I To V For UG Programmes And Blank Space For PG Programmes

TYPE Nature of the course

COURSE Title of the Paper

HOURS Contact Allocated for Each Course

CREDITS Credit Weightage Allocated for Each Course and Total for Each Programme

INT Maximum Internal Marks Allocated for Each Course

EXT Maximum External Marks Allocated for Each Course

TOTAL Maximum Total Marks Allocated for Each Course

9

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11

SEMESTER- I

PART-I, PAPER-I, HINDI

(Common for all U.G. Courses)

Credits : 3 Course Code :N5BMA1T51-B


(Prose, Non-detailed Text, Grammar & Translation Books Prescribed:

1. PROSE : NUTHAN GADYA SANGRAH Editor: Jayaprakash

(Prescribed Lessons – only 6)

Lesson 1 – Bharthiya Sanskurthi Lesson 3 - Razia

Lesson 4 – Makreal

Lesson 5- Bahtha Pani Nirmala

Lesson 6 – Rashtrapitha Mahathma Gandhi

Lesson 9 – Ninda Ras.

Publisher: Sumitra Prakashan Sumitravas, 16/4 Hastings Road, Allahabad – 211 001.

2. NON DETAILED TEXT: KAHANI KUNJ.

Editor: Dr.V.P.Amithab. (Stories 1 -6 only)

Publisher : Govind Prakashan Sadhar Bagaar, Mathura, Uttar Pradesh – 281 001.

3. GRAMMAR : SHABDHA VICHAR ONLY

(NOUN,PRONOUN, ADJECTIVE, VERB, TENSE,CASE ENDINGS) Theoretical &

Applied.

Book for reference : Vyakaran Pradeep by Ramdev.

Publisher : Hindi Bhavan, 36,Tagore Town, Allahabad – 211 002.

4. TRANSLATION: English- Hindi only.

ANUVADH ABHYAS – III (1-15 lessons only)

Publisher: DAKSHIN BHARATH HINDI PRACHAR SABHA CHENNAI -17.

5. COMPREHENSION: 1 Passage from ANUVADH ABHYAS – III (16- 30)

DAKSHIN BHARATH HINDI PRACHAR SABHA CHENNAI- 17.

SEMESTER- I

PART-I, PAPER-I, MALAYALAM


Credits : 3 Course Code :N5BMA1T51-C


Prose, Composition & Translation

This paper will have the following five units:

Unit I & II Novel

Unit III & IV Short story

Unit V Composition & Translation

Text books prescribed:

Unit I & II Naalukettu – M.T. Vasudevan Nair (D. C. Books, Kottayam, Kerala)

Unit III & IV Nalinakanthi – T.Padmanabhan (D. C. Books, Kottayam, Kerala)

Unit V Expansion of ideas, General Essay and Translation of a simple passage from

English to Malayalam (about 100 words)

Reference books:

1. Kavitha Sahithya Charitram –Dr. M. Leelavathi (Kerala Sahithya Academy, Trichur)

2. Malayala Novel Sahithya Charitram – K. M.Tharakan (N.B.S. Kottayam)

3. Malayala Nataka Sahithya Charitram – G. Sankarapillai (D.C. Books, Kottayam)

12

4. Cherukatha Innale Innu – M. Achuyuthan (D.C. Books, Kottayam)

5. Sahithya Charitram Prasthanangalilude - Dr. K .M. George, (Chief Editor) (D.C.

Books, Kottayam

SEMESTER- I

PART-I, PAPER-I, FRENCH


Credits : 3 Course Code :N5BMA1T41-D


Prescribed text : ALORS I

Units : 1 – 5

Authors : Marcella Di Giura Jean-Claude Beacco

Available at : Goyal Publishers Pvt Ltd

86, University Block

Jawahar Nagar (Kamla Nagar) New Delhi – 110007.

Tel : 011 – 23852986 / 9650597000

SEMESTER I

ENGLISH FOR ENRICHMENT-I

Credits: 3 Course Code: N5BMA1T52

Hours per Week: 6 Total Instructional Hours: 75

Course Objective : To expose students to the various facets of literature and thereby to

enhance them in comprehending the efficiency of English language.

Skill Set To Be Acquired: On successful completion of the course, the students should

have acquired.

• Language skills with literary appreciation and critical thinking.

• Comprehension Skill

• A flair for English language

UNIT I 15 Hours

All The World‘s A Stage- William Shakespeare-5

Our Present Generation- C.E.M. Joad-4

A Poison Tree- William Blake-3

Parts of speech and Sentence pattern

UNIT II 15 Hours

I‘m Getting Old- Robert Kroetsche

Mahatma Gandhi- V.S.Srinivasa Shastri

The Adventure of The German Student-Washington Irving Voice

UNIT III 16 Hours

Mending Wall-Robert Frost

The Last Leaf-O.Henry

A Noiseless Patient Spider- Walt Whitman

Narration

UNIT IV 15 Hours

La Belle Dame Sans Merci-John Keats

A Dissertation Upon Roasted Pig-Charles Lamb

To An Unborn Pauper Child-Thomas Hardy

Tenses

UNIT V 14 Hours

13

Refugee Mother And Child- Chinua Achebe

On Superstition- A.G. Gardiner

Some Curious Western Culture

Sparrows-K. Ahmad Abbas

Suggested Reading

The Radiant English Anthology, Prof. Gangadhar P.Kudari, Dept Of English, Gadag,

Macmillan Limited, 2008

Short Stories: Narration. An Anthology Of Short Stories M.M. Lukose, Formerly

Professor Of English, Kottayam, Macmillan.

SEMESTER I

CLASSICAL ALGEBRA & TRIGONOMETRY


Hours per week: 5 Total Instructional Hours: 60

Course Objective: To train the students on summation of series, on solving algebraic equations

subject to some conditions and on trigonometrical functions

Skills set to be acquired: After the completion of the course the student will be able to sum the

series using Binomial, exponential and Logarithmic theorem; to solve algebraic equations

approximately; to expand trigonometrical functions; to acquire knowledge about hyperbolic and

logarithmic functions.

UNIT I 12 Hours Binomial Theorem (statement only)– application to summation only - Exponential Theorem

(statement only)- application to summation only - Logarithmic series – application to summation

only.

UNIT II 12 Hours Theory of Equations: Relation between roots and coefficients – problems – Transformation of

equation: diminishing or increasing roots of an equation by h – problems – Reciprocals equations

– problems.

UNIT III 12 Hours Descartes rule of signs – Rolle‘s Theorem – Multiple roots – Nature of roots of f (x)=0- Horner‘s

method to find a positive root or negative root approximately.

UNIT IV 12 Hours Expansion of sin n θ, cos n θ in powers of sin θ, cos θ- Expansion of tann θ in powers of tan θ -

Expansion of sinn θ, cosn θ , sinm θ cosn θ in terms of multiples of sin θ and cos θ - Expansion

of sin θ, cos θ in terms of powers of (θ :radians).

UNIT V 12 Hours Hyperbolic Functions: Relation between circular and hyperbolic function - separation of real and

imaginary parts – sin (x+iy), cos (x+iy), tan (x+iy), tan-1 (x+iy) - problems - logarithm of

complex quantities - problems

Text Books:

1. T.K.ManicavachagomPillai, T. Natarajan, K. S Ganapathy, Algebra, Viswanathan

Printers & Publishers Private Ltd, 2004 (Unit I,II& III).

2. Kandasamy. P, Thilagavathi. K, Mathematics for B.Sc. Branch I, Volume I,

S.Chand& Co, 2004 (Unit IV, V)

Reference Books:

1. S. K. Goyal, Algebra, ArihantPrakashan, 2005.

2. M. L. Khanna, Algebra, Jai Prakashnath& Co, 1994

14

3. P.R.Vittal, Trigonometry, Margham Publications, Chennai – 17, 3rd

Edition, 2004

for Unit V.

SEMESTER I

CALCULUS



Course Objective: To teach the students about the evolutes and envelopes, different types of

integrations, multiple integration, its geometrical application, Beta and Gamma functions.

Skills set to be acquired: After the completion of the course the student gains knowledge about

the application of Differential and Integral Calculus.

UNIT I 12 Hours Curvature – Circle, Radius and Centre of curvature - Cartesian formula for ρ - derivation and

problem – Coordinates of the centre of curvature

UNIT II 12 Hours Envelopes – Method of finding envelope of f(x, y, t) =0 ( a quadratic in t) – curves with two

parameters- Evolute and involute – Radius of curvature in polar form

UNIT III 12 Hours

Evaluation of Integrals of the form [( lx+m ) / (ax2+bx+c)] dx , dx / (a+bcosx) – Integration by

parts -Reduction formula for sinnx dx, cos

nx dx - Evaluation of e

axcosbx dx, e

axsinbx dx –

Bernoulli‘s formula

UNIT IV 12 Hours

Multiple integrals – Definition-Evaluation of double integrals in Cartesian- changing the order of

integration- Evaluation of Double integral polar coordinates

UNIT V 12 Hours

Change of variables: Jacobian – Definiton – properties (statement only) – problems-

Transformation from Cartesian to polar coordinates - Transformation from Cartesian to Spherical

coordinates - Beta Gamma Functions:– definition - convergence of Γ𝑛 - Recurrence formula for

Gamma functions – Propeties of Beta functions – Relation of Beta and Gamma functions.

Text Book:

S. Narayanan and T.K.M. Pillai, Calculus vol I and vol II, Viswanathan Publishers, 2007.

Unit I : Page no. 291 to 300, 303to 307 (Calculus volI)

Unit II: 281 to 289, 309 to 314 (Calculus vol I)

Unit III: 29 to 30, 61 to 64, 74 to 77, 81 to 84, 97 to 100 (Calculus vol II)

Unit IV: 207 to 212, 215 to 218 (Calculus vol II)

Unit V : 251, 252, 259 to 264, 278 to 291 (Calculus vol II)

Reference Books:

1. P. Kandasamy and K.Thilagavathy, Mathematics for BSc Vol I and. II, S.Chand and Co,

2004.

2. Shanthi Narayanan and J.N. Kapoor, Differential Calculus, S.Chand& Co, 1996.

3. S. Rajasekaran, Engineering Mathematics – I, Dhanam Publications, 2008.

SEMESTER I

MATHEMATICAL STATISTICS I



Course Objective: To teach the concept of probability, one dimensional, two dimensional

random variable and about special probability distributions.

15

Skill sets to be acquired: After the completion of the course the student will be able to solve

problems on probability and on theoretical distributions

UNIT I 15 Hours

Conditional Probability-Definition Problems-Bayes Theorem-Statement and

Problems,

Mathematical Expectation- Definition-addition and multiplication Theorem- Problems.

UNIT II 15 Hours Moments, Moment generating function-Defn-Properties with Proof-Skewness,

kurtosis, - Defn -Cumulant generating Function-Relation between Central moments and

cumulants (without Proof). (Frequency distribution problems to be avoided)

UNIT III 15 Hours Tchebychev‘s Inequality -Statement and Proof-Problems-Characteristic function-Defn -

properties without Proof- Characteristic function for Binomial, Poission, Uniform, and

Exponential Distributions.

UNIT IV 15 Hours Bivariate distribution –Defn- Joint Pdf, Marginal and Conditional density function –

independent random variables-problems– MGF for Binomial distribution- Recurrence relation

for moments for Binomial distribution. MGF for Poisson distribution –Recurrence relation for

Moments of Poisson distribution.

UNIT V 15 Hours MGF for Normal distribution -Recurrence relation between moments of Normal

distribution –- Uniform distribution: Definition-MGF about Origin – Gamma distribution:–

Definition –MGF-Additive property.

Text book:

P.R. Vittal, Mathematical Statistics, Margham Publications, 2004

Unit-I Page no.1.8 to 1.10, 1.32 to 1.47, 3.1 to 3.3, 3.7 to 3.17 (Mathematical Statistics Part I)

Unit-II Page no 5.1 to 5.16, 6.40 to 6.41(Mathematical Statistics Part I) 7.1, 7.18 to 7.20

(Mathematical Statistics Part II)

Unit-III Page no 4.21 to 4. 26, 6.1 ,6.2, 6.10 to 6.13,.21to 4.26 (Mathematical Statistics Part I)

Unit-IV Page no 2.17 to 2.35, 12.19 to 12.33, 13.18 to 13.20 (Mathematical Statistics Part I)

Unit-V Page no 16.1 to16.4, 17.1to17.3, 19.1 to 19.3(Mathematical Statistics Part I)

Reference Books:

S. P. Gupta, Statistical Methods, S. Chand, 2002.

Gupta, S.C. and Kapoor V.K., Fundamentals of Mathematical Statistics, S. Chand & Sons, 2011

R.S.Bharadwaj, Business Statistics, Excel Book, 2006.

SEMESTER – I

ENVIRONMENTAL STUDIES

Credits : 2 Course Code :N5BMA1T96

Hours per week:2 Total Instructional Hours: 27

1.1. Definition, scope and importance

1.2. Need for public awareness

1.3. Natural resources

1.3.1. NATURAL RESOURCES AND ASSOCIATED PROBLEMS 6 Hours

a. Forest resources: use and over-exploitation, deforestation, case studies. Timber

extraction, mining, dams and their effects on forests and tribal people.

b. Water resources: use and over- utilization of surface and ground water, floods,

drought, conflicts over water, dams- benefits and problems

16

c. Mineral resources: Use and exploitation, environmental effects of extracting and

using mineral resources, case studies.

d. Food resources: world food problems, changes caused by agriculture and

overgrazing, effects of modern agriculture, fertilizer-pesticide problems, water logging,

salinity, case studies.

e. Energy resources: growing energy needs, renewable and non-renewable energy

sources, use of alternate sources. case studies.

f. Land resources: land as a resource, land degradation, man induced landslides, soil

erosion and desertification.

1.3.2. Role of an individual in conservation of natural resources.

1.3.3. Equitable use of resources for sustainable lifestyles.

2. ECOSYSTEMS 5 Hours

2.1 Concept of an ecosystem.

2.2 Structure and function of an ecosystem.

2.3 Producers, consumers and decomposers.

2.4 Energy flow in the ecosystem.

2.5 Ecological succession.

2.6 Food chains, food webs and ecological pyramids.

2.7 Introduction, types, characteristic features, structure and function of the following

ecosystem:

Forest ecosystem.

Grassland ecosystem.

Desert ecosystem.

Aquatic ecosystems (ponds, streams, lakes, rivers, oceans, estuaries)

3. BIODIVERSITY AND ITS CONSERVATION 5 Hours

3.1 Introduction – Definition: genetic, species and ecosystem diversity.

3.2 Biogeographical classification of India.

3.3 Value of biodiversity: consumptive use, productive use, social, ethical. Aesthetic

and option

values

3.4 Biodiversity at global, National and local levels.

3.5 India as a mega –diversity nation.

3.6 Hot-spots of biodiversity.

3.7 Threats to biodiversity: habitat loss, poaching of wildlife man-wildlife conflicts.

3.8 Endangered and endemic species of India.

3.9 Conservation of biodiversity: In-situ and Ex-situ conservation of biodiversity.

4. ENVIRONMENTAL POLLUTION 5 Hours

4.1 Definition

Causes, effects and control measures of: -

Air pollution, Water pollution, Soil pollution, Noise pollution, Thermal

pollution

4.2 Solid Waste Management: Causes, effects and control measures of urban and

industrial wastes.

4.3 Role of an individual in Prevention of Pollution.

4.4 Pollution Case Studies.

4.5 Disaster Management: Floods, Earthquake, Cyclone and Landslides.

5. SOCIAL ISSUES AND THE ENVIRONMENT 6 Hours

5.1 Sustainable development

5.2 Urban problems related to energy.

5.3 Water conservation, rainwater harvesting, watershed management.

17

5.4 Resettlement and rehabilitation of people; its problems and concerns. Case studies.

5.5 Environmental ethics: issues and possible solutions.

5.6 Climate change, global warming, ozone layer, depletion, acid rain, nuclear

accidents and holocaust. Case studies

5.7 Consumerism and waste products.

5.8 Environmental protection Act.

5.9 Air (Prevention and Control of Pollution) Act.

5.10 Water (Prevention and Control of Pollution) Act.

5.11 Wildlife Protection Act.

5.12 Forest Conservation Act.

5.13 Issues involved in enforcement of environmental legislation.

5.14 Public awareness.

5.15 Human population and the environment.

5.15.1 Population growth and distribution.

5.15.2 Population explosion – Family Welfare Programme.

5.15.3 Environment and human health.

5.15.4 Human rights.

5.15.5 Value Education.

5.15.6 HIV/ AIDS

5.15.7 Women and Child Welfare

5.15.8 Role of Information Technology in Environment and Human Health

5.15.9 Medical Transcription and Bioinformatics

SEMESTER- II - ,uz;lhk; gUtk]

gFjp I jkpH] II

Part I Tamil II

jhs; - II



nehf;fk;:

bjhd;;ikahd jkpH;r; r\fj;jpd; gz;ghl;L thapyhf vLj]Jf] bfhs;sg;gl ntz;oa

mk;r';fis tpsf]Fjiya[k]/ thH;f;ifia bewpg;gLj;Jtija[k; r\f nehf;fkhff;

bfhz;oUf;Fk; ,yf;fpa';fspd] tHpna khdpl kjpg;g[fis mwpe;J bfhs;Sk; tifapy;

,g;ghlj;jpl;lk; mikf;fg;gl;Ls;sJ. khzth]fSf]Fg] gad]ghl]L nehf]fpy] bkhHpbgah]g]g[g]

gapw]rp itf]fg]gl]Ls]sJ.

(r';f ,yf;fpak;/ gf;jp ,yf;fpak;[/ rpw;wpyf;fpak;/ciueil/ ,yf;fzk;(gapw;rp VL) )

myFI r';f ,yf;fpak; gh.nt : 15

ew;wpiz -tpisahL MabkhL(172)

FWe;bjhif - ntuy;ntyp (18)

Kl;Lntd; bfhy; (28)

I';FWE}W -Vjpy bga;k;kiH (462)

thd;gprph; fUtp (461)

fypj;bjhif -kiuah kuy; ftu (06)

mfehD}W -kd;WghL mtpe;J (128)

g[wehD}W - cz;lhy; mk;k ,t;t[yfk; (182)

18

cw;WHp cjtp[a[k; (183)

gilg;g[g; gy gilj;Jg; (188)

<bad ,uj;jy; (204)

myFIIgf;jp ,yf;fpa';fs; & rpw;wpyf;fpa';fs; gh.nt:20

njthuk; - jpU"hdrk;ge;jh; - njhLila brtpad; /ke;jpukhtJ ePW

- jpUeht[f]furh] –khrpy; tPiza[k; / brhw]Wiz ntjpad]

- Re;juh;- gpj;jh gpiw R{o / bghd;dhh; nkdpand

jpUthrfk; - khzpf;fthrfh; –thdhfpkz;zhfp /fhjhh; FiHahlg;

jpUke]jpuk] - jpU\yh] –xd;nw FyKk; / ahd; bgw;w ,d;gk; / clk]ghh]

mHpapd]/xd]W fz]nld]/kuj]ij kiwj]jJ(5

ghly;fs;)

ehyhapu jpt]ag] gpuge]jk] - kJuftpMH]thh] - fz]zpEz] rpWjhk]g[ (937)/ ehtpdhy;

etpw;W (938)

- Fynrfu MH]thh; - Mdhj bry;tj;J (678) / broaha

ty;tpidfs; (685)

- jpUk']if MH]thh] - jpUvG Tw]wpUf]if xU ngh] ce]jp

(2 ghly;fs;)

rpj;jh;ghly;fs; - mfj]jpah] (2 ghly;fs;)

ghk]ghl]or] rpj]jh] (2 ghly;fs;)

mGfzpr] rpj]jh] ( 2ghly;fs;)

,ilf]fhl]Lr] rpj]jh] (2 ghly;fs;)

nghfh] – md;dj;jpw;F bgho/ fUntk;g[ FoePh;(2 ghly;fs])

rpw;wpyf;fpa';fs; -Fw;whyf; Fwt";rp – tre;jty;yp ge;joj;jy;(4ghly;fs;)

Kf;Tlw;gs;S– fiwg;gl;Ls;sJ/ fha fz;lJ/

Mw;Wbts;sk;/ (3ghly;fs;)

Kj;Jf;FkhuRthkp gps;isj; jkpH;-kPndW Fz;lfHp

jptha;/

brk;bghd; mor;rpW fpz;fpzpnahL(5/6 tJ ghly;)

myFIII ciueil gh.nt: 15

1.rPh;jpUj;jk; my;yJ ,sik tpUe;J - jpU.tp.f.

2. kdpj neak; - nt.Kj;Jyf;Fkp

3.gazk; bry;nthk; - bt.,iwad;g[

4. cyfshtpa Ie;J kjpg;g[fs; - rp.nrJuhkd;

5. fhLk; kdpjUk; - R.jpnahlh; gh!;fud;

myFIV ,yf;fpa tuyhW gh.nt : 15

1. r';f ,yf;fpaj;jpd; rpwg;g[f;fs;

2. gf;jp ,yf;fpak; kw;Wk; rpw;wpyf;fpaj;jpd; njhw;wKk; tsh;r;rpa[k;

3. ciueilapd; njhw;wKk; tsh;r;rpa[k;

myFV ,yf;fzk; gh.nt : 10

gapw;rp VL - ey;y jkpHpy; vGJtJ vg;go>

1. xUik/ gd;ik kaf;f';fs;

2. tGr;brhw;fis ePf;Fjy;

19

3. gpwbkhHpr; brhw;fis ePf;Fjy;

4. brhw;gphpg;g[ gpiHfis ePf;Fjy;

5. xyp ntWghL mwpe;J rhpahd bghUs; mwpjy;

bkhHpbgah;g;g[

rpWfij vGJjy;

ghl E}y]fs]

1. ,yf;fpaj] jpul;L - _ ru!;tjp jpahfuh$h fy;Y}hp btspaPL

2015 $^d] gjpg]g[

2.jkpH; ,yf]fpa tuyhW- K.tujuhrd]


kW gjpg]g[ - 1994.

ghh]it E}y]fs]

1.r']f ,yf;fpaj; bjhFg;g[f;fs; - epa{ br";Rhp g[f; Qt[!;

41/gp rpl;nfh ,d;l!;l;hpay; v!;nll;

mk;gj;J}h; / brd;id - 98

,uz;lhk; gjpg;g[ - 2004.

2e.Kj;Jr;rhkp fl;Liufs; - bjhFg;g[ rp. mz;zhkiy

fht;ah gjpg;gfk;

16- 2 tJ FWf;Fj; bjU

ou!;l; g[uk; /nfhlk;ghf;fk;

brd;id -24/ gjpg;g[ - 2005.

3. jkpH;f;fhjy; - t.Rg. khzpf;fdhh;

kzpthrfh; gjpg;gfk;

brd;id.

4. vGJk; fiy - b$ankhfd;

jkpHpdp

67/ gPl;lh;!; rhiy

,uhangl;il

brd;id – 14

5.gf;jp ,yf;fpak; - g. mUzhryk;

irt rpj;jhe;j E}w;gjpg;g[f; fHfk;

brd;id -06/gjpg;g[ - 1990.

6. irtKk; rkzKk; - ntYg]gps]is

vdp ,e;jpad; gjpg;gfk;

102vz; 57 gp.vk;.$p. fhk;bsf;!;

bjw;F c!;khd] rhiy

jp.efh;/ brd;id -17/ gjpg;g[ - 1990.

7.jkpH; ciueilapd;

njhw;wk; tsh]r]rp - f.ifyhrgjp

epa{ br"]Rhp g[j]jf epWtdk]/brd;id.

8.jkpHpy; jtwpd;wp vGj/ ngr - ey;yh\h;.Kidth;.nfh.bghpaz;zd;

fw;f! Kj;jkpH; gjpg;gfk;

9 v nkf;kpy;yd; fhydp

e';if ey;Y}h;/ brd;id – 61.

20

SEMESTER- II

PART-I, PAPER-II, HINDI


Credits : 3 Course Code :N5BMA2T51-B


(Modern Poetry, Novel, Translation & Letter Writing)

1. MODERN POETRY: SHABARI by Naresh Mehtha

Publishers: Lokbharathi Prakashan, I Floor,Duebari Building

Mahathma Gandhi Marg, Allahabad -1.

2. ONE ACT PLAY: EKANKÏ SANKALAM By Veerendra Kumar Mishra

Publisher: Vani Prakasham, New Delhi – 110 002.

3. TRANSLATION: HINDI – ENGLISH ONLY, (ANUVADH ABYAS – III) Lessons.1 – 15

only

Publisher: Dakshin Bharath Hindi Prachar Sabha Chennai – 600 017.

4. LETTER WRITING: (Leave letter, Job Application, Ordering books, Letter to Publisher,

Personal letter)

5. CONVERSATION: (Doctor & Patient, Teacher & Student, Storekeeper & Buyer, Two

Friends, Booking clerk & Passenger at Railway station, Autorickshaw driver and Passenger)

SEMESTER- II

PART-I, PAPER-II, MALAYALAM


Credits : 3 Course Code :N5BMA2T51-C


Prose: Non-fiction


Unit I & II Biography

Unit III, IV & V Smaranakal

Text books prescribed:

Unit I & II Kanneerum Kinavum- V.T.Bhatahirippad (D.C. Books, Kottayam)

Unit III, IV & V Balyakalasmaranakal – Madhavikkutty (D.C. Books, Kottayam)

Reference books:

1. Jeevacharitrasahithyam – Dr. K.M. George (N.B.S. Kottayam)

2. Jeevacharitrasahithyam Malayalathil – Dr. Naduvattom Gopalakrishnan (Kerala

Bhasha

Institute, Trivandrum)

3. Athmakathasahithyam Malayalathil – Dr. Vijayalam Jayakumar (N.B.S. Kottayam)

4. Sancharasahithyam Malayalathil – Prof. Ramesh chandran. V, (Kerala Bhasha

Institute, Trivandrum)

21

SEMESTER- II

PART-I, PAPER-II, FRENCH


Credits : 3 Course Code :N5BMA2T41-D


Prescribed text : ALORS I

Units : 6 – 10





Tel : 011 – 23852986 / 9650597000

SEMESTER- II

ENGLISH FOR ENRICHMENT-II

Credit :3 Course Code :N5BMA 2T52

Hours per Week: 6 Total Instruction Hours: 75

Course Objective : To enable the students in understanding the intrinsic nuances of English

language.

Skill Set To Be Acquired: On successful completion of the course, the students should have

acquired.

• Improved Communication Skills

• Confidence to deal with real life situation.

Unit I 15 Hours

The Gift of Language – J.G. Bruton

The Land where There were no old Men – Jean Ure

Student Mobs – J.B. Priestly

Unit II 15 Hours

The Clerk of Oxford‘s Tale from The Canterbury Tales - Geoffrey Chaucer.

The Ancient Mariner – S.T. Coleridge

The Song of Hiawatha – H.W. Longfellow

Unit III 15 Hours

Ode to a Nightingale – John keats

The Stolen Boat Ride – William Wordsworth, Advice to a Girl – Thomas Champion

Unit IV 15 Hours

Kiran Bedi – Parmesh Dangwal

Sorrows of Childhood – Charles Chaplin

At School – M.K. Gandhi

Unit V 15 Hours

Letter Writing

Precis Writing

Suggested Reading

ReflectionsDr.Khader Almas, N. Mehar Taj, S. Alliya Parveen. Edt. Razia Nazir Ali,

Dept of English. JBAS College, Chennai. Macmillan 2007

22

SEMESTER II

DIFFERENTIAL EQUATIONS AND LAPLACE TRANSFORMS



Course Objective:To train the students on solving Ordinary differential Equations of First Order

and Second Order, Partial Differential equations.

Skills set to be acquired:After the completion of the course the students will be able to solve

Ordinary differential Equations & Partial Differential equations.

UNIT I 10 Hours Exact differential equations-Definition - conditions for M(x, y)dx + N(x, y)dy = 0 to be exact-

Rules for solving Mdx + Ndy = 0 when it is exact and when it is not exact using integrating

factors.

Solving differential equations of first order and higher degree: Solvable for p, for q, for y, for x,

for z & Clairaut‘s equations-general and singular solutions.

UNIT II 10 Hours Solving linear differential equations with constant coefficients of the form (aD

3 + bD

2 + cD + d)y

= x, where a,b,c,d are constants & x is of the form emx

, cosmx, sinmx, x, x2, xe

mx,

emx

sinnx, emx

cosnx.

UNIT III 10 Hours PDE: Definition- Formation of PDE by eliminating arbitrary Constants & eliminating arbitrary

functions- Types of solutions of PDE- solutions of PDE in the Standard forms f(p,q) = 0, f(x,p,q)

= 0, f(y,p,q)=0, f(z,p,q)=0, f(x,p)=f(y,q) Clairaut‘s Form. Lagrange‘s method of solving PDE o f

the form 𝑝𝑃 + 𝑞𝑄 = 𝑅. UNIT IV 10 Hours The Laplace transforms: Sufficient condition for the existence of Laplcace Transform –

Properties of Laplcace Transform - Laplcace Transform of periodic functions – Some general

Theorem – Evaluation of Integral

UNIT V 10 Hours

Inverse Laplace transforms-Application of Laplace transform: Solving ODE with constant co-

efficient

Text Book:

S. Narayanan & T. K. M. Pillai , Calculus Vol III, Viswanathan Printers, 2007

Unit I : Chapter 1 Sec 3.1 to 3.4, Sec 5.1 to 6.1

Unit II : Chapter 2 Sec 1 to Sec 4

Unit III: Chapter 4 Sec 1 to Sec 5.4, 5.6

Unit IV: Chapter 5 Sec 1 to Sec 5

Unit V : Chapter 5 Sec 6 to Sec 8

Reference Books:

1. Narayanan S. Manickavachagom Pillai T.K, ―Differential Equations and its Applications‖

Viswanathan Printers, 2007.

2. P. Kandaswamy, K.Thilagavathy, Mathematics for B.Sc Br. I Third Semester Vol III,

S.Chand Publications, 2004.

3. Arumugam, Isaac, Allied Mathematics, New Gamma Publishing house, 2007.

23

SEMESTER II

MATHEMATICAL STATISTICS-II



Course Objective: To teach the students about the sampling theory and its applications.

Skills set to be acquired: After the completion of the course the student will be able to

understand the importance and applications of sampling theory in real life.

UNIT I 15 Hours Estimation-Point estimation: Estimator and estimate, unbiased estimator: theorems 1,2,3-

examples. Cramer- Rao Inequality- statement and proof.

UNIT II 15 Hours

Rao-Blackwell theorem - Most efficient estimator, consistent estimator, sufficient estimator,

method of moments, method of maximum likelihood, properties of maximum likely hood

estimators and simple problems

UNIT III 15 Hours

Large samples- population, sample, parameter and statistic, sampling distribution –definition-

sample distribution of mean, standard error of mean – test of hypothesis- one tail test and two tail

test- significant level-large sample tests for a specified mean- equality of two means-specified

proportion-equality of two proportions

UNIT IV 15 Hours

Small samples-t test: Definition-uses of t test- properties of sampling distribution of t, t test for a

specified mean - t test for the difference between two population means - t test for paired

observations - Small sample: F test- F test for equality of population variances.

UNIT V 15 Hours

Analysis of variance: One way classification - One way classification problems -Small samples:

Chi-square test: Definition - test of independence of attributes ( for 2x2 contingency table) -

problems.

Text Books:

P.R. Vittal, Mathematical Statistics, Margham Publications, 2012.

UNIT I: Page No. 23.1 to 23.22

UNIT II: Page No.23.23 to 23.51

UNIT III :Chapter 24.1 to 24.41

UNIT IV :Chapter 25.1 to 25.37, 26.1to 26.7

UNIT V:Chapter 26.14 to 26.27 & 27.1, 27.2, 27.18 to 27.25

Reference Books:

1. Guptha, S.C and Kapoor.V.K, Fundamentals of Mathematical Statistics, S. Chand &

Sons, 2002.

2. S. P. Gupta, Statistical Methods, S. Chand, 2002.(UNIT III)

3. R.S.Bharadwaj, Business Statistics, Excel Book, 2006.

4. Probability Theory and Mathematical Statistics by MarekFisz, John Wiley, 1980.

SEMESTER II

PROGRAMMING IN C AND INFORMATION SECURITY



Course Objectives: To teach the students about the basic structure, Statements, arrays, functions

and various concepts of C language. The course covers al aspects of Cyber Security including

network security, computer security and information security.

24

Skill sets to be acquired: After the completion of the course, the student will be able to write

the program using statements of C language, decision-making statements, arrays, and

functions.

UNIT I 7 Hours

About C: Introduction to C-Structure of C program- Character Set-Keywords-

Constants-Variables: Defining rules-Declaration-Data Types-Type Conversion-

Formatted I/O Functions.

UNIT II 7 Hours

Operators and Expressions - Decision Making Statements- Looping Statements.

Arrays: Definitions-Declaration-Initialization-1D, 2D, Multidimensional array.

UNIT III 7 Hours

String: Definition – Declaration – Initialization- String Handling Functions.

Functions: Definition- Declaration-Types of Functions- call by value and call by

reference-Recursion.

UNIT IV 7 Hours

Pointers: Definition-features-Declaration- pointer and arrays-pointer to pointer.

Structures: Definition-declaration-Accessing the structure element- Defining and

opening a file-closing the file-I/O operations on the file.

UNIT V 7 Hours

Introduction to computer Security: Bsic concepts, threat models common security goals.

Cryptography and cryptographic protocols, including encryption, anthentication, message

authentication codes, hash functions, one way functions, public-key cryptography,

securechannels, zero knowledge in practice, cryptographic protocols and their integration into

distributed systems, and other applications.

Text Book:

1. Ashok N.Kamthane, Programming with ANSI C and Turbo C, Pearson Education

Publication, 5th

Edition.

2. Charles P Pfleeger and Shai Lawrence pfleeger, ―Security in Computing‖, Fourth Edition,

Prentice Hall, 2007.

Reference Books:

1. Byron S. Gottfried, Programming with C, Tata McGraw Hill Edition, 1997

2. Dennis M.Ritchie, Brian W.Kernigham, The C Programming Language, Prentice Hall of

Pvt Ltd, New Delhi 2006.

3. Y.Kanetkar, Let us C, BPB Publications, New Delhi, 2007.

E.Balagurusamy, Programming in ANSI C, Tata McGraw Hill 4th

edition

SEMESTER II

PROGRAMMING IN C AND INFORMATION SECURITY

(PRACTICAL)

Credits: 2 Course Code: N5BMA2P46


1. Write a C program to find biggest among three numbers.

2. Write a C program to solve quadratic equation ax2

+ bx + c = 0.

3. Write a C program to calculate non zero elements of a square matrix.

4. Write a C program for conversion of decimal to binary.

5. Write a C program to find the GCD

6. Write a C program to find largest number in the array.

7. Write a C program to find the value of nCr (using recursion).

25

8. Write a C program to generate the Fibonacci sequence for n terms.

9. Write a C program for Matrix Addition and Matrix Subtraction.

10. Write a C program for sorting numbers (Ascending and Descending).

11. Write a C program to find given string is palindrome or not using string manipulations.

12. Write a C program for Payroll Preparation using files.

SEMESTER- II

Part -IV mwtpay] fy]tpa[k] kdpjchpika[k]

Credits :2 Course Code : N5BMA2T97

Hours per week:2 Total Instructional hours- 27

nehf]fk]: thH]tpay] bewpfisf] fw]gpj]J/ Md]kPfk] kw]Wk] kdpjneatHpepw]f

khztkhztpaiuj] jahh] bra]J/ mth]fisj; jiyrpwe]j

Fokf]fshfkhw]Wjy].

myF I

4 Hours

fy]tp–tiuaiu - fy]tpapd] nehf]fk]- thH]tpd] cd]djbewpfs] - bewprhh]e]j fy]tp- mwtpay]

fy]tpapd] mtrpak] –gad]fs].

myF II 6

Hours

thH]tpay] bewpfs] - mwKk] jdpkdpjbewpfSk]-md]g[- rkhjhdk] –rj]jpak]/ mQpk]ir-

xGf]fk]/bghWik/ rhd]whd]ik -<if/ kdpjcwt[fs] - kdpjcwt[bewpapd] cd]djk]-

rKjhaj]jpd] njitfs]/gpur]ridfs] –rKjhabghWg]g[k] flika[k]-KGikahfthGk]

fiy-thH]tpd] ,yf]Ffs] –tHpKiwfs].

myF III 6 Hours xg]gw]w kfhd]fSk] mth]jk] rpe]jidfSk] - g[[j]jh]/kQhtPuh]/VR/ egpfs] ehafk] -

jpUts]Sth]/ ,uhkyp']fh]/ ,uhkfpU#]zh]/ Rthkptpntfhde]jh]/ kfhj]khfhe]jp.

myF IV 4 Hours

Md]kPfk] - kdpjneak] –kj']fspd] rhuk] - bghJj]jd]ik-cyfyhtpaMd]kPfk].

myFV 7 Hours

kdpjchpik–tiuaiu–kdpjchpikg] ghFghLfs] - thGk] chpik- rkj]jtchpik-

fyhr]rhugz]ghl]L chpik - murpay]/ bghUshjhurKjhachpik-bgz]fs] chpik-

FHe]ijfs] chpik - bgz]fs] tij-bgz]qhpikfhf]Fk] mikg]g[fs] - kdpjchpikf]

fHfk] - ePjpkd]wk] - bgz]fs] chpikg] ghJfhg]g[.

gapw]WbkhHp jkpH] kw]Wk] M']fpyk].

njh]t[ bkhHp jkpH] my]yJ M']fpyk].

ghlE}y] ―thH]tpay] bewpfSk] cyfg] bgUkj';fSk;‖

_ ru!]tjpjpahfuh$hfy]Y}hpbtspaPL . 2004

SEMESTER –II ,s']fiyghlj]jpl]lk]

Part - V kdtsf]fiynahfh

jhs] 1

Credits: 1 Course code: N5BMA4P58-A

Total Instructional Hours: 50

nehf]fk]:khzth]fs]Fzeynkk]ghl]ow]fhdkjpg]g[f]fy]tpmspj]jy] –nahfthH]t[ kw]Wk]

cly]eyk] gw]wpczh]jy] -ew]Fz']fistsh]j]jYk] kw]Wk] jPaFz']fisj]jtph]j]jYk]-

MSikiakjpg]gPL bra]jy].

26

myFI Ez]zwpt[/ czu]r]rp/ vz]zk] Muha]jy] / kw]Wk] Mir rPuikj]jy] 10 Hours

kdmikjp kw]Wk] kdmGj]jj]jpy] czu]tpd] g']F- czu]r]rpapd] tiffs]- ,yf]F

epu]zapj]jy]- jd]dk]gpf]if- epidthw]wypd] tiffs]- epidthw]wiytsh]f]Fk]

Eqf]f']fs]- thH]j]Jk]gaDk]- mz]ikfhybjhHpy] El]g';fisf] ifahSjy].

myFII rpdk] jtph]j]jy]/ btw]wpa[k] njhy]tpa[k] 10 Hrs

rpdk]- rpdj]jpw]fhdfhuz']fs]- rpdKk] mikjpa[k] rpdj]jpd] jPatpist[fs] rfpg]g[j]

jd]ika[k] kd]dpg]g[k]- thH]tpd] rthy]fSk] mtw]iwvjph]bfhs]SjYk]- rthy]fspd]

Mjhu']fs]- btw]wpa[k] njhy]tpa[k] njhy]tpfisr] rkhspj]jy] gpur]rpidfisj] jPh]j]jy]-

KobtLj]jy]

myFIII kdtsKk] kdpjkjpg]g[k] 10 Hours

kdpjthH]tpy] kdjpd] g']F- kdKk] kdtsKk] kdtsj]jpw]fhdfhuzpfs]- kdpj

kjpg]g[ cau]t[- ew]Fz']fs]- mfpk]ircz]ikciuj]]jy]- jpUlhik - Raf]fl]Lg]ghL-

J}a]ik- kdpjFynrit- ehl]Lg]gw]W kdepiwt[-rkj]Jtk]rfpg]g[j]jd]ik- tpl]Lf]bfhLj]jy]

jpahfk]- kd]dpj]jy]- rPh]]ik- neh]ik- fhynkyhz]ik-Ie]bjhGf]fg]gz]ghL.

myFIV ,is"h]ty]yik 10 Hours

tiuaiwrhj]jpaf]TW jw]nghijarKjhaj]jpy],is"u] ty]yikapd] mtrpak]-

thH]f]ifj] jj]Jtk]- thH]tpd] nehf]fk]- fy]tptHp ,is"u] ty]yik- fy]tpapd] nkd]ik-

nahfKk] ,is"u] ty]yika[k].

myF V kdpjclYk; cly; eyKk; 10

Hours

cly; eyk; - cly; eyj;jpd; mtrpak; - kdpjtsjpwd;fs; - kdpjcly; mikg;g[k; ,af;fKk;

- neha;fs; - neha;fspd; fhuz']fs; - neha; jLg;g[ Kiwfs; - Ie;jpd; mst[Kiw–rkr]rPu;

czt[ - cly; eyj;jpw;FCl;lr]rj]jpd; mtrpak; - kUj;JtKiwfs; gw;wpaxUghh]it.

BOOKS REFERENCES:

1. The world order of Holistic unity-ThathuvagnaniVethathiri Maharishi.

2. kdtsf]fiybjhFg]g[- 1- jj]Jt"hdpntjhj]jphpkfhp#p.

3. kdtsf]fiybjhFg]g[- 2- jj]Jt"hdpntjhj]jphpkfhp#p.

4. kdk]-jj]Jt"hdpntjhj]jphpkfhp#p.

5. Standard Progressive Matrices-IC Raveen.

6. 16 personality factor-Raymond Cattell.

7. Multiple Intelligence-Howard Gatgner.

8. Psychology-Robert A. Baron.

9. Advanced Educational Psychology-G.K.Mangal

10. Light on yoga-BKS Iyenger

27

11. czt[ Kiw- jj]Jt"hdpntjhj]jphpkfhp#p

SEMESTER –II ,s']fiyghlj]jpl]lk]

Part -v kdtsf]fiynahfh

jhs] II

Credits: 1 Course code: N5BMA4P58-B

Total Instructional Hours: 50

nehf]fk] :Mir rPuikj]jy]/ rpdk] jtph]j]jy]/ ftiyxHpj]jy] Mfpatw]Wf]fhdmfj]jha]t[

gapw]rpfs] kw]Wk]nahfhrd']fs] fw]Wf]bfhLj][jy] .

myFI !]if nahfhtpd] vspaKiwclw]gapw]rp 12 Hours

1.1 vspaKiwclw]gapw]rp1.2 fhafy]g gapw]rp1.3 gf]Ftkpy]yhghy] <h]g]igeph]tfpj]jy]

myFII jtk]

2.1 jtk] - tpsf]fk]- kdmiyr]RHy] ntfk] – tiffs] 12 Hours

2.2 !]ifapd] bghJ kw]Wk] rpwg]g[j]jt']fs]- Kf]fpaj]Jtk]

2.3 gapw]rpfs]- g[Utikajpahdk] - fUikajpahdk] -jz]LtlRj]jp- jiycr]rpjpahdk]

myFIII vz]zk] Muha]jy] –MirrPuikj]jy] gapw]rpKiw 10

Hours

3.1 epidthw]wy] gapw]rp-vz]zk] Muha]jy] gapw]rp

3.2 MirrPuikj]jy] gapw]rpKiw

myFIV rpdk] jtpu]j]jy] –ftiyxHpj]jy] gapw]rp 10 Hours

4.1 rpdk] jtph]]j]jy] gapw]rpKiw4.2 ftiyxHpf]Fk] jpwk] - gapw]rp

myFV Mrd']fs] 6 Hours

5.1 Nupatzf]fk]5.2 jz]lhrdk] - rf]fuhrdk](gf]fthl]oy])

5.3 jpupnfhzhrdk] - t$]uhrdk] -gj]khrdk]5.4 ehoRj]jp - Kj]jpiufs]

BOOKS REFERENCES

1. vspaKiwclw]gapw]rp-jj]Jt"hdpntjhj]jphpkfhp#p

2. fhafy]gk]- jj]Jt"hdpntjhj]jphpkfhp#p

3. czt[ Kiw - jj]Jt"hdpntjhj]jphpkfhp#p

4. kdk] - jj]Jt"hdpntjhj]jphpkfhp#p

5. jpUf]Fws] –lhf]lh] - $p.a[.nghg].

6. Sound Health through yoga-Dr.Chandrasekaran

7. Light on yoga-BKS.Iyenger

28

SEMESTER- III - \d]whk] gUtk]

gFjp I jkpH] III

Part I Tamil III

jhs; - III

Credits: 3 Course Code : N5BMA3T51-A

Hours Per week: 6 Total Instructional hours: 75

nehf;fk;: fhg;gpa ,yf;fpa';fspd] tHpna r\ftpay;/ murpay;/ khDltpay; Mfpatw]wpd]

rpwg]g[f]fisf] fw;gpj;jy; ,g;ghlj;jpd; nehf;fkhFk;. fhg;gpaj; njhw;wj;jpw;fhd

fhuz';fisa[k; mJ cz;lhf;fpf;fhl;Lk; gz;ghl;L mirt[fisa[k; mwptij

Kf;fpakhff; bfhs;fpwJ.

(,jpfhr';fs;/ fhg]gpa']fs]/ gf;jp ,yf;fpak;/ ,yf;fpa tuyhW - ,jHpay;(jd;Kaw;rp

gog;g[),yf;fzk;)

myF I ,jpfhr';fs;

gh.nt: 17

fk;guhkhazk; - ke;jiu R{H;r;rpg; glyk;

tpy;;ypghujk; - fpUl;ozd; J}Jr; rUf;fk;(njh;t[ bra;ag;gLfpd;w

50 ghly;fs;)

myF II fhg]gpa']fs]

gh.nt:17

rpyg;gjpfhuk; - fdhj; jpwk; ciuj;j fhij kzpnkfiy - rpiwf;nfhl;lk; mwf;nfhl;lkhf;fpa fhij

rPtfrpe;jhkzp - nfhtpe;ijahh; ,yk;gfk;

myFIII gf;jp fhg;gpa';fs; gh.nt: 15

bghpag[uhzk; - jpUePyfz;l ehadhh; g[uhzk;

Fz';Fo k!;jhd; rhfpg[ - jtk] bgw ntz]Lk] vdy] (5 ghly;fs;)

vr].V.fpUl]ozg]gps;is - ,naRfhtpak] – rpYitg]ghLfs]

myFIV ,yf]fpa tuyhW

gh.nt: 12 1. fhg;gpaj;jpd; njhw;wKk; tsh;r;rpa[k;

2.g[uhz';fs; kw]Wk] ,jpfhr';fspd] tsh;epiy

jd;Kaw;rpg; gog;g[ - ,jHpay;

myFV ,yf;fzk;

gh.nt:14

ahg;gpyf;fzk; - bra]a[s; cWg]g[f;fs; - gh – gh tiffs;

jz;oay';fhufhg;gpa ,yf;fzk;

29

ghl E}y]fs]

1. fhg]gpa']fs] - _ ru!;tjp jpahfuh$h fy;Y}hp btspaPL

2015 $^d] btspaPL



kW gjpg]g[ - 1994.

3. ,jHpay] fiy - kh.uh.ngh.FUrhkp

jhad;gfk;

6 tJ bjU/ v.nf.vk;.$p efh;

jpz;Lf;fy; - 624061

ghh;it E}y;fs]

1. jkpH;f;fhg;gpak; - fhrpuh$d;

kJiuf] fhkuhrh] gy]fiy btspaPL.

2. jkpH;f;fhg;gpa';fs; - fp.th.$fe;ehjd;

Ky;iy epiyak;

9/ ghujp efh; Kjy; bjU

jpahfuha efh;

brd;id – 600 017

3. Tj;Jk; rpyk;g[k; - Kidth;. m.mwpt[ek;gp

rpj;jpuk; btspaPL

15/fiythzp efh;

,yhRg; ngl;il

g[Jr;nrhp – 605 008

4.fhg;gpa nehf;fpy; fk;guhkhazk; - Kidth;.m.ghz;Lu';fd;

epa{ br";Rhp g[f; Qt[!;


mk;gj;J}h; / brd;id – 98

5.fk;gdpd; fhl;rpf; nfhy';fs; - lhf;lh;.m."hdRe;juj;juR

jkpH;r;nrhiyg; gjpg;gfk;

14/Kj;Jf;fUg;gdhh; efh;

,uhr nfhghyg[uk;

g[Jf;nfhl;il – 622 003

ghh;it E}y]fs]

1. g"]rje]jpuk] - Kidth;. Jiu Re;jnurd;

n$hjp yl;Rkp gg;spnf#d;!;

24-135 fw;gfk; mbtd;a[

ehd;fhk; bjU

brd;id - 28

gjpg;g[ - 2006.

2. ey]y jkpH] - Kidth.; f. bts;sp kiy

tp$ah gjpg;gfk;

20/ ,uh$ tPjp

nfhit - 1

gjpg;g[ - 2006.

30

SEMESTER- III

PART-I, PAPER-III, HINDI


Credits: 3 Course Code : N5BMA3T51-B


(Poetry, History of Hindi Literature, Alankar)

1. POETRY: KAVYA PRASAR – by Dr.Balanath

Publisher: Jawahar Pusthakalay, Sadar Bazaar, Mathura – U.P. 281 001.

( Pracheen – Kabir, Tulsi, Sur & Meera, Aadhunic – Gupth, Prasad, Panth, Nirala,

Dinakar, Agneya. Samakaleen – Kedarnath Singh, Arunkamal & Kathyayini) SHORT

NOTES ON POETS – Only the above mentioned.

2. HISTORY OF HINDI LITERATURE:

Only Aadi Kaal and Bhakthi Kaal. Only a general knowledge of the trends of the

difference streams.

3. ALANKAR: Anupras, Yamak, Slesh, Vakrokthi Upama, Rupak, Drishtanth & Virodhabas.

Reference Books: Hindi Sahithya Ka Saral Ithihass by Rajnath Sharma,

Vinod Pustak Mandir, Agra – 282 002.

Kavya Pradeep, Rambadri Shukla,

Hindi Bhavan, 36, Tagore Town, Allahabad – 211 002.

Anuvadh ABYAS-III

Dakshin Bharath Hindi Prachar Sabha, Chennai – 17.

SEMESTER- III

PART-I, PAPER-III, MALAYALAM


Credits: 3 Course Code : N5BMA3T51-C


Poetry


Unit I, II & III A part of Ezuthachan‘s Work

Unit IV & V A Khandakavya of Kumaranasan

Text Books Prescribed:

Unit I, II & III Karnnaparvam – Ezuthachan (Poorna Publications, Calicut)

Unit IV & V Veenapoovu-Kumaranasan (D.C. Books, Kottayam)

Reference books:

1. Kavitha Sahithya Charitram – Dr. M. Leelavathi (Kerala Sahithya Academy, Trichur)

2. Kairaliyude Katha –Prof. N. Krishna Pillai (NBS, Kottayam)

3. Kavitha Dwani – Dr. M. Leelavathi (D.C. Books, Kottayam)

4. Aadhunika Sahithyacharithram Prasthanangalilude – Dr. K. M. George (D.C. Books,

Kottayam)

5. Padya Sahithya Charithram – T. M. Chummar (Kerala Sahithya Academy, Trichur)

31

SEMESTER- III

PART-I, PAPER-III, FRENCH


Credits: 3 Course Code : N5BMA3T41-D


Prescribed text : ALORS II

Units : 1 – 5





Tel : 011 – 23852986 / 9650597000

SEMESTER-III

ENGLISH FOR ENRICHMENT – III


Hours Per week: 6 Total Instructional hours- 75

Course Objective: To impart pronunciation and grammar through literature.

Skill Set To Be Acquired

On successful completion of the course, the students should have acquired.

• Mastery in Phonetic Symbol

• Grammar and its usage

UNIT I 15 Hours

Transcription of Phonetic Symbols - Word Stress –

Synonyms and Antonyms Word Formation

UNIT II 15 Hours

Direct and Indirect Narration - Active and Passive Voice

Interchange of Degree of Comparison - Sequence of Tenses – Models

Elements of a Clause

UNIT III 15 Hours

My Lord,the Baby –Rabindranath Tagore

The Two Trees- W.B.Yeats

The Black Cat-Edgar Allen Poe

UNIT IV 15 Hours

Examinations-Winston S.Churchchill

Strange Meeting-Wilfred Owen

The paradise of Thieves-G.K.Chesterton

UNIT V 15 Hours

Letters: Formal and Informal - CVs and Job Applications - Paragraph Writing

Suggested Reading

Essential Language Skills, Board of Editors, Macmillan India Limited, 2007

A Garland of Prose edited by A.K.C.Panikkar, Macmillan India Limited,2008

Early Modern Poetry edited by Sumanyu Satpathy

Twelve Short Stories edited by C.M.Sharma, Oxford University Press,2002

32

SEMESTER III

ANALYTICAL GEOMETRY OF 2 DIMENSIONS AND 3 DIMENSIONS



Course Objective: To train the students on solving Analytical Geometry of 2D&3D.

Skill set to be acquired: After the completion of the course the students will be able to solve the

problems in Analytical Geometry of 2D&3D.

UNIT I 12 Hours

Polar equations: Polar Co-ordinates – Polar equation of a conic – Directrix corresponding to the

pole S – Tracing the conic 𝑙

𝑟= 1 + 𝑒𝑐𝑜𝑠𝜃 -- The equation of the chord of the conic,

𝑙

𝑟= 1 +

𝑒𝑐𝑜𝑠𝜃 joining the points whose vectorial angles are 𝛼 − 𝛽 and 𝛼 + 𝛽 -- The asymptotes of the

conic 𝑙

𝑟= 1 + 𝑒𝑐𝑜𝑠𝜃.

UNIT II 12 Hours A straight line may be determined as the intersection of two planes – Symmetrical form of the

equations of a line – Coplanar lines: The condition that two given straight lines should be

coplanar – The Shortest distance between two given lines -- simple problems.

UNIT III 12 Hours

Sphere – equations of a sphere when the centre and radius are given – The equation 𝑥2 + 𝑦2 +𝑧2 + 2𝑢𝑥 + 2𝑦 + 2𝑤𝑧 + 𝑑 = 0 always represents a sphere and to find its centre and radius –

The length of the tangent from the point (𝑥1, 𝑦1, 𝑧1) to the sphere 𝑥2 + 𝑦2 + 𝑧2 + 2𝑢𝑥 + 2𝑦 +2𝑤𝑧 + 𝑑 = 0 -- Equation of a sphere passing through a given circle -- Intersection of two

spheres is a circle –The equation of the tangent plane to the sphere 𝑥2 + 𝑦2 + 𝑧2 + 2𝑢𝑥 + 2𝑦 +2𝑤𝑧 + 𝑑 = 0 at point (𝑥1, 𝑦1, 𝑧1) --simple problems

UNIT IV 12 Hours Cone: Cone-definition- Right Circular cone-Definition-Derivation of right circular cone-related

simple problems

UNIT V 12 Hours

Cylinder: Definitions – equation of the right circular cylinder with axis 𝑥−𝛼

𝑙=

𝑦−𝛽

𝑚=

𝑧−𝛾

𝑛 and

radius of the guiding circle λ—Enveloping Cylinder : Equation of the enveloping cylinder of the

surface 𝑎𝑥2 + 𝑏𝑦2 + 𝑐𝑧2 = 1 having the generator parallel to 𝑥

𝑙=

𝑦

𝑚=

𝑧

𝑛 - simple problems.

whose generators are parallel to x a

l

y b

m

z c

n

and whose guiding curve is f (x, y, z) = 0 -

problems. Equation of right circular cylinder – bookwork – problems

Text Books:

1. T.Manicavachagompillai, Natarajan, A text book of ―Analytical Geometry ‖ (part-I 2D),

for Unit-I: Page No. 325, 333 to 350)

2. T.Manicavachagompillai, Natarajan, A text book of ―Analytical Geometry of 3D,

Unit-II : Page No. 46, 47, 61 to 66

Unit-III: Page No. 92 to 111

Unit-IV : Page No. 116 to 123

Unit-V : Page No. 136 to 140

Reference Books:

1. P. Duraipandian, Laxmi Duraipandian and D.Muhilan,Analytical Geometry 3

Dimensional Emerald publishers,2004.

2. N.P.Bali,Solid Geometry, Laxmi Publications(P)Ltd, Edition 2004.

33

SEMESTER III

MECHANICS



Course Objective: To teach the students about the nature of forces, resultant forces, resolving

forces, equilibrium condition of forces,motion of projectiles and Collision of elastic bodies.

Skills set to be acquired:After the completion of the course the studentwill be able to solve

problems on forces acting at a point, coplanar forces. Also they will be able to apply the laws of

motion for projectiles, laws of conservetion of momentumand laws of elasticity for colliding

objects.

UNIT I 12 Hours

Forces acting at a point: Parallelogram law of forces (Statement and proof) – Problems -

triangle law of forces , Converse – Statement and proof problem -Polygon law of forces - (λ, μ)

theorem - Proof-Problems – Lami‘s theorem proof – Problems – Resultant of forces acting at a

point proof – Problems.

UNIT II 12 Hours

Parallel Forces: Resultant of two like and unlike parallel forces proof and problems (Cartesian

or Vector treatement) –Moments: Definition of moment of a force about a point – Geometric

meaning- Varignon‘s theorem on moments statement and proof (either Vector or Scalar

treatement )– Related simple problems – Couples.

UNIT III 12 Hours

Co-planar forces acting on a rigid body:Theorem on three co-planar forces – two

trignometrical theorems (statement only) – simple problems- theorem on reduction of any

number of coplanar forces- condition for a system of co-planar forces reduces to a single force

and a couple –alternative condition for a system of forces to reduce to a single force or to a

couple -General conditions of equilibrium – Equation to the line of action of the resultant –

simple problems.

UNIT IV 12 Hours

Projectiles: Definition-The Path of a projectile in a Vacuum in a parabola(with Proof)-

Expression for Greatest height attained by a projectile - Time of flight- The horizontal range –

The Maximum range- For a given u, there are two possible directions of projections so as to

obtain a given horizontal range- Velocity of the projectile at any time t- Velocity at any point p

of a projectile is equal in magnitude to the velocity acquired in falling freely from the directix to

the point (with proof)- Simple problems. Motion on a inclined plane – Range on an inclined

plane – Time of flight on an inclined plane and simple problems.

UNIT V 12 Hours

Collision of elastic bodies :Definition of impulse - Impulsive force, elasticity – perfectly elastic

and perfect inelastic bodies – direct impact – oblique impact – laws of impact (newtons

experiment law and law of conservation of momentum) – discussion of impact of a smooth

sphere on a fixed smooth plane – problems – discussion of direct impact of two smooth spheres –

laws of kinetic energy due to direct impact of 2 smooth sphere – problems – discussion

problems – discussion of oblique impact of 2 smooth spheres - problems.

Textbook:

1. M.K.Venkataraman, Statics, Agasthiar Publications, Trichy, 2004. Unit I, II,III

2. M.K.Venkataraman, Dynamics, 11th

Ed. Agasthiar Publications, Trichy, 1994.Unit IV,V

Referencebook:

1. A.V.Dharmapadam, Statics ,S.Viswanathan Printers and Publishing Pvt., Ltd, 2006.

2. A.V.Dharamapadam , Dynamics, S.Viswanathan Printers and Publishers Pvt., Ltd, Chennai,

2006.

3. K.ViswanathaNaik and M.S.Kasi, Dynamics, Emerald Publishers, 1992.

34

4. P.Duraipandian and LaxmiDuraipandian, Mechanics , S.Chand and Company Ltd, Ram

Nagar, New Delhi -55, 1985.

5.Dr.P.P.Gupta, Statics , KedalNath Ram Nath, Meerut, 1983-84.

SEMESTER III

ACCOUNTANCY - I

Credits : 5 Course Code : N5BMA3T35


Course Objective: To enable the students to learn the Principles and Concepts of Accountancy

Skill sets to be acquired: On Successful Completion of this course, the students are expected to

have a better understanding on the

Concepts and Conventions of Accounting

Basic Accounting framework

UNIT I 15 Hours

Accounting - Definition – Nature and Scope of Accounting – Accounting Cycles, Concepts and

Conventions – Rules – Journal, Ledger and Trial Balance.

UNIT II 15 Hours

Subsidiary books -Various types of Cash Book

UNIT III 15 Hours

Bank Reconciliation Statement- Errors and their Rectification.

UNIT IV 15 Hours

Final accounts of Sole Traders with Adjustments

UNIT V 15 Hours

Bill of exchange (excluding Accommodation Bill) .

Note: The Syllabus will have 20 % Theory and 80 % Problems..

TEXT BOOKS

1. N. Vinayagam, P.L. Mani, K.L. Nagarajan, Principles of Accountancy, Sultan Chand &

Company Ltd, 7361 Ram Nagar, New Delhi – 110 055, Revised Edition 2011


gFjp - IV mog]gilj] jkpH] –I

Part IV Basic Tamil I


Hours per week: 2 Total Instructional hours: 27

nehf;fk; :jkpH; vGj;Jf;fspd; rpwg;g[/ jkpHh] gz]ghL kw]Wk] ,yf]fpa']fis

mwpKfk] bra]jy]/ kly] vGjg] gapw]Wtpj]jy].

myF I jkpH] vGj]Jfs] mwpKfk] gh.nt:06

caph]/ bka]/ caph]bka]/ Ma]jk] –vGj]Jg]gapw]rp kw]Wk]

cr]rhpg]g[

myF II jpiz/ghy]/ vz]/ ,lk]/ fhyk]/ xUik gd]ik/ gh.nt:06

Fwpy]/ beoy] ntWghL

myF III bgah;r;brhy;/ tpidr;brhy; tiffs; gh.nt:03

;

myF IV epWj;jw; Fwpfs; - fhw;g[s;sp/ miug;g[s;sp/ gh.nt:06

Kw;Wg;g[s;sp/ tpag;g[f;Fwp/ tpdhf;Fwp

35

bra;jp thf;fpak;/ tpdh thf;fpak;/ czh;r;rp thf;fpak;

myF V fij kw]Wk] ghly]fs] - bghUs] tpsf]fk] jUjy]. gh.nt:06


gFjp - IV rpwg]g[j]jkpH]]]–I

Part IV Advanced Tamil I

Credits: 2 Course Code : N5BMA3T56-B

Total Instructional hours: 27

nehf;fk; : gy;ntW ,yf;fpa tot';fspd] tHpna thH]tpaiya[k] bkhHpapd]

,dpikiaa[k] czh]j]Jjy].

myF I ,f]fhy ,yf]fpa']fs] – g[Jf]ftpijfs] gh.nt:06

ckhgjp - bfhy]iyg]g[wj]J khJis

Fl]onutjp - mg]ghitg] gw]wpa ,ir

bjd]wy] - Ch]td

gpukps] - tz]zj]Jg] g{r]rpa[k] flYk]

fy]gdh - gwj]jy] mjd] Rje]jpuk]

myF II rpw]wpyf]fpak] gh.nt:03

fyp']fj]Jg] guzp - nga]fisg]ghoaJ.

myF III gf]jp ,yf]fpa']fs] gh.nt:07

ehad]khh] g[uhzk]

ekpee]jp ehadhh] g[uhzk].

Mz]lhs] – ehr]rpahh] jpUbkhHp

Mwhk] jpUbkhHp (Kjy] Ie]J ghly]fs])

myF IV rpWfijj] bjhFg]g[ gh.nt:06

fp.th.$fd]ehjd] - kpl]lha]f]fhud]

mfpyd]] - Kjy] yl]rpak]

Nlhkzp - ehfyp']fkuk]

myF V bkhHp bgah]g]g[/ mYtyff] foj']fs] gh.nt:05

ghh]it E}y]

1. jkpHpy] rpWfij gpwf]fpwJ - rp.R. bry;yg;gh

fhyr;RtL gjpg;gfk;

669 - nf.gp.rhiy/ ehfh;nfhtpy; - 01

SEMESTER-III

NON-MAJOR ELECTIVES 1: ENGLISH FOR COMPETENCY - I

Credit:2 Course Code:N5BMA3T36-C


Course Objective:To prepare students for competitive examination and interviews

Unit I Grammar 6 Hours Number - Subject - Verb Agreement- Articles - Sequence of tenses- Common Errors

36

Unit II Word Power 6 Hours

Idioms and phrases - One word substitutes – Synonyms - Antonyms -Words we often confuse –

Foreign words and phrases - Spelling

Unit III 5 Hours

Reading and Reasoning

Unit IV Writing Skills 5 Hours Paragraph - Précis writing - Expansion of an idea - Report writing - Essay - Letters –

Reviews(Film and Book)

Unit V Speaking 5 Hours

Public speaking - Group Discussion - Interview - Spoken English

Suggested Reading

English for competitive Examination, V. Saraswathi and Maya K. Mudbhatkal, Emerald

Publishers, 2004

SEMESTER- IV-ehd]fhk] gUtk]

gFjp I jkpH] IV

Part I Tamil IV

jhs; - IV

Credits : 3 Course Code : N5BMA4T51-A


nehf;fk;:

r';f ,yf;fpa';fs]/ kug[ epiyf]Fk] thH;f;ifr; R{HYf;Fk; Vw]w brGikfisj;

jUk] bghUz;ikfshf tps']Ftij vLj;Jiuj;jy; ,g;ghlj;jpd; nehf;fkhFk;.

(r';f ,yf;fpak;/ ePjp ,yf;fpak;/ ftpij ehlfk;/ ,yf;fpa tuyhW– Ml;rpg; gzpapay;(jd;

Kaw;rpg; gog;g[); /,yf;fzk; )

myFI r';f ,yf;fpak; gh.nt : 20

gj;Jg;ghl;L - Ky;iyg; ghl;L (KGtJk;)

gjpw;Wg;gj;J - ,uz;lhk; gj;J - g[z; ckpH; FUjp (11)

rhd;nwhh; bka;k;kiw(14)

myFIImw E}y;fs; gh.nt : 20

jpUf;Fws; - 15 Fwl;ghf;fs;

(34/35/138/139/183/418/420/466/467/618/1094/1100/1114/1

120/

1263)

ehyoahh; - 05 ghly;fs;

(94/99/132/134/213)

,dpait ehw;gJ - 05 ghly;fs;

(05/10/22/28/37)

,d;dh ehw;gJ - 05 ghly;fs;

(05/17/19/34/40)

jphpfLfk; - 04 ghly;fs;

(10/15/19/27)

Mrhuf; nfhit - 05 ghly;fs;

(19/23/27/29/32)

gHbkhHpehD}W - 04 ghly;fs;

(12/23/35/38)

\Jiu - 05 ghly;fs;

(07/08/10/12/14)

37

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SEMESTER- IV

PART-I, PAPER-IV, HINDI


Credits : 3 Course Code : N5BMA4T51-B


1. DRAMA: BAKRI

Sarveshwar Dayal Saksena

Publisher : Vani Prakashan New Delhi – 110 002.

2. NOVEL : GABAN - Premchand

VEERENDRA KUMAR MISHRA

Publisher : Rajkamal Prakashan New Delhi.

3. GENERAL ESSAY :

Book for reference :Aadarsh Nibandh Vinodh Pustak Mandir Hospital Road, Agra – 282

002.

4. TRANSLATION: HINDI – ENGLISH only

ANUVADH ABHYAS – III (17-30 Lessons only)

PUBLISHER: Dakshin Bharath Hindi Prachar Sabha, Chennai – 17

SEMESTER- IV

PART-I, PAPER-IV, MALAYALAM


Credits : 3 Course Code : N5BMA4T51-C


Drama & Folklore

This paper comprises the following five units:

Unit I, II & III A Drama

Unit IV & V Folklore

Text Books Prescribed:

Unit I, II & III Lankalakshmi – C. N. Sreekantan Nair (D.C. Books, Kottayam)

Unit IV & V Oru Vadakkanveeragatha – M.T. Vasudevan Nair

(Puthariyamkam, Sahithya Kairali Publications, Bhagavathinada P.O,

Balaramapuram, Trivandrum, 695501)

Reference Books

1. Natyasasthram, K.P. Narayana Pisharodi, Trans. (Kerala Sahithya Akademi,

Thrissur).

2. Malayala Nataka Sahithya Charithram, G. Sankara Pillai (Kerala Sahithya Akademi,

Thrissur).

3. Malayala Nataka Sahithya Charithram, Vayala Vasudevan Pillai (Kerala

Sahithya

Akademi Thrissur).

4. Natakam – Oru Patanam (C. J. Smaraka Prasanga Samithi, Koothattukulam).

39

5. Natakaroopacharcha, Kattumadam Narayanan (NBS, Kottayam)

6. Folklore – Raghavan Payyanadu (Kerala Bhasha Institute, Trivandrum)

SEMESTER- IV

PART-I, PAPER-IV, FRENCH


Credits : 3 Course Code : N5BMA4T41-D


Prescribed text : ALORS II

Units 6 – 10





Tel : 011 – 23852986 / 9650597000

SEMESTER – IV

ENGLISH FOR ENRICHMENT – IV

Credits : 3 Course Code : N5BMA4T52


Course Objective: To expose the students to various genres of literature.

Skill Set To Be Acquired: On successful completion of the course, the students should have

acquired.

• Knowledge about genres of literature

• Confidence to handle practical situation

UNIT I 15 Hours

Pygmalion – G.B. Shaw - Act I & II

UNIT II 15 Hours

Pygmalion – G.B. Shaw - Act III, IV & V

UNIT III 15 Hours

With the Photographer - Stephen Leacock

Indian Weavers- Sarojini Naidu

The Last Leaf- O‘Henry

UNIT IV 15 Hours

A Snake in the Grass –R.K .Narayan

Solitude- Alexander Pope

The Fly- Katherine Mansfield

UNIT V 15 Hours

At School- Mohandas Karamchand Gandhi

40

The sunne Rising-John Donne

The Nightingale and the Rose-Oscar Wilde

Suggested Reading

Pygmalion, G.B. Shaw, Jainco Publishers, Delhi .

Current prose for better learning edited by Vimala Rama Rao,Macmillan India

Limited,2009

Strings of Gold vii edition part I An Anthology of Poems edited byJasbir

Jain,Macmillan India Limited,2008.

Short Stories for all times edited by Dr.R.N.Shukla,Macmillan India Limited,2007.

SEMESTER IV

VECTOR CALCULUS AND FOURIER SERIES



Course Objective:To teach the students about vector differentiation and integration, Fourier

series, Half-range Fourier series and Parseval‘s Theorem.

Skill sets to be acquired:After the completion of the course the student will gain knowledge

about line integral, surface integral and find the RMS value of the given function using

Parseval‘s Theorem.

UNIT I 10 Hours

Derivative of a vector – Derivative of a constant vector – Derivative of 𝑢 ∙ 𝑣 and 𝑢 × 𝑣 –

Velocity vector and Acceleration vector – Definition of∇,∇𝜑, ∇ ∙ 𝑓 , ∇ × 𝑓 , Solenoidal vector,

Irrotational vector – Level surface – Directional derivative and problems – Angle between two

level surfaces -Equation of tangent plane and normal lines.

UNIT II 10 Hours

Formula involving ∇, ∇2 and problems – Definition of line integral – Evaluation of line integral –

Conservative field – Scalar potential – Work done in a conservative field – Surface integral –

Volume integral – Gauss divergence theorem – Verification of Gauss divergence theorem –

Evaluation of surface integral using Gauss divergence theorem.

UNIT III 10 Hours

Green‘s theorem in a plane (statement only) – Finding the area bounded by simple closed curve

‗C‘ using Green‘s theorem – Evaluation of line integral using Green‘s theorem – Stoke‘s

theorem (statement only) – Evaluation of line integral using - Stoke‘s theorem – Verification of

Stoke‘s theorem.

UNIT IV 10 Hours

Fourier Series: Definition of periodic function – Fourier series – Euler‘s formula for Fourier

coefficients – Dirichlet‘s conditions – Obtaining Fourier series of periodicity 2𝜋 and 𝜋 for a

function 𝑓 𝑥 . UNIT V 10 Hours

Half range Fourier Series: Development in Cosine series - Development in Sine series and

problems

Text Book:

1. Dr.P.Kandasamy, K.Thilagavathy, Mathematics for B.Sc Branch–I, S.Chand& Co.,

Edition2005. Volume IV for Unit I, II and III.

2. S.Narayanan & T. K. Manickavachagom Pillai, Calculus Vol III, Viswanathan Printers, 2007

for Unit IV and V

41

Reference Books:

1. J.N. Sharma, A.R. Vasishtha, Vector Calculus, Krishna Prakashan Media (P) Ltd, 2004.

2. Duraipandian , Laxmi Duraipandian, Vector Analysis, Emerald Publishers, Chennai –

2,1986.

3. Advanced Calculus, Robert C. Wrede Murray Spiegel, Tata Mc. Graw Hill, 2002.

SEMESTER- IV

ACCOUNTANCY - II



Course Objective: To provide basic knowledge in Financial Accounting Concepts

Skill sets to be acquired: On Successful completion of this course, the student should

have knowledge in the practical applications of accounting

UNIT I 15 Hours Account cuurent and Average Due Date.

UNIT II 15 Hours Accounting for Consignment and Joint Venture - Branch (Excluding Foreign Branches)

UNIT III 15 Hours Single Entry system – Meaning and Features – Statement of Affairs Method and Conversion

Method

UNIT IV 15 Hours Accounting for Depreciation: Straight line, Written down, Annuity and sinking fund methods

(excluding change of methods)– Reserves and Provisions

UNIT V 15 Hours Departmental Accounts – Transfers at Cost or Selling Price

Note: The Syllabus will have 20 % Theory and 80 % Problems.

TEXT BOOKS

1. R.L.Gupta & M.Radhasamy, Advanced Accountancy, Kalyani Publishers, B-I/1292,

Rajinder Nagar, Ludhiana -141008, Edition – 2009

REFERENCE BOOKS

1. S.P.Jain & K.L.Narang, Advanced Accountancy, Kalyani Publishers, B-I/1292, Rajinder

Nagar, Ludhiana -141008, Edition – 2012

2. M.C.Shukla & T.S.Grewal, Advanced Accountancy, Taxmann Publications, Kapil

Singhania, New Delhi. Edition – 2012

3. T.S.Reddy & A.Murthy, Financial Accounting, Sultan Chand & Company Ltd Ram

Nagar , New Delhi 110 055. Edition – 2012

SEMESTER IV

PROGRAMMING IN C++



Course Objective: To inculcate knowledge on object oriented programming in C++ and

algorithm aspects of graphics.

Skills set to be acquired: To enable the students to acquire the knowledge on the basic concepts

of OOPS using C++.

UNIT I 7 Hours

Introduction to C++: Key concepts of OOP – Advantages of OOP.

I/O in C++: Formatted console IO operations.

42

C++ declarations: Parts of C++ program - Data types in C++ - Type casting - Operators in C++

- Precedence of Operators in C++

UNIT II 7 Hours Control structures: Decision Making Statements: - Nested if else statement- The Switch Case

statement - Loops in C++ - The for Loop – Nested for Loops – The While Loop – The do-while

Loop

Functions in C++: Parts of function - Inline Functions - Function overloading.

UNIT III 7 Hours

Classes and Objects: Declaring objects – The Public Keyword – The Private Keyword – The

Protected Keyword – Defining member functions - Array of objects – friend functions.

Constructors and Destructors: Characteristics – Calling constructor and destructor.

UNIT IV 7 Hours

Operator overloading: Overloading unary, binary operators, Overloading with friend function.

Inheritance: Types of Inheritances - Single Inheritance – Multilevel Inheritance – Multiple

Inheritance – Hierarchical Inheritance – Hybrid Inheritance – Multipath Inheritance - Virtual

base classes – Abstract classes.

UNIT V 7 Hours

Pointers: Pointer Declaration - Pointer to class, object - this pointer.

Arrays: Characteristics of Arrays – Arrays of classes.

Working with Strings: Declaring and initializing string objects – Various String Functions.

Text Book:

Ashok N Kamthane, “Object Oriented Programming with ANSI and Turbo C++”, Pearson

Education Publication, 1st Edition, 2003. (UNIT I, II, III, IV, V)

Reference Book:

E.Balagurusamy, “Object Oriented programming with C++”, TMH Publication, 3rd

Edition,

2006.

SEMESTER IV

PROGRAMMING IN C++ - LAB

Credits: 2 Course Code: N5BMA4P46


1. Program to Find the roots of a quadratic equation using control structures

2. Program for Decimal to binary conversion

3. Program to calculate Factorial of a given number using recursive function.

4. Find the areas of different shapes - circle, square, & rectangle using inline function

5. Program to add two numbers using Class and objects

6. Sum of digits using constructor & destructor

7. Find the Volume of shapes cube, cylinder and rectangular box using function overloading

8. Matrix addition and subtraction using operator overloading

9. Employee salary calculation using inheritance

10. Program for sorting numbers (Ascending and Descending).

11. Program to compare two strings and Concatenate it.

43

SEMESTER- IV - ehd;fhk; gUtk]

gFjp - IV mog]gilj]jkp H;–II

Part IV Basic Tamil II

Credits: 2 Course Code: N5BMA4T57-A


myF I brhw]bghUs] tpsf]fk]. gh.nt:05

kyh]fs]/ fha]fs]/ Ritfs]/gH']fs]/

cly] cWg]g[fs].

myF II brhw]bwhlh] tpsf]fk]. gh.nt:04

(KJbkhHp/ mwp"h]fspd] bjhlh]fs]/

,yf]fpa thpfs]/ cUtf']fs])

myF III jkpHh] gz]ghL gh.nt:06

tpHhf]fs]/ rl']Ffs]/ ehl]Lg]g[wg; gHf]ftHf]f']fs]

mwpKfk].

myF IV jkpH] bra]a[s] ghly]fs] kdg]ghlk] bra]jy] gh.nt:06

Mj]jpr]No/ bfhd]iw nte]jd]/ ghujpahh].

myF V fojk] vGJjy]/ tpy']Ffs] gwitfs] gh.nt:06

Fwpj]J khzth]fis vGj itj]jy].

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kzpthrfh; gjpg;gfk;

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brd;id - 8

SEMESTER- IV - ehd;fhk; gUtk]

gFjp - IV rpwg]g[j]jkpH]]]–II

Part IV Advanced Tamil II

Credits: 2 Course Code: N5BMA4T57-B


myF –I r']f ,yf]fpak; – mfk]] gh.nt:05

ew]wpiz - tpy]yhg]g{tpd] - Re]juj]jdhh]

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mfehD}W - md]dha] thHp - j']fhy] Klf]bfhw]wdhh]

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<vd ,uj]jy] - fiHjpd]ahidahh]

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44

myF III rpyg]gjpfhuk] - fl]Liu fhij gh.nt:06

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(njh]e]j ehd;F fl]Liufs])

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epa{ br"]Rhp g[j]jf epWtdk]/ brd;id.

SEMESTER- IV

GENERAL KNOWLEDGE AND ENGLISH FOR COMPETENCY-II

Credit:2 Course Code:N5BMA4T37-C


Course Objective: To prepare students for competitive examination with general knowledge.

Unit I 6 Hours

Ancient History (before Mughal Period)

Mughal History

British Period

Freedom Struggle

Indian Constitution (Indian Policy)

Unit II 6 Hours

Indian Geography, Indian Economics, Sports and Awards

Unit III 5 Hours Science and Technology

Chemistry, Physics, Botany, Zoology and Environment Studies

Unit IV 5 Hours

Constructing Passages

Comprehension

Unit V 5 Hours

Sentence Completion

Spotting Errors

Suggested Reading

English for Competitive Examination, R. P. Bhatnagar and Rajul Bhargava, Special

Edition Macmillan India Limited, 2007 Renu General Knowledge Book

45

SEMESTER –V

DISCRETE MATHEMATICS


Hours per week: 5 Total Instructional Hours: 60 Course Objective: To teach the students about the discrete structures of Mathematics.


understand the concepts of mathematical logic, relation, grammars.

UNIT I 12 Hours Mathematical Logic – Statements and Notations – Connectives – Negation, Conjunction,

Disjunction, Conditional and Biconditional – Well formed Formulas –Tautology – Equivalence

of Formulas - Duality law – Tautological Implications – Normal Forms – Theory of Inference

for Statement Calculus.

UNIT II 12 Hours Set Theory: Basic Concepts of Set Theory – Notations – Inclusions and Equality of Sets – Some

Operations on Sets – Venn Diagrams – Some Basic Sets Identities.

Relations: Properties of Binary Relations in a Set – Relation matrix and a Graph of a Relation –

Equivalence Relations – Composition of Binary Relations -

UNIT III 12 Hours

Partial Ordering – Poset – Hasse Diagrams – Lattices – Some Properties of Lattices – Lattices as

Algebraic Systems -Sub Lattices – Direct Product and Homomorphism – Some Special Lattices.

UNIT IV 12 Hours Boolean algebra: Definition and Examples – Sub Algebra – Direct Product and

Homomorphism.Boolean Functions:Boolean Forms and Free Boolean algebras – values of

Boolean Expressions and Boolean Functions.

Representation and Minimization of Boolean Functions: Representation of Boolean Functions -

Minimization of Boolean Functions.

UNIT V 12 Hours Mathematical Induction: Principle and problems - Recurrence relation and generating functions:

Introduction, Examples, Recursion, iteration and induction- Recurrence relations- Problems-

Solution of finite order homogeneous relations.

Text Book: J. P.Tremblay R Manohar, Discrete Mathematical Structures with Applications to Computer

Science, McGraw Hill International Edition, 2007.

Unit I : Sections 1.1,1.2(1-2.1,1-2.2,1-2.3,1-2.6,1-2.7, 1-2.8, 1-2.9, 1-2.10, 1-2.11),1.3,1.4

Unit II: Sections 2.1(2-1.1, 2-1.2, 2-1.4 - 2-1.6), 2-3.1 – 2-3.3, 2-3.5, 2-3.6)

Unit III Sections 2-3.8, 2-3.9, 4.1(4-1.1 – 4-1.5)

Unit IV Sections 4-2.1 - 4-4.2

Unit V chapter 4.1,4.2, chapter 5.1,5.3,5.4

Reference Books: Dr. M. K. Venkataraman, Dr. N. Sridharan, N. Chandarasekaran, Discrete Mathematics, The

National Publishing Company Chennai, 2006.

46

SEMESTER V

REAL ANALYSIS – I



Course Objective: This course focuses on the Sequences, Convergence and Divergence series,

Real and Complex number systems, set theory, and point set topology.

Skill sets to be acquired: After the completion of the course the student gains the knowledge

about understanding the behavior of series, sequences and Real number systems.

UNIT I 12 Hours The Real and Complex number systems the field axioms, the order axioms–integers –the unique-

Factorization theorem for integers –Rational numbers –Irrational numbers –Upper bounds,-

maximum Elements, least upper bound –the completeness axiom –some properties of the

supremum–properties of the integers deduced from the completeness axiom- The Archimedian

property of the-real number system –Rational numbers with finite decimal representation of real

numbers –absolute-values and the triangle inequality –the Cauchy-Schwarz, inequality –plus and

minus infinity and the-extended real number system.

Infinite series: Infinite series-Absolute and conditional convergence-Tests for convergence of

series with positive terms-The geometric series-The Ratio test and Root test with simple

problems.

UNIT II 12 Hours Basic notions of a set theory. Notations –ordered pairs –Cartesian product of two sets – Relations

and functions – further terminology concerning functions –one –one functions and inverse –

composite functions –sequences –similar sets-finite and infinite sets –countable and uncountable

sets –uncountability of the real number system –set algebra –countable collection of countable

sets.

UNIT III 12 Hours Elements of point set topology: Euclidean space R

n –open balls and open sets in R

n. The

structure of open Sets in R1 –closed sets and adherent points –The Bolzano –Weierstrass theorem

–the Cantor intersection Theorem.

.UNIT IV 12 Hours

Covering –Lindelof covering theorem –the Heine Borel covering theorem –Compactness in Rn –

Metric Spaces –point set topology in metric spaces –compact subsets of a metric space –

Boundary of a set.

UNIT V 12 Hours

Convergent sequences in a metric space –Cauchy sequences -complete metric Spaces. Limit of a

function –Continuous functions –continuity of composite functions. Continuous complex valued

and vector valued functions.

Text Books:

T.M.Apostol, Mathematical Analysis, 2nd ed., Narosa Publishing Company, Chennai, 1990.

Unit I Chapter 1 -Sections 1.2,1.3, 1.6 to 1.16, 1.18 to 1.20

Chapter 8 -Sections: 8.5, 8.8, 8.10, 8.11, 8.14

Unit II Chapter 2 Sections 2.2 to 2.15

Unit III Chapter 3 Sections 3.2 to 3.9

Unit IV Chapter 3 Sections 3.10 to 3.16

Unit V Chapter 4 Sections 4.2 to 4.5, 4.8 to 4.10

Reference Books:

1. R.R.Goldberg, Methods of Real Analysis, NY, John Wiley, New York 1976.

2. G.F.Simmons, Introduction to Topology and Modern Analysis, McGraw – Hill,

New York, 1963.

47

3.D.Somasundaram and B Choudhary, A first Course in Mathematical Analysis, Naraosa

Publishing House, 5th

Edition, 2010

4.Russell A.Gordon Real Analysis, A First Course Pearson Publications second Edition 2009.

5.S. G. Venkatachalapathy, Real Analysis for B. Sc., Mathematics, Margham Publications,

edition 2009

SEMESTER V

COMPLEX ANALYSIS - I

Credits: 5 Course Code:N5BMA5T53


Course Objective: To teach the students about continuity, Differentiability, analyticity of

functions of complex variables, conformal mappings and complex integration.

Skills set acquired: After the completion of the course the students will understand about

analytic functions, harmonic functions, basic mappings and calculus of residues.

UNIT I 15 Hours

Complex number system, Complex number –Field of Complex numbers – Conjugation –

Absolute value of a complex number -Argument – Elementary transformation i) w =z + 𝛼 ii)

w = az iii) w =1/z - invariance of cross-ratio under bilinear transformation – infinity and

Definition of extended complex plane –Stereographic projection.

UNIT II 15 Hours

Analytic functions: Complex functions- Limit of a function –continuity- Uniform continuity –

differentiability – Analytical function defined in a region – Definition of entire function-

necessary conditions for differentiability –sufficient conditions for differentiability –Cauchy-

Riemann equation in polar coordinates – complex function as a function of z and 𝑧 UNIT III 15 Hours Power Series: Absolute convergence –circle of convergence –Analyticity of the sum of power

series in the Circle of convergence (term term differentiation of a series) Elementary functions :

Exponential, Logarithmic, Trigonometric and Hyperbolic functions.

UNIT IV 15 Hours

Harmonic functions- Conjugate Harmonic functions- Definition and determination, Conformal

Mapping: Isogonal mapping –Conformal mapping-Mapping z⟶f(z), where f is analytic,

particularly the mappings.w = ez ; w = z

1/2; w = sin z ; w =cosz

UNIT V 15Hours Complex Integration: Simply and multiply connected regions in the complex plane.

Integration of f(z) from definition along a curve joining z1 and z2. Proof of Cauchy‘s Theorem

(using Goursat‘s lemma for a simply connected region). Cauchy‘s integral formula for higher

derivatives(statement only)-Morera‘s theorem.

Text Book:

P.Duraipandian , Laxmi Duraipandian and D. Muhilan , Complex Analysis, Emerald Publishers,

Chennai –8,2004.

Unit I Chapter 1 Sections 1.1 to 1.2, 1.6 to 1.9,Chapter 2 Sections 2.1 , 2.2, 2.6 to 2.9,

Chapter 7 Section7.1

Unit II Chapter 4 Sections 4.1 to 4.10

Unit III Chapter 6 Sections 6.1 to 6.11,6.13 (Examples related to 6.1 to 6.11 )

Unit IV Chapter 6 Sections 6.12 to 6.13 (Examples related to 6.12), Chapter 7 Sections 7.5 to

7.9(Examples related to 7.5 to 7.8)

Unit V Chapter 8 Sections 8.1 ,8.2, 8.4 to 8.9

Reference Books:

1. Churchill and Others, Complex Variable and Applications, Tata Mcgraw Hill Publishing

Company Ltd, 1974.

48

2. Santhinarayan , Theory of functions of Complex Variable, S.Chand and Company,

Meerut, 1995.

3. Tyagi B.S. Functions of Complex Variable, 17th Edition, Pragati Prakasham Publishing

Company Ltd, Meerut, 1992-93.

SEMESTER V

MODERN ALGEBRA



Course Objective: To teach the students about groups, cyclic groups, rings and

Homomorphism.

Skills set to be acquired: After thecompletion of course the student will develop skills in

solving problems on groups, sub groups, Normal sub groups, Homomorphism and rings.

UNIT I 15 Hours

Groups: Introduction-Definitions and Examples. Elementary properties of a group- Permutation

groups-sub groups

UNIT II 15 Hours

Cyclic groups- Order of element- Cosets and Lagrange‘s theorem-Normal Sub groups and

quotient groups.

UNIT III 15 Hours

Homomorphism- Isomorphism- Definitions, Examples, theorems, Cayley‘s theorem

automorphism, inner automorphism.

UNIT IV 15 Hours

Rings - Definitions and Examples- Elementary properties of rings- Isomorphism types of rings-

Characteristics of a ring.

UNIT V 15 Hours

Sub rings –Ideals- quotient rings-Maximal and Prime ideals- Homomorphism of a ring.

Text Book:

Dr.S. Arumugam, Prof. A.Thangapandi Isaac, Modern Algebra, Scitech Publication, 2007.

Unit I:Section 3.0-3.2,3.4,3.5

Unit II: Section 3.6-3.9

Unit III: Section 3.10-3.11

Unit IV: Section 4.1-4.5

Unit V: Section 4.6-4.10

Reference Books:

1. Surjeetsingh, QaziZameeruddin, Modern Algebra, Vikas Publishing house, 8th

edition

2006.

2. Seymorelipschutz, Beginning linear Algebra, Tata Mc‘graw hill, 2005.

SEMESTER V

OPERATIONS RESEARCH -I



Course Objectives: To throw light on the Industrial applications of Operations Research.

Skills set to be acquired: After the completion of the course the students will be able to solve

problems on LPP models, Transportation model, and Assignment model.

UNIT I: 7 Hours

Definition of Operations research – Nature and feature of operations research –

Applications of operations research – Opportunities and shortcomings of operations research.

49

L.P.P (Mathematical Formulation) – Introduction –L.P.P - Mathematical Formulation of

the problem – illustrations on mathematical formulation of L.P.P – L.P.P(Graphical solution) –

Introduction – Graphical solution method - problems.

UNIT II: 7 Hours

Simplex method in L.P.P: Introduction – the computational procedure – Big M Method

(or) charnes penalty method.

Unit III: 7 Hours

Duality in L.P.P: Introduction – general primal – dual pair formulating a dual problem,

primal dual pair in matrix form, duality and dual simplex method – problems.

Unit IV: 7 Hours

The Transportation problem: Introduction – Transportation table, Loops in Transportation

table, solution of a transportation problem finding an initial basic feasible solution, optimum

solutions – unbalanced transportation problems – simple problems.

Unit V: 7 Hours

The Assignment problem – Introduction – Mathematical formulation of the problem –

special cases in assignment problems – Optimal solutions – unbalanced assignment problems –

problems.

Text Book:

Kantiswarup, P. K. Gupta, Man Mohan, Operations Research, S.chand& Sons Education

Publications, New Delhi, 2008

UNIT I Chapter 1 Sec: 1.1, 1.3, 1.4, 1.10 to 1.11

Chapter 2 Sec: 2.1, 2.2, 2.3, 2.4, 3.1, 3.2

UNIT II Chapter 4 Sec: 4.1, 4.3, 4.4

UNIT III Chapter 5 Sec: 5.1, 5.2, 5.3, 5.4, 5.7, 5.9

UNIT IV Chapter 10Sec: 10.1, 10.5, 10.6, 10.8, 10.9, 10.13

UNIT V Chapter 11Sec: 11.1, 11.2, 11.4

Reference Books:

1. Premkumargupta, D.S.Hira,Operations Research, S.chand& Sons Education, 2008.

2. Hamdy A. Taha, An Introduction to Operations Research–Pearson‘s Education, 2007.

3. J.K. Sharma, Operations Research–Theory of application, Macmillan India Ltd, 2004.

SEMESTER V

MATHEMATICS FOR COMPETITIVE EXAMINATIONS

Credits: 2 Course code: N5BMA5T57

Hours per week: 4 Total instructional Hours: 50

Course Objective: To train the students on quantitative aptitude and verbal reasoning.

Skill sets to be acquired: After the completion of the course the student will gain confidence

and skill to appear for all competitive examinations conducted by central and state governments.

UNIT I 10 Hours

Numbers

HCF and LCM of Numbers

Averages

Problem on numbers

Problem on ages

UNIT II 10 Hours

Percentage

Profit & Loss

Ration and Proportion

Partnership

50

UNIT III 10 Hours

Time and work

Pipes and Cisterns

Time and distance

Problem on Trains

UNIT IV 10 Hours

Boats and Streams

Allegation or Mixture

Simple Interest

Compound Interest

UNIT V 10 Hours

Permutation and Combination

Data Interpretation:

Bar graphs

Pie charts

Line graphs

Text book:

―Mathematics for Competitive Examinations ‖,Department of Mathematics Sree Saraswathi

Thyagaraja College, Pollachi, 2015.

Reference books:

1. R.S. Aggarwal, Quantitative Aptitude for Competitive Examinations, S. Chand & Company

Ltd, 2012 Edition

2. B. S. Sijwali, Quantitative Aptitude, Arihand Publications (India) PVT LTD, 2007.

3. Abhijit Guha, Quantitative Aptitude for Competitive Examinations, McGraw Hill

Companies, 2006.

SEMESTER VI

REAL ANALYSIS - II



Course Objective: To illustrate the concept of limit, continuity, connectivity, differentiability of

real valued functions and Riemann-Stieltjes integral with examples.

Skill sets to be acquired: After the completion of the course the student gains the knowledge

about understanding the behavior of real valued functions.

UNIT I 12 Hours

Examples of continuous functions –continuity and inverse images of open or closed sets –

functions continuous on compact sets –Topological mappings –Bolzano‘s theorem.

UNIT II 12 Hours

Connectedness –components of a metric space – Uniform continuity : Uniform continuity

and compact sets –fixed point theorem for contractions –monotonic functions.

UNIT III 12 Hours

Definition of derivative –Derivative and continuity –Algebra of derivatives – the chain rule –one

sided derivatives and infinite derivatives –functions with non-zero derivatives –zero derivatives

and local extrema –Rolle‘s theorem –The mean value theorem for derivatives –Taylor‘s formula

with remainder.

51

UNIT IV 12 Hours

Properties of monotonic functions –functions of bounded variation –total Variation –additive

properties of total variation on (a, x) as a function of x – functions of bounded variation

expressed as the difference of increasing functions –continuous functions of bounded variation.

UNIT V 12 Hours

The Riemann - Stieltjes integral : Introduction –Notation –The definition of Riemann –Stieltjes

integral –linear properties –Integration by parts –change of variable in a Riemann –stieltjes

integral – Reduction to a Riemann integral.

Text Book:

1. Tom. M. Apostol, Mathematical Analysis, 2nd ed., Addison-Wisely. Narosa Publishing

Company, Chennai, 1990.

Unit I Chapter 4 Sections 4.11 to 4.15

Unit II Chapter 4 Sections 4.16, 4.17, 4.19, 4.20, 4.21, 4.23

Unit III Chapter 5 Sections 5.2 to 5.10 and 5.12

Unit IV Chapter 6 Sections 6.2 to 6.8

Unit V Chapter 7 Sections 7.1 to 7.7

Reference Books:

1. R.R.Goldberg, Methods of Real Analysis, NY, John Wiley, New York 1976.

2. G.F.Simmons, Introduction to Topology and Modern Analysis, McGraw – Hill, New York,

1963.

3. G.Birkhoff and MacLane, A survey of Modern Algebra, 3rd Edition, Macmillian,

NewYork,1965.

4. J.N.Sharma and A.R.Vasistha, Real Analysis, Krishna Prakashan Media (P) Ltd, 1997.

5. D.Somasundaram and B Choudhary, A first Course in Mathematical Analysis, Naraosa

Publishing House, 5th

Edition, 2010

SEMESTER VI

COMPLEX ANALYSIS II

Credits: 5 Course Code:N5BMA6T52

Hours per week:6 Total instructional hours:75

Course Objective: To teach the students about Singularities, Residues and comlexintegration in

detail.

Skills set acquired: After the completion of the course the student will be able to understand

various theorems on complex integration and evaluate definite integrals using calculus of

Residues.

UNIT I 15 Hours

Results based on Cauchy‘s theorem(I) : Zeros-Cauchy‘s Inequality – Lioville‘s theorem –

Fundamental theorem of algebra –Maximum modulus theorem –Gauss mean value theorem –

Gauss mean value theorem for a harmonic function on a circle , Poisson‘s integral

UNIT II 15Hours

Results based on Cauchy‘s theorem (II) –Taylor‘s series –Laurent‘s series .

UNIT III 15 Hours

Singularities and Residues: Isolated singularities (Removable Singularity, pole and essential

singularity) –Residues –Residue theorem.

UNIT IV 15 Hours

Real definite integrals: Evaluation using the calculus of residues – Integration on the unit

Circle, f(cosθ , sinθ ),0≤ θ ≤ 2π–Integral with - ∞ and + ∞ as lower and upper limits with the

following integrals:

i) P(x) /Q(x) where the degree of Q(x) exceeds that of P(x) at least by 2.

ii) (sin ax ).f(x), (cos ax).f(x), where a>0 and f(z) 0 as z ∞ and f(z) does not have a pole

52

on the real axis.(iii) f(x) where f(z) has a finite number of poles on the real axis.

Integral of the type 𝑥𝑎−1

1−𝑥 and

𝑥𝑎−1

1+𝑥 0< a <1 , 0≤ x ≤ ∞

UNIT V 15 Hours

Meromorphic functions: Theorem on number of zeros minus number of poles –Principle of

argument: Rouche‘s theorem – Fundamental theorem of algebra, Hurwitz‘s theorem – Function

meromorphic in the extended plane.

Text Book:

P.Duraipandian , Laxmi Duraipandian and D. Muhilan , Complex Analysis, Emerald Publishers,

Chennai –8,2004.

Unit I Chapter 8 Sections 8.10, 8.11,8.13 (Examples related to 8.10,8.11)

Unit II Chapter 9 Sections 9.1 to 9.3, 9.13 (Examples related to 9.1 to 9.3)

Unit III Chapter 9 Sections 9.5 to 9.12, 9.13. (Examples related to 9.5to 9.12) Chapter 10

Sections 10.1, 10.2 and 10.4 (Examples related to10.1,10.2)

Unit IV Chapter 10 Sections 10.3 and 10.4 (Examples related to10.3)

Unit V Chapter 11 Sections 11.1 to 11.3 (Omit theorem 11.6)

Reference Books:

1. Churchill and Others, Complex Variable and Applications, Tata Mcgraw Hill Publishing

Company Ltd, 1974.

2. Santhinarayan, Theory of functions of Complex Variable, S.Chand and Company

,Meerut, 1995.

3. Tyagi B.S, Functions of Complex Variable, 17th Edition, Pragati Prakasham Publishing

Company Ltd, Meerut, 1992-93.

SEMESTER VI

LINEAR ALGEBRA


Hours per week: 6 Total Instructional Hours: 75 Course Objective: To teach the students about matrix theory, vector spaces and inner product

spaces.

Skills set to be acquired: After the completion of the course the student will be able to solve

problems on matrices, vector spaces, orthogonality and simultaneous linear equations.

UNIT I 15 Hours

Vector Spaces: Introduction - Definitions and Examples –Sub spaces –linear transformation –

Span of set

UNIT II 15 Hours

Vector Spaces- linear independence- basis &dimensions-Rank&Nullity –Matrix of a linear

transformation

UNIT III 15 Hours

Inner product Spaces: Introduction - Definitions and Examples-Orthogonality-Orthogonal

complement

UNIT IV 15 Hours

Theory of Matrices: Introduction – Algebra of Matrices. Types of Matrices –Inverse of

Matrix-Elementary transformation-Rank of a matrix.

UNIT V 15 Hours

Simultaneous linear equations - Characteristic equations Cayley Hamilton theorem -

Eigen Values & Eigen Vectors.

Text Book:

Dr.S. Arumugam,Prof. A.Thangapandi Isaac, Modern Algebra ,Scitech Publication,2007

Unit I: Sections 5.0-5.4

Unit II: Sections 5.5-5.8

53

Unit III: Sections 6.0-6.3

Unit IV: Sections 7.0-7.5

Unit V: Sections 7.6-7.8

Reference Books:

1. Surjeetsingh, QaziZameeruddin, Modern Algebra, Vikas Publishing house, 8th

edition

2006.

2. Seymorelipschutz, Beginning linear Algebra , Tata Mc‘graw hill, 2005

SEMESTER VI

OPERATIONS RESEARCH II

Credits:2 Course Code: N5BMA6T26


Course Objective: To teach the students to use the mathematical knowledge in optimal use of

resources.

Skills set to be acquired: After the completion of the course the student should have gained

knowledge about optimal use of resources.

UNIT I 7 Hours

Game Theory – Two person zero sum game – The Maximin – Minimax principle – problems-

Games without saddle point(mixed strategies), Graphical solution of (2 x n) and (m x 2) games–

Domination Property– Problems.

UNIT II 7 Hours

Queueing Theory – Introduction – Queueing system – Characteristics of Queueing system –

symbols and Notation – Classifications of queues – Problems in (M/M/1) : (∞/FIFO); (M/M/1)

:(N/FIFO); (M/M/C) : (∞/FIFO); (M/M/C) : (N/FIFO) Models.

UNIT III 7 Hours

Inventory control – Types of inventories –costs associated with inventories –the concept of EOQ

– EOQ Problem with no shortages– Production problem with no shortages – EOQ with shortages

– Production problem with shortages– EOQ with price breaks.

UNIT IV 7 Hours

Introduction–Replacement Model – replacement of equipment that deteriorates gradually –

replacement of equipment that fails suddenly– problems

UNIT V 7 Hours

Network scheduling by PERT / CPM – Introduction – Network and basic components –

Rules of Network construction –Concurrent activities – critical path analysis. PERT – probability

consideration in PERT– distinction between PERT and CPM – Problems.

Text Book:

Kantiswarup, P. K. Gupta, Man Mohan, Operations Research, S.chand& Sons Education

Publications, New Delhi, 2008

Unit I: chapter 17 sections: 17.1-17.2, 17.4-17.7

Unit II: Chapter 21 sections 21.1, 21.2, 21.4, 21.7, 21.9,(Model I,III,V,VI)

Unit III: Chapter 19 19.1,19.2,19.6,19.9-19.12

Unit IV: Chapter 18 18.1-18.3

Unit V: Chapter 25 25.1-25.2,25.4-25.8

Reference Books:

1. Premkumar Gupta, D.S.Hira,Operations Research, S.chand& Sons Education, 2008.

2. Hamdy A. Taha, An Introduction to Operations Research–Pearson‘s Education, 2007.

3. J.K. Sharma, Operations Research–Theory of application, Macmillan India Ltd, 2004.

54

LIST OF ELECTIVES

NUMERICAL METHODS – I



Course Objective: To teach the students to use the methods to solve linear algebraic and

transcendental equations and system of linear equations. Also Interpolation by using finite

difference formulae.

Skills set to be acquired: After the completion of the course the student should have gained the

knowledge about solving the linear equations numerically and finding interpolation by using


UNIT I 12 Hours The solution of numerical algebraic and transcendental Equations: Bisection method – Iteration

Method – RegulaFalsi Method – Newton – Raphson method

UNIT II 12 Hours Solution of simultaneous linear algebraic equations: Gauss elimination method – Gauss Jordan

method –Gauss Jacobi method – Gauss Seidel method

UNIT III 12 Hours Finite Differences: Differences – operators – forward and backward difference tables –

Differences of a polynomial – Factorial polynomial – Error propagation in difference table.

UNIT IV 12 Hours Interpolation (for equal intervals): Newton‘s forward and backward formulae – equidistant terms

with one or more missing values – Central differences and central difference table – Gauss

forward and backward formulae – Stirlings formula.

UNIT V 12 Hours Interpolation (for unequal intervals):Divided differences – Properties – Relations between

divided differences and forward differences – Newton‘s divided differences formula –

Lagrange‘s interpolation formula.

Text Book:

Kandasamy. P, Thilagavathi. K and Gunavathi, K ―Numerical methods‖ – S. Chand and

Company Ltd, New Delhi – Revised Edition 2007. (Chapters: 3,4,5,6,7 and 8).

Unit I: chapter 3 (3.1-3.4)

Unit II: chapter 4(4.1 – 4.9)

Unit III: chapter 5(5.1 – 5.5)

Unit IV: chapter 6,7(6.1 to 6.3 , 6.7, 7.1 to 7.5)

Unit V: chapter 8(8.1 to 8.7)

Reference Books:

1. Venkataraman M. K.,‖Numerical Methods in Science and Engineering‖ National

Publishing company V Edition 1999.

2. SankaraRao K., ―Numerical Methods for Scientists and Engineers‖ 2nd Edition Prentice

Hall India 2004.

AUTOMATA THEORY


Hours per week: 5 Total Instructional Hours: 60 Course Objective: To teach the student about the Formal languages and Automata theory.

55

Skills set to be acquired: After the completion of the course the student will gain knowledge

about Formal Languages, Types of Grammars, Finite State Automata and Regular Expressions.

UNIT I 12 Hours

Formal languages and Grammars: Types of Grammars- Phrase Structure grammars-Regular

Grammars- Context Grammars free and Context sensitive Grammars

UNIT II 12 Hours

Finite state Automata: Deterministic Finite state Automata – Non-deterministic Finite state

Automata- Equivalence of DFA & NFA.

UNIT III 12 Hours

Non-deterministic finite Automata for text search- Finite Automata with transitions –

construction of DFA form - NFA

UNIT IV 12 Hours

Regular Expressions: Construction – DFA to regular Expressions- Regular expressions to -

NFA- The pumping lemma for Regular languages.

UNIT V 12 Hours

Context free grammars and languages- context free language -parse Tree- Recursive

Inferences and Parse trees- Ambiguous Grammar.

Text Book:

1. J. P.Tremblay R Manohar, Discrete Mathematical Structures with Applications to

Computer Science, McGraw Hill International Edition, 2007.(Unit I)

2. Hopcrot and Ullman, Formal Languages and their relation automata, Addison Nesley,

2006.

Reference Books:

1. Rani Sironmoney, Formal languages and automata, Christian Literary Society, Madras,

2000.

2. Dr. N. Murugesan, Principles of Automata Theory and computation, Sahithi Publications,

2004.

NUMERICAL METHODS II


Hours per week: 5 Total Instructional Hours: 60 Course Objective: To teach the students to expose numerical techniques as powerful tool in

scientific computing.

Skills set to be acquired: After the completion of the course the student should have gained the

knowledge about solving the linear equations numerically and finding interpolation by using


UNIT I 12 Hours Numerical differentiations: Newton‘s forward and backward formulae to compute the derivatives

– Derivative using Stirlings formulae – to find maxima and minima of the function given the

tabular values.

UNIT II 12 Hours Numerical Integration: Trapezoidal rule – Simpson‘s 1/3rd and 3/8th rules –Weddle‘s rule

UNIT III 12 Hours Difference Equation: Order and degree of a difference equation – solving homogeneous and non

– homogeneous linear difference equations (to find complementary and particular integral of

f(E).yx =ϕ(x)

UNIT IV 12 Hours Numerical solution of O.D.E (for first order only): Taylor series method – Euler‘s method –

improved and modified Euler method – Runge

Kuttamethod (fourth order RungeKutta method only)

56

UNIT V 12 Hours Numerical solution of O.D.E (for first order only): Milne‘s predictor corrector formulae – Adam-

Bashforth predictor corrector formulae

Text Book:

Kandasamy. P, Thilagavathi. K and Gunavathi.K ―Numerical methods‖ – S. Chand and

Company Ltd, New Delhi – Revised Edition 2007.

(Chapters: 9, 10, 11, Appendix and Appendix E).

Unit I: chapter 9 (9.1-9.4,9.6)

Unit II: chapter 9(9.7, 9.9-9.11, 9.13-9.15)

Unit III: chapter 10(10.1 to 10.4)

Unit IV: chapter 11(11.1,11.5 to 11.7, 11.9,11.12)

Unit V: chapter 11(11.16 to 11.18)

Reference Books:

1. Venkataraman M. K.,‖NumericalMethods in Science and Engineering‖, National Publishing

company V Edition 1999.

2. SankaraRao K., ―Numerical Methods for Scientists and Engineers‖ 2nd Edition Prentice Hall

India 2004

FUZZY MATHEMATICS


Hours per week: 5 Total Instructional Hours: 60 Course objective: To teach the student about Fuzzy sets and Fuzzy Logic.


understand the concept and the applications of Fuzzy Logic.

Unit I 12 Hours

Crisp Sets and Fuzzy Sets: Introduction Crisp sets – The notion of Fuzzy sets – Basic concepts

of Fuzzy sets – Classical logic – Fuzzy logic.

Unit II 12 Hours

Operations on Fuzzy sets: Introduction- Fuzzy Complement – Fuzzy union – Fuzzy intersection

– Combinations of operations - General aggregation operations.

Unit III 12 Hours

Fuzzy Relations: Crisp and Fuzzy relations – Binary relations – Binary relations on a single set -

Equivalence and similarity relations – Compatibility or Tolerance relations – Orderings –

Morphisms - Fuzzy relation equations.

Unit IV 12 Hours

Fuzzy measures: Introduction - Belief and plausibility measures - Probability measures -

Possibility and necessity measures – Relationship among classes of Fuzzy measures.

Unit V 12 Hours

Applications: Natural, life and Social Sciences – Engineering – Medicine – Management and

decision making – Computer science – System science – Other applications.

Text book: George. J.Klir and Tina A. Folger, ―Fuzzy Sets Uncertainty and Information‖ Printice Hall of

India Pvt. Ltd., New Delhi, 2006.

Unit 1 Chapter 1 Sections 1.2 to1.6

Unit 2 Chapter 2 Sections 2.1 to 2.6




57

Reference Books: 1. John Yuan, Reza Langari, Fuzzy Logic Intellegence, Control and Information, Pearson

Education, New Delhi, 1999.

2. M. Amirthavalli, Fuzzy logic and Neural Networks, Scitech Publications Pvt. Ltd, Chennai

and Hyderabad, 2007.

3. Timothy J. Ross, Fuzzy Logic with Engineering Applications, McGraw-Hill INC, New

York, 1996.

NUMBER THEORY


Hours per week: 5 Total Instructional Hours: 60 Course Objective: To teach the students about the properties of number system – Theorems

associated with the Theory of Numbers.

Skills set to be acquired:After the completion of the course the student will able to understand

and apply famous theorems on number theory like Fermat‘s theorem, Wilson‘s theorem, etc.

UNIT I 12 Hours

Divisibility: Divisibility of integer – Division algorithm – Common divisor – Greatest common

divisor– The Euclidean algorithm – To find the HCF of more than two integers – Least common

multiple – Worked examples.

UNIT II 12 Hours

Primes and Composite Number: Definition of Prime, Composite, Twin prime – Euclid‘s theorem

– Unique factorization theorem – To find GCD & LCM of two integers – Positional

representation of on integers – Worked examples.

UNIT III 12 Hours Congruences: Definition – Theorems and worked examples.

Linear congruences: Definition – Theorems and worked examples.

UNIT IV 12 Hours

Theorem of Fermat and Wilson: Introduction – Fermat theorem – another form of Fermat‘s

theorem – Euler‘s extension of Fermat‘s theorem – worked examples – Wilson‘s theorem –

second proof of Wilson‘s theorem – Third proof of Wilson‘s theorem – Converse of Wilson‘s

theorem.

UNIT V 12 Hours

Primitive Roots: Order of 𝑎(𝑚𝑜𝑑 𝑚)– Theorems – Worked examples – Primitive roots –

Theorems – Legendre‘s theorem – Worked examples

Text Book:

Kumaravelu and SuseelaKumaravelu, Elements of Number Theory, Raja sankar offset Printers,

2002.

Unit I : Chapter 3 Page no 45-57

Unit II : Chapter 4 Page no 60-75

Unit III : Chapter 6 Page no 163-174,189-197

Unit IV : Chapter 7 Page no 208-221,228-231

Unit V : Chapter 9 Page no 274-281,283-303

Reference Book:

1. Ivan Nivan and Herbert S. Zuckerman, An introduction to the Theory of Numbers, Third

Edition Wiley Easter Ltd. 1972.

2. David M. Burton, Elementary Number Theory, Second Edition, Universal Book stall, New

Delhi, 1991.

3. T.M Apostol, Introduction to Analytic Number theory, Springer Verlag, 8th

reprint 1998.

58

GRAPH THEORY


Hours per week: 5 Total Instructional Hours: 60 Course Objective: To teach the students about Graph Theory and its applications


understand and apply the concept of graph theory.

UNIT I 12 Hours

Introduction: What is a Graph?- Application of Graph-Definition-Finite and Infinite graphs-

Incidence and Degree-Isolated vertex-Pendant vertex and Null graph.

Paths and Circuits: Isomorphism-Subgraphs-Walks, Paths and Circuits- Connected graphs,

Disconnected graphs and components-Euler graphs.

UNIT II 12 Hours

Trees and Fundamental Circuits: Trees-Some properties of Trees-Pendant vertices in a tree-

Distances and centres in a tree- Rooted and Binary trees- Spanning trees.

UNIT III 12 Hours

Planar and Dual graphs: Combinatorial Vs Geometric graphs-Planar graphs-Kuratowski‘s two

graphs-Different Representation of a Planar graph-Detection of Planarity.

UNIT IV 12 Hours

Matrix Representation of graph: Incidence matrix-Submatrices of A(G)-Circuit matrix-

Fundamental Circuit matrix and Rank of B-Path matrix-Adjacency matrix.

UNIT V 12 Hours

Directed graph:Definition –Some types of digraphs-Digraphs and Binary relations- Directed path

and Connectedness- Matrices A,B&C of Digraphs-Adjacency Matrix of Digraph

Text Book: NarsinghDeo, Graph Theory with applications to engineering and computer science, Prentice

hall of India, New Delhi, 2012.

Unit I : Chapter 1 Sections 1.1 to 1.5

Chapter 2 Sections 2.1,2.2,2.4 to 2.6

Unit II : Chapter 3 Sections 3.1 to 3.5,3.7

Unit III : Chapter 5 Sections 5.1to5.5

Unit IV : Chapter 7 Sections 7.1 to 7.4, 7.8,7.9

Unit V : Chapter 9Sections 9.1 to 9.4, 9.8,9.9

Reference Books:

1. S. Kumaravelu & SusheelaKumaravelu, Graph Theory, JankiCalender Corporation,

Sivakasi, 1999.

2. T. Veerarajan, Discrete Maths with Graph Theory and Combinatorics, Tata McGraw Hill Publishing Company, 2007.

59

------------------------------------------------------------------------------------------------------------

2. Autonomous Examinations

Rules and regulations

60

1.

2. Or Or

3.

4.

EXTRA CREDIT COURSES

5. and

CURRICULUM STRUCTURE OF UG PROGRAMS

(2015 – 16 Batch onwards)

PART - I

PART - II

PART - III

PART - IV

PART - V

Environmental Studies, Value Education and Human Rights

Skill Based Courses / Non – Major Electives

or or or

a) Basic Tamil for New Learners

1. Core:

2. Allied:

3. Electives

English

Extension Activities

a. Tamil b. Hindi c. Malayalam d. French

NSS/ Sports

b) Advanced Tamil

c) English for Competency – I

General Knowledge &

English for Competency -II

Mathematics for Competitive Examinations

Summer Project / Internship

Yoga

61

EXAMINATION SYSTEM UNDER AUTONOMY

1. Pattern of Examinations:

The college follows semester pattern. Each academic year consists of two semesters and

each semester ends with the End Semester Examination. A student should have a minimum of

75% attendance out of 90 working days to become eligible to appear for the examinations.

2. Internal Examinations:

The questions for every examination shall have equal representation from the units of

syllabus covered. The question paper pattern and coverage of syllabus for each of the internal

(CIA) tests are as follows.

First Internal Assessment Test for courses except

Part IV-Non Major Electives (English for Competency – I,

General Knowledge and English for Competency – II)

Syllabus : First Two Units

Working Days : On completion of 30 working days, approximately

Duration : Two Hours

Max. Marks : 50

For the First internal assessment test, the question paper pattern to be followed as given below:

Question Paper Pattern

Section A

Attempt all questions (three each from both units)

06 questions – each carrying one mark 06 X 01 = 06

Multiple Choice

Section B

Attempt all questions (two each from both units)

04 questions – each carrying five marks 04 X 05 = 20

Inbuilt Choice [Either / Or]

Section C

Attempt all questions

(Minimum one question shall be asked from each unit)

03 questions - each carrying eight marks 03 X 08 = 24


(Reduce these marks to a maximum of 05 i.e., (Marks obtained/50) X 5 === A)

Second Internal Assessment Test for courses except

Part IV-Non Major Elective(English for Competency – I,


Syllabus : Third & Fourth Units



62

Max. Marks : 50

For the First internal assessment test, the question paper pattern to be followed as given below:


Section A

Attempt all questions (three each from both units)


Multiple Choice

Section B




Section C





(Reduce these marks to a maximum of 05 i.e., (Marks obtained/50) X 5 === B)

Model Examinations for courses except

Part IV-Non Major Elective:(English for Competency – I,


Syllabus : All Five Units

Working Days : On completion of 85 working days approximately,

Duration : Three Hours

Max. Marks : 75

For the Model Examinations, the question paper pattern to be followed as given below:


Section A



Multiple Choice

Section B





Section C



63



(Reduce these marks to a maximum of 05 i.e., (Marks obtained/75) X 10 === C)

Assignments

Each student is expected to submit at least two assignments per course. The assignment

topics will be allocated by the course teacher. The students are expected to submit the first

assignment before the commencement of first Internal Assessment Test and the second

assignment before the commencement of second Internal Assessment Test. Photo copies will

not be accepted for submission.

Scoring pattern for Assignments

Punctual Submission : 2 Marks

Contents : 4 Marks

Originality/Presentation skill : 4 Marks

Maximum : 10 Marks x 2 Assignments = 20 marks

(Reduce these marks to a maximum of 5 i.e., (Marks obtained / 20) X 5 ====D)

Attendance Mark

Attendance Range Marks

96 % and above - 5 Marks

91 % & up to 95 % - 4 Marks

86% & up to 90 % - 3 Marks

81% & up to 85 % - 2 Marks

From 75 % to 80% - 1 Mark

Maximum - 5 Marks (===== E)

Calculation of Internal Marks for theory courses except

Part IV-Non Major Elective

1. Internal Assessment Test : Average of the two tests.

Reduced to a Maximum of 05 Marks (A+B/2)

2. Model Examination : Reduced to a Maximum of 10 Marks (C)

3. Assignment : Reduced to a Maximum of 05 Marks (D)

64

4. Attendance : Reduced to a Maximum of 05 Marks (E)

__________

Internal marks Score: F = (A +B)/2 + C + D + E = 25 Marks

__________

The calculation procedure of the Internal Marks for courses which have exclusive

internal assessment such as Environmental Studies, etc is in the following pattern.

a. Average of Two Cycle tests - For a maximum of 20 Marks

b. Model Examinations - For a maximum of 25 Marks

c. Attendance Marks - For a maximum of 5 Marks

______

Total - For a maximum of 50 Marks

______

The calculation procedure of internal assessments marks for practical examinations

are based on the following criteria. The assessment is for 40 marks of each practical course.

a. Record - For a maximum of 8 Marks

b. Average of Two Cycle tests - For a maximum of 10 Marks

c. Model Examinations - For a maximum of 10 Marks

d. Average Lab performance - For a maximum of 12 Marks

______


______

The calculation procedure of internal assessments marks for practical examinations

are based on the following criteria. The assessment is for 20 marks of each practical course.


b. Average of Two Cycle tests - For a maximum of 5 Marks

c. Model Examinations - For a maximum of 5 Marks

d. Average Lab performance - For a maximum of 6 Marks

_________


_________

The Internal assessments marks for project evaluation is based on the following

criteria. The assessment is for 40% marks of each project / internship course.

a. I Review - For a maximum of 10%

b. Pre-Final review - For a maximum of 15%

65

c. Final review - For a maximum of 15%

______

Total - For a maximum of 40%

______

Calculation of Internal Marks for “Yoga” For All UG Programmes

I. THEORY

1. Internal Assessment Test : Average of the two tests.

Reduced to a Maximum of 25 Marks (A+B/2)

2. Model Examination : Reduced to a Maximum of 25 Marks (C)

__________

Internal marks Score: D = (A +B)/2 + C = 50 Marks

__________

II. PRACTICAL

1. Kayakalpa : 10 Marks

2. Surya Namashkhar : 10 Marks

3. Physical Exercise : 20 Marks

4. Asanas : 10 Marks

__________

Internal marks Score: E = 50 Marks

__________

Final Internal Marks for Yoga F = (D + E) / 2

Calculation of Exclusive Internal Marks for “Mathematics For Competitive Examinations”

For All UG Programmes

a) Average of two cycle tests – For a maximum of 25 marks

b) Model Examination – For a maximum of 50 marks

c) Assignment marks – For a maximum of 05 marks

d) Attendance marks – For a maximum of 10 marks

e) Unannounced Quiz – For a maximum of 10 marks

Total marks – 100 marks

66

Evaluation system for Part-IV Non Major Elective Course

(English for Competency – I,


The question paper pattern given below shall be followed for Part IV-Non Major

Elective: English for Competency – I. There is no internal mark for this course.

First Internal Assessment Test




Max. Marks : 50


Section A

Attempt all questions (twenty five each from both units)

100 questions – each carrying half mark 50 X 01 = 50

Second Internal Assessment Test

Syllabus : Third and Fourth Units



Max. Marks : 50


Section A



Multiple Choice

Section B




Section C




67


Model Examinations



Examination : Commences any day from 86th

working day to 90th

working day.


Max. Marks : 75


Section A


10 questions – each carrying one mark1 10 X 01 = 10

Multiple Choice

Section B




Section C


05 questions – each carrying eight marks 05 X 08 = 40


The question paper pattern given below shall be followed for Part IV-Non Major

Elective: General Knowledge and English for Competency – II for all UG programs. There

is no internal mark for this course

First Internal Assessment Test




Max. Marks : 50

68


Section A

Attempt all questions (twenty five each from both units)

100 questions – each carrying half mark 50 X 01 = 50

Second Internal Assessment Test

Syllabus : Third and Fourth Units



Max. Marks : 50


Section A

Attempt all questions (from Unit III)

40 questions – each carrying half mark 20 X 01 =20

Multiple Choice

Section B

Attempt all questions (from Unit IV)



Model Examinations



Examination : Commences any day from 86th

working day to 90th

working day.


Max. Marks : 75


Section A

Attempt all questions (from Unit I,II & III)


Multiple Choice

69

Section B

Attempt all questions ( from Unit IV & V)

05 questions – each carrying five marks 07X 05 = 35

3. External Examinations:

The external examinations for theory courses will be conducted for 75 % marks, for all

UG and PG degree programs. The external theory examinations will be conducted only after the

completion of 90 working days in each semester.

Normally, the external practical examinations will be conducted before the

commencement of theory examinations. Under exceptional conditions these examinations may

be conducted after theory examinations are over. The external evaluation will be for 60% marks

of each practical course.

The external viva voce examinations project work / Internship also will be conducted

after the completion of theory examinations. The external assessment is for 60% marks of the

project work / Internship.

End Semester Examination for courses other than

Part IV-Non Major Elective: English for Competency – I &

General Knowledge and English for Competency – II, in UG and Parallel Programs


Working Days : On completion of a minimum of 90 working days.


Max. Marks : 75


Section A



Multiple Choice

Section B





Section C





70

End Semester Examination

Part IV-Non Major Elective: English for Competency – I




Max. Marks : 75


Section A



Multiple Choice

Section B




Section C




End Semester Examination

Part IV-Non Major Elective: General Knowledge and English for Competency – II




Max. Marks : 75


Section A

Attempt all questions (from Unit I,II & III)


Multiple Choice

Section B

Attempt all questions ( from Unit IV & V)

05 questions – each carrying five marks 07X 05 = 35

71

For Practical examination without coding, 60% of External assessment marks can

be distributed in the following pattern.


b. Algorthim (2) - For a maximum of 24 Marks

c. Execution & Output(2) - For a maximum of 24 Marks

__________


__________

For Practical examination with coding, 60% of External assessment marks can be

distributed in the following pattern.


b. Algorthim (2) - For a maximum of 8 Marks

c. Coding(2) - For a maximum of 20Marks

d. Execution & Output(2) - For a maximum of 20 Marks

__________


__________

For Project work / Internship, Evaluation should be done and viva-voce conducted jointly by

external and internal examiners.

Marks for Evaluation - 80% of the total.

Marks for Viva -Voce - 20% of the total.

80% Marks for Evaluation can be distributed as follows

a. Methodology 20%

b. Application Skill/Tools & Techniques/Analysis 25%

c. Logical Presentation and Result/Future enchancement/Suggestion 25%

d. Regularity with Punctuality 10%

4. Essential conditions for the Award of Degree / Diploma / Certificates:

1. Pass in all components of the degree, i.e., Part–I, Part–II, Part–III, Part – IV and Part–V

individually is essential for the award of degree.

2. First class with Distinction and above will be awarded for part III only. Ranking will be based

on marks obtained in Part – III only.

3. GPA (Grade Point Average) will be calculated every semester separately. If a candidate has

arrears in a course, then GPA for that particular course will not be calculated. The CGPA will

be calculated for those candidates who have no arrears at all. The ranking also will be done

for those candidates without arrears only.

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4. The improvement marks will not be taken for calculating the rank. In the case of courses

which lead to extra credits also, they will neither be considered essential for passing the

degree nor will be included for computing ranking, GPA, CGPA etc.

5. The grading will be awarded for the total marks of each course.

6. Fees shall be paid for all arrears courses compulsorily.

7. There is provision for re-totaling and revaluation for UG and PG programmes on payment of

prescribed fees.

5. Classification of Successful Candidates [Course-wise]:

RANGE OF MARKS

(In percent) GRADE POINTS GRADE DESCRIPTION

90 - 100 9.0 - 10.0 O OUTSTANDING

80 - 89 8.0 - 8.9 D+ EXCELLENT

75 - 79 7.5 - 7.9 D DISTINCTION

70 – 74 7.0 - 7.4 A+ VERY GOOD

60 – 69 6.0 - 6.9 A GOOD

50 – 59 5.0 - 5.9 B AVERAGE

40 – 49 # 4.0 - 4.9 C SATISFACTORY

00 – 39 0.0 U RE-APPEAR

ABSENT 0.0 U ABSENT

Reappearance is necessary for those who sCore: below 50% Marks in PG **;

those who sCore: below 40% Marks in UG*;

# only applicable for UG programs

Individual Courses

Ci = Credits earned for course “i” in any semester

Gi = Grade Point obtained for course “I” in any semester

'n' refers to the semester in which such courses were credited.

GRADE POINT AVERAGE [GPA] = ΣCi Gi

ΣCi

Sum of the multiplication of grade points by the credits of the courses

GPA = -------------------------------------------------------------------------------------

Sum of the credits of the courses in a semester

73

6. Classification of Successful Candidates(overall):

CGPA GRADE CLASSIFICATION OF FINAL

RESULT

9.5 to 10.0 O+ First Class - Exemplary *

9.0 and above but below 9.5 O

8.5 and above but below 9.0 D++

First Class with Distinction * 8.0 and above but below 8.5 D+

7.5 and above but below 8.0 D

7.0 and above but below 7.5 A++

First Class 6.5 and above but below 7.0 A+

6.0 and above but below 6.5 A

5.5 and above but below 6.0 B+ Second Class

5.0 and above but below 5.5 B

4.5 and above but below 5.0 C+ # Third Class

4.0 and above but below 4.5 C #

0.0 and above but below 4.0 U Re-appear

―*‖ The candidates who have passed in the first appearance and within the prescribed semester

of the Programme (Major, Allied: and Elective Course alone) are eligible.

―#‖ Only applicable to U.G. Programme

Σn Σi Cni Gni

CUMULATIVE GRADE POINT AVERAGE [CGPA] = ------------------

Σn Σi Cn i

Sum of the multiplication of grade points by the credits

of the entire program

CGPA= -----------------------------------------------------------------------------------------------------

Sum of the Courses of entire Program

In order to get through the examination, each student has to earn the minimum marks

prescribed in the internal (wherever applicable) and external examinations in each of the theory

course, practical course and project viva.

Normally, the ratio between internal and external marks is 25:75. There is no passing

minimum for internal component. The following are the minimum percentage and marks for

passing of each course, at UG and PG levels for external and aggregate is as follows:

S.No Program Passing Minimum in Percent

External (75) Aggregate (100)

1 UG Degree 40% (30) 40% (40)

2 PG Degree 50% (38) 50% (50)

74

However, the passing minimum marks may vary depending up on the maximum marks of

each course. The passing minimum at different levels of marks is given in the following table:

S.

No

UG & PG

Maximum Marks Passing minimum for UG Passing minimum for PG

Int. Ext. Total Int. Ext. Agg. 40% Int. Ext. Agg. 50%

1 25 75 100 - 30 40 - 38 50

2 50 150 200 - 60 80 - 75 100

3 40 60 100 - 24 40 - 30 50

4 80 120 200 - 48 80 - 60 100

5 80 20 100 - 8 40 - 10 50

6 160 40 200 - 16 80 - 20 100

7 15 60 75 - 24 30 - 30 38

8 50 - 50 20 - 20 25 - 25

9 - 50 50 - 20 20 - 25 25

10 - 75 75 0 30 30 - - -

7. Reappearance:

The students having arrears shall appear in the subsequent semester (external)

examinations compulsorily. The candidates may be allowed to write the examination in the same

syllabus for 3 years only. Thereafter, the candidates shall be permitted to write the examination

in the revised / current syllabus depending on various administrative factors. There is no re-

examination for internals.

8. Criteria for Ranking of Students:

1. Marks secured in all the courses will be considered for PG Programs and marks secured in

Core: and Allied: courses (Part-III) will be considered for UG programs, for ranking of

students.

2. Candidate must have passed all courses prescribed chosen / opted in the first attempt itself.

3. Improvement marks will not be considered for ranking but will be considered for

classification.

9.External Examination Grievances Committee:

Those students who have grievances in connection with examinations may represent their

grievances, in writing, to the chairman of examination grievance committee in the prescribed

proforma. The Principal will be chairman of this committee.

75

SREE SARASWATHI THYAGARAJA COLLEGE (AUTONOMOUS)

THIPPAMPATTI, POLLACHI - 642 107

Student Grievance Form

Date:

Place:

From

Register No : ………………………………………......,

Name : ………………………………………......,

Class : …………………………………………...,

Sree Saraswathi Thyagaraja College,

Pollachi – 642 107.

To

The Principal / Examination-in-charge,



Through: 1. Head of the Department,

Department of ……………….……….,



2. Dean of the Department

Faculty of ……………………………….,



Respected Sir / Madam,

Sub: ………………………………………………………………………………... - reg.

NATURE OF GRIEVANCE: ……………………………………………………………………

...…………………….………………………………………………………………………………

………………………………………………………………………………………………………

………………………………………………………………………………………………………

Thanking you,

Yours Truly,

Signature

Forwarded by:

1. HOD with comments / recommendation

………………………………………………………………………………………................

2. Dean with comments / recommendation

………………………………………………………………………………………................

3. Signature and Directions of the Principal

………………………………………………………………………………………................

4. Controller of Examinations:

………………………………………………………………………………………................

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