SREE SARASWATHI THYAGARAJA COLLEGE …stc.ac.in/syllabus/2017-2018/B.Sc_Mathematics.pdfbooks...

1

SREE SARASWATHI THYAGARAJA COLLEGE

(Autonomous) (Affiliated to Bharathiar University, Coimbatore and ISO 9001 Certified and NAAC Accredited Institution

with A grade &

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

Palani Road, Thippampatti, Pollachi - 642 107

Knowledge Wisdom Compassion

Syllabus for B.Sc Mathematics 2017 – 2018 Batch

2

SREE SARASWATHI THYAGARAJA COLLEGE (AUTONOMOUS)

DEPARTMENT OF UG MATHEMATICS

Programme Objectives

To create a high opinion about the branch of Mathematics, as Mother of all Sciences.

To impart sound knowledge fundamental concepts and methods of mathematics.

To impart interdisciplinary skills.

To provide training for the students to get admission in IITs, NIT, and universities to

pursue PG programme.

Programme Outcomes

Knowledge and understanding of axiomatic approaches in pure and applied

mathematics.

Development of Mathematical skills among students.

Student gets the ability to learn independently using a variety of media, including

books Internet and E-resources.

Students motivated to pursue their higher studies in IITs, NIT,Universities in India

and in abroad.

3

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

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

2017-2018 BATCH

BATCH CODE: N7 MEDIUM OF INSTRUCTION: ENGLISH PROGRAMME CODE: BMA

S.

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

1 A

N7BMA1T51 – A/

N7BMA1T51 – B/

N7BMA1T51 – C/

N7BMA1T41 – D

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

French - I

6 3 25 75 100

2 Z N7BMA1T62 I II Language - II English for Enrichment - I 6 3 25 75 100

3 Z N7BMA1T73 I III Core - 1 Foundations of higher Mathematics 5 4 25 75 100

4 Z N7BMA1T74 I III Allied - 1 Theory of Probability 5 5 25 75 100

5 Z N7BMA1T75 II IV Skill Based

Course - 1

Programming In C and Information

Security 3 2 25 75 100

6 Z N7BMA1P76 II IV Skill Based

Course - 2

Lab 1:Programming In C and

Information Security Lab 3 2 20 30 50

7 Z N7BMA1T97 I IV Foundation

Course 1 Environmental Studies

2 2 50 - 50

8 Z I IV Yoga - - - - -

30 21 600

9 A

N7BMA2T51 – A/

N7BMA2T51 – B/

N7BMA2T51 – C/

N7BMA2T41 – D/

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

II / French - II

6 3 25 75 100

10 Z N7BMA2T62 II II Language - II English for Enrichment - II 6 3 25 75 100

11 Z N7BMA2T73 II III Core –2 Advanced Calculus 5 4 25 75 100

12 Z N7BMA2T74 II III Allied - 2 Mathematical Statistics 5 5 25 75 100

13 Z N7BMA2T75 II IV Skill Based

Course – 3 Number Thoery 3 2 25 75 100

14 Z N7BMA2P76 II IV

Skill Based

Course – 4 Lab 2: Statistics Practical using SPSS 3 2 20 30 50

4

15 Z N7BMA2T67 II IV

Foundation

Course 2 Value Education & Human Rights

2 2 50 - 50

16 Z N7BMA2P58 II IV Yoga - 1 50 - 50

30 22 650

S.

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

17 A

N7BMA3T51 – A/

N7BMA3T51 – B/

N7BMA3T51 – C/

N7BMA3T41 – D/

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

- III / French - III 6 3 25 75 100

18 Z N7BMA3T52 III II Language - III English for Enrichment - III 6 3 25 75 100

19 Z N7BMA3T73 III III Core – 3 Classical Algebra and Trigonometry 5 4 25 75 100

20 Z N7BMA3T64 III III Core - 4 Differential Equations and Laplace

transforms 5 5 25 75 100

21 Z N7BMA3T75 III III Allied - 3 Fundamentals of Accounting 6 5 25 75 100

22 A

N7BMA3T56-A

N7BMA3T56-B

N7BMA3T66-C

III IV Non Major

Elective – I

Basic Tamil - I / Advanced Tamil -

I / Basic English for Competitive

Examinations I

2 2 - 75 75

30 22 575

23 A

N7BMA4T51 – A/

N7BMA4T51 – B/

N7BMA4T51 – C/

N7BMA4T41 – D/

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

- IV / French - IV 6 3 25 75 100

24 Z N7BMA4T72 IV II Language - IV English for Enrichment - IV 6 3 25 75 100

25 Z N7BMA4T63 IV III Core - 5 Analytical Geometry of 3-

Dimensions 4 4 25 75 100

26 Z N7BMA4T74 IV III Core - 6 Modern Algebra 6 5 25 75 100

27 Z N7BMA4T75 IV III Allied - 4 Cost & Management Accounting 6 5 25 75 100

28 A

N7BMA4T56-A

N7BMA4T56-B

N7BMA4T66-C

IV IV Non Major

Elective – II

Basic Tamil - II / Advanced Tamil -

II / Basic English for Competitive

Examinations II

2 2 - 75 75

30 22 575

5

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

29 Z N7BMA5T61 V III Core - 7 Discrete Mathematics 5 4 25 75 100

30 Z N7BMA5T72 V III Core - 8 Real Analysis - I 5 5 25 75 100

31 Z N7BMA5T73 V III Core - 9 Complex Analysis - I 6 5 25 75 100

32 Z N7BMA5T74 V III Core - 10 Linear Algebra 6 5 25 75 100

33 A N7BMA5T75-A/

N7BMA5T65-B V III Elective – I

Vector Calculus and Fourier Series /

Automata Theory 5 5 25 75 100

34 Z N7BMA5T66 V IV Skill Based

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

35 N7BMA5T67 V IV Extra credit

course

Mathematics for Competitive

Examinations* 4* 2* 100* - 100*

36 NBMA5P28 V V National Service Scheme/Sports GRADE

30 26 600

37 Z N7BMA6T71 VI III Core - 11 Real Analysis - II 6 5 25 75 100

38 Z N7BMA6T72 VI III Core - 12 Complex Analysis - II 6 5 25 75 100

39 Z NBMA6T73 VI III Core - 13 Mechanics 5 5 25 75 100

40 A N7BMA6T64-A/

N7BMA6T74-B VI III Elective – II

Numerical Methods/ Fuzzy

Mathematics 5 5 25 75 100

41 A N7BMA6T65-A/

N7BMA6T75-B VI III Elective – III Graph Theory/Acturial Mathematics 5 5 25 75 100

42 Z N7BMA6T66 VI IV Skill Based

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

30 27 600

Total 140 + 2* - -

3600+

100*

Note:

* These are courses conducted during the special hours with extra credits, the marks will be converted into grade.

** One credit may be given as extra if a candidate submits a valid certificate from NPTEL

6

CLASSIFICATION OF TOTAL CREDITS

EXPANSION FOR THE TITLES

S. NO TYPE NO. OF COURSES CREDITS

1 Languages 4 12

2 English 4 12

3 Core 13 60

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 Yoga 1 1

11 Extension Activities 1 -

12 Mathematics for Competitive

Examinations

1 2*

Extra Credits 2*

Total Credits 140+2*

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

7

SEMESTER- I - Kjy] gUtk]

gFjpIjkpH]

Part I Tamil

jhs; - I

Credits : 3 Course Code : N7BMA1T51 – A

Hours Per Week : 6 Total Instructional hours- 75

ghl nehf;fk; (Learning Objective) : jkpH] ,yf;fpaj;jpy] cs;s neuoj;jd;ik/ epfH;fhy r\f mirt[fs;/ bkhHp

eil Kjypatw]iw vspjpy] tps';fpf; bfhs]Sk] tifapy] Kjy] gUtj]]Jf]fhd

ghl']fs] bjhpt[ bra]ag]gl]Ls]sd.,d;iwa ,yf;fpa';fs; jUk; gilg;g[

mDgtj;jpd; ePl;rpahfg; bghJf; fl;Liufs;/ ftpij/ rpWfij gilg;gjw;fhd

gapw;rpfisa[k] ,g]ghlj]jpl]lk] tH']FfpwJ.

(ftpijfs;/ rpWfijfs;/ ehty;/ ,yf;fpa tuyhW/ ,yf;fzk;(gapw;rp VL))

myF I ftpijfs] gh.nt:15

ghujpahh; - v']fs] jha]

ghujpjhrd; - eP';fns brhy;Y';fs;

fz;zjhrd; - xU fe]jy] Jzpapd] fij

Koaurd] - be"]R bghWf]Fjpy]iyna

ehkf]fy] ftp"h] - fj;jpapd;wp uj;jkpd;wp

jkpHd;gd; - ts;Sthpd; jha; ,we;j ehspy;

rpw;gp - XL XL r']fpyp

K.nkj]jh - fhy]fshy] ele]j fij

mg]Jy] uFkhd] - mtjhuk;

ituKj]J - ek]gpf]if tpij

jkpHr;rp j';fghz;oad ; - ,Ug;g[

ry]kh - tpyfpg] nghFk] thH]f]ifiQf]Tftpijfs]

myF II rpWfijfs; gh.nt :16

g[Jikg]gpj]jd] - flt[Sk] fe]jrhkpg]gps]isa[k]

F.mHfphprhkp - md]gspg]g[

b$afhe;jd; - ehd; ,Uf;fpnwd;

Mh;.Nlhkzp - njtfp

g{kzp - bjhiyt[

gl;rp - bgj;j tapW

eh"]rpy] ehld] - Noa g{ Nlw]f

re]jpuh - g{idfs] ,y]yhj tPL

myF III ehty; gh.nt :17

K.tujuhrdhh; - fhpj;Jz;L

myF IV ,yf;fpa tuyhW gh.nt : 10

1. ftpij ,yf;fpaj;jpd; njhw;wKk; tsh;r]rpa[k;

2. rpWfijapd; njhw;wKk; tsh;r;rpa[k;

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

myF V ,yf;fzk; gh.nt : 17

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

1. vGj;J khw;wj;jhy; Vw;gLk; gpiHfs;

2. thf;fpa';fspy; Vw;gLk; gpiHfs;

3. ty;ypdk; kpFk;/ kpfh ,l';fs;

4. bky;byGj;J kpFk; ,l';fs;

5. ,yf;fzf; Fwpg;g[

rhpahd brhw;fisf; fz;lwpjy;

ftpij vGJjy;

fojk;/ tpz;zg;gk; tiujy;

8

khzth; bgWk; jpwd; (Learning Outcome) : jkpH; ,yf;fpa';fspy; ,f;fhy tifg;ghLfis mwpe;J bfhs;Sjy; kw;Wk;

ftpij/ rpWfij vGj KaYk; jd;ik. brhw;fisg ;gpiHapd;wp vGj fw;Wf;bfhz;ldh;.

ghl E}y]fs]

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

2015 $^d] gjpg]g[

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

rhfpj]a mfhlkp btspaPL/ g[Jjpy]yp.

kW gjpg]g[ - 1994.

ghh;it E}y]fs]

1.bfh']Fnjh] thH]f]if - ,. ,uh$khh;j;jhz;ld;

a[idl;bll; iul;lh;!;

67 - gPl;lh;!; rhiy

,uhag;ngl;il/ brd;id -14.

Kjy; gjpg;g[ -2003

2.rpWfijapd] njhw]wKk] - rpl]o rptghj Re]juk]

tsh]r]rpa[k] f;hpah gjpg;gfk;

brd;id

Kjy; gjpg;g[ - 1989.

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

fhyr;RtL gjpg;gfk;

ehfh;nfhtpy;.

2007 gjpg;g[.

4. 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.

gjpg;g[ -2006.

SEMESTER- I

PART-I, PAPER-I, HINDI

Credits : 3 Course Code :N7BMA1T51-B

Hours per Week: 6 Total Instructional hours: 75

(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.

9

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 :N7BMA1T51-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)

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 :N7BMA1T41-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: N7BMA1T62

Hours per Week: 6 Total Instructional Hours: 75

Learning Objective

To expose students to the various facets of literature and thereby to enhance them in

comprehending the efficiency of English language.

Unit I ( 15 Hours)

All The World’s A Stage- William Shakespeare

The Last Leaf – O.Henry

10

The Lost Child-Mulk Raj Anand

Parts of speech and sentence pattern.

Unit II (15 Hours)

I’m Getting Old- Robert Kroetsche

The Gift of the Magi-O.Henry

My Greatest Olympic Prize-Jesse Owens

Voices

Unit III (15 Hours)

Gateman’s Gift-R.K.Narayan

The Ant and the Grasshopper-Somerset Maugham

A Poison Tree-William Blake

Narration

Unit IV (15 Hours)

La Belle Dame Sans Merci-John Keats

The Postmaster-Rabindranath Tagore

To An Unborn Pauper Child-Thomas Hardy

Tenses

Unit V (15 Hours)

Refugee Mother And Child- Chinua Achebe

Reading Comprehension

Advertisement

Learning Outcome

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

Text Book:

The Radiant English Anthology, Prof. Gangadhar P.Kudari, Department of English,

J.T.College, Gadag, Macmillan Limited, 2008

Reference Books:

A Book of Modern ShortStories, G.Kumara Pillai, Macmillan Publishers, 1997

Course Prepared by Verified by

English For Enrichment-I B. Abinaya K. Mahalakshmi

SEMESTER I

FOUNDATIONS OF HIGHER MATHEMATICS


Hours per week: 5 Total Instructional Hours: 60

Learning Objective: To lay foundation on basic principle of differential calculus, integral

calculus and differential equation.

UNIT I (12 Hours)

Logarithmic differentiation, differentiation of implicit functions, parametric differentiation

– to find and . Meaning of derivative: Geometric interpretation, meaning of the

sign of the differential coefficient, velocity and acceleration – Maclaurin series for

.

11

UNIT II (12 Hours)

Parial Differentiation: Defintion – problems –Maxima and minima of functions of two

variables. Envelope of plane curves.

UNIT III (12 Hours)

Evaluation of integrals of the form

UNIT IV (12 Hours)

Definite integral, Rule to find Properties of definite integrals (statement

only) – problems (with special focus on odd and even functions) – integration by parts.

UNIT V (12 Hours)

Differential Equation – definition – formation of differential equation – simple problems –

Solving differential equation by variable separable method – solving linear differential

equation of the form where P and Q are functions of x -solving exact

differential equation – simple problems.

Learning Outcome: After the completion of this course the student will acquire the basic

skill to solve problems on differential, integral calculus and concept of differential

equation.

Text book:

1. S.Narayanan and TKM, Calculus Volume I(2011), Vol II (2004), Vol III(2007) ,

S.Viswanathan publishers.

Unit I- Calculus Volume I- Page 49-52 59-60, Page 88-89, Page 102-105,Page 166-

168.

Unit II-Calculus Volume I- Page 180-183, Page 222-231, Page 281-288.

Unit III-Calculus Volume II-Page 14-22, Page 27-30.

Unit IV -Calculus Volume II- Page 4-5, Page 66-78.

Unit V -Calculus Volume III-Page 1-7, Page 15-18, Page 24-30.

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, Enginering Mathematics – I, Dhanam Publications, 2008.

4. P.R. Vittal , V. Malini, “Calculus”, Margham publications, 2009.


Foundations Of Higher Mathematics S. Sasikala K. Sivasamy

SEMESTER I

THEORY OF PROBABILITY



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

random variable and about special probability distributions.

UNIT I (12 Hours) Theory of probability-I: Axiomatic probability- Some theorems on probability- Conditional

probability-Multiplication theorem of probability - Independent events - Multiplication

theorem of probability for Independent events- pair wise independent events - Mutually

independent events-Examples on addition and multiplication theorem of probability - Baye’s

theorem(statement with proof) - related problems.

12

UNIT II (12Hours)

Random variable and Distribution function: Discrete random variable-Probability mass

function - discrete distribution function- problems- Continuous Random Variable:

probability density function- definition - various measures of central tendency, dispersion,

Skewness & Kurtosis for continuous probability distribution - continuous distribution

function- definition - properties- Simple problems.

Mathematical expectation: Definition - Properties of Expectation- Addition theorem of

expectation- multiplication theorem of expectation - properties of variance, definition of

covariance - simple problems.

UNIT III (12 Hours) Two dimensional random variable: Joint probability mass functions- Marginal probability

function, conditional probability function - Marginal distribution function - Joint density

function, Marginal density function - conditional distribution function - conditional

probability density function -Stochastic independence - Simple problems.

UNIT IV (12 Hours) Moment generating function: Definition- properties of MGF- Cumulants - definition &

properties- Chebychevs inequality (statement with proof)- weak law of large numbers -

related problems.

UNIT V (12 Hours) Special discrete probability distributions: Binomial Distribution- MGF of binomial

distributions- additive property -Poisson distribution: Definition-MGF of Poisson

distribution- additive property

Special Continuous probability distribution: Normal distribution – definition – Chief

Characteristic of Normal distribution- Moments of the Normal distribution.

Learning Outcome: After the completion of the course the student will be able to solve

problems on probability and on theoretical distributions

Text Book:

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

2011.

Unit I: Page No. 3.28 to 3.32, 3.42 to 3.45, 3.49 to 3.50, 3.52 to 3.55, 4.4, 4.7 to 4.10

Unit II: Page No. 5.5 to 5.14,5.25 to 5.27,6.2,6.5 to 6.6,6.9 to 6.14

Unit III: Page No. 5.32 to 5.37,5.42 to 5.48

Unit IV: Page No. 7.2 to 7.8, 7.25, 7.27, 7.28, 7.29, 7.32 to 7.34, 7.36 to 7.37

Unit V: Page No. 8.4, 8.15 to 8.16,8.29, 8.33 to 8.34,9.3,9.5 to 9.6, 9.8 to 9.9

Reference Books:

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

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

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

4. John. E. Freund’s , “Mathematical statistics with applications, Dorling Eindersley

Pvt.Ltd, 2014.


Theory of Probability A. Shak Dawood R. Shanmugapriya

13

SEMESTER I

PROGRAMMING IN C & INFORMATION SECURITY


Hours per week:3 Total Instructional Hours: 35

Learning Objectives: To teach the students about the basic structure, statements, arrays,

functions and various concepts of C programming language.

UNIT I (7 Hours)

Overview of C: Importance of C – Sample Program 1: Printing a Message – Simple Program

2: Adding Two Numbers. Basic Structure of C Programs – Programming Style – Executing a

‘C’ Program (Chapter 1)

Constants, Variables, and Data Types: Introduction – Character set – C Tokens –

Keywords and Identifiers – Constants – Variables – Data Types – Declaration of Variables –

Declaration of Storage Class. (Chapter 2)

Operators and Expressions: Introduction – Arithmetic Operators – Relational Operators –

Logical Operators – Assignment Operators – Increment and Decrement Operators –

Conditional Operator – Bitwise Operators – Special Operators – Arithmetic Expressions –

Precedence of Arithmetic Operators (Chapter 3)

UNIT II (7 Hours)

Decision Making and Branching: Introduction – Decision Making with IF Statement –

Simple IF Statement – The IF….ELSE Statement – Nesting of IF….ELSE Statements – The

ELSE IF Ladder – The Switch Statement. (Chapter 5)

Decision Making and Looping: Introduction – The WHILE Statement – The DO Statement

– The FOR Statement – Jumps in LOOPS. (Chapter 6)

Arrays: Introduction – One Dimensional Arrays – Declarations of One Dimensional Arrays

– Initialization of One Dimensional Arrays – Two Dimensional Arrays – Initializing Two

Dimensional Arrays – Multi Dimensional Arrays. (Chapter 7)

UNIT III (7 Hours)

Character Arrays and Strings: Introduction – Declaring and Initializing String Variables –

Reading Strings from Terminal – Writing Strings to Screen – Arithmetic Operations on

Characters – Putting Strings Together – Comparison of Two Strings – String handling

Functions. (Chapter 8)

User – defined Functions: Introduction. Elements of User defined Functions – Definition of

Functions – Return Values and their Types – Function Calls – Function Declaration –

Category of Functions. Nesting of Functions – Recursion.Passing Arrays to Functions –

Passing Strings to Functions.

UNIT IV (7 Hours)

File Management in C: Introduction – Defining and Opening a File – Closing a File – Input

/Output Operations on Files – Error Handling During I/O Operations – Random Access to

Files – Command Line Arguments (Chapter 12)

UNIT V (7 Hours)

Security Problem in Computing:Attacks-The meaning of computer security: Security

Goals-Confidentiality-Integrity-Availablity-Vulnerabilities- Cryptography: Introduction -

Terminology and Background: Terminology-Encryption Algorithm-Substitution Ciphers:

The Caesar Cipher-Advantages and Disadvantages of the Caesar Cipher-Cryptanalysis of the

Caesar Cipher-Other Substitutions-Complexity of Substitution Encryption and Decryption-

Cryptanalysis of Substitution Ciphers-One-Time Pads-Long Random Number Sequences-The

Vernam Cipher-Book Ciphers-Transpositions(Permutations):Columnar Transpositions-

Making “GOOD” Encryption Algorithms: What makes a “Secure” Encryption

Algorithm?-Shannon’s Characteristics of “Good” Ciphers.

14

Learning Outcome: On successful completion of the course, the student will be able to write

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

functions

Text Book:

1. E. Balagurusamy, “Programming in ANSI C”, Tata MvGrawHill Publishing, Fourth

Edition, 2008.

2. Charles P Pfleeger, and Shai, Lawrence Pfleeger, “Security in Computing”, 4th

Edition, Prentice Hall 2007

Reference Books

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

Publication, 5th Edition.

2. Yashvant Kanetkar, “Let Us C”, BPB Publication, 13th Edition, 2013.

3. Ashok N. Kamthane, “C Programming”, ITL Education Solution Limited, Pearson

Education, 2013 Edition.

4. William Stallings, “Cryptography and Network Security – Principles and Practice”,

Pearson Education, 2014, Sixth Edition.


Programming In C& Information Security S. Sudha R. Gunavathi

SEMESTER I

PROGRAMMING IN C& INFORMATION SECURITY LAB

(PRACTICAL)

Credits: 2 Course Code: N7BMA1P76


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).

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.


Programming In C& Information

Security (Practicals)

S. Sudha R. Gunavathi

15

SEMESTER – I

ENVIRONMENTAL STUDIES

Credits : 2 Course Code :N7BMA1T97


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

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.

16

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.

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]

gFjpI jkpH] II

Part I Tamil II

jhs; - II

Credits : 3 Course Code :N7BMA2T51-A


ghl nehf;fk; (Learning Objective) : 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) )

17

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)

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 (5/6tJ 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;

18

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;

3. gpwbkhHpr; brhw;fis ePf;Fjy;

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

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

6. bkhHpbgah;g;g[

7. rpWfij vGJjy;

khzth; bgWk; jpwd; (Learning Outcome) : r';f ,yf;fpa';fs; kw;Wk; rpw;wpyf;fpa';fs; gw;wp mwpfpd;wdh;. gf;jp

,yf;fpa'fs;/ rpj;jh; ghly;fs;/ ciueilfs; Mfpatw;wpYs;s ,yf;fpa MSikfis

czh;fpd;wdh;. bkhHpbgah;g;gpd; ,f;fhy njitfis bjhpe;Jbfhs;fpd;wdh;.

thf;fpaj;ijg; gpiH ePf;fj;ij fw;Wf;bfhz;ldh;.

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.

2.e.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.gf;jp ,yf;fpak; - g. mUzhryk;

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

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

5. 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.

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




gjpg;g[ -2006.


Tamil-II Dr. J. Sairabanu Dr. S. Rajalatha

19

SEMESTER- II

PART-I, PAPER-II, HINDI

Credits : 3 Course Code :N7BMA2T51-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 :N7BMA2T51-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)

SEMESTER- II

PART-I, PAPER-II, FRENCH

Credits : 3 Course Code :N7BMA2T41-D


Prescribed text : ALORS I

Units : 6 – 10





Tel : 011 – 23852986 / 9650597000

20

SEMESTER- II

ENGLISH FOR ENRICHMENT-II

Credit :3 Course Code :N7BMA 2T62

Hours per Week: 6 Total Instruction Hours: 75

Learning Objective

To enable the students in understanding the intrinsic nuances of English language.

Unit-I (15 Hours)

The Conjurer’s Revenge-Stephen Leacock

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)

The Village Schoolmaster-Oliver Goldsmith

The Stolen Boat Ride – William Wordsworth

Sita-Toru dutt

Unit-IV (15 Hours)

I Have a Dream-Martin Luther King

Sorrows of Childhood – Charles Chaplin

At School – M.K. Gandhi

Unit-V (15 Hours)

Letter Writing

Precis Writing

Hints Developing

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

• Improved Communication Skills

• Confidence to deal with real life situation.

Text Book:

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

English. JBAS College, Chennai. Macmillan 2007.


English For Enrichment-II I. Indusoodan K. Mahalakshmi

SEMESTER II

ADVANCED CALCULUS



Learning Objective: To teach the students about curvature, radius of curvature, evolutes,

different types of integrations, multiple integral, Jacobians , Beta and Gamma functions.

UNIT I (12 Hours) Curvature – Radius of Curvature - Cartesian formula for ρ - derivation and problem – Radius

of curvature in polar form and pedal form (no derivations) and related problems.

UNIT II (12 Hours) Circle of curvature-centre of curvature-derivations and problems, evolute –definitions and

evolute of parabola and ellipse.

21

UNIT III (12 Hours)

Evaluation of Integrals of the form ∫dx/ [( lx+m ) / ] dx ,

dx / (a+bcosx) – Reduction formula for sinnx dx, cosnx dx .

UNIT IV (12 Hours)

Multiple integrals – Definition-Evaluation of double integrals in Cartesian - Evaluation of

Double integral polar coordinates –evaluation of area of circle x2+y2 = a2, r =a(1+cos )

-Jacobian definition and properties (statement only)- Transformation from Cartesian to polar

coordinates - Transformation from Cartesian to Spherical coordinates-simple problems.

UNIT V (12 Hours)

Beta Gamma Functions:– definitions - Recurrence formula for Gamma functions –

Properties of Beta functions – Relation of Beta and Gamma functions-applications of Gamma

function to multiple integrals.

Learning Outcome: After the completion of the course the student gains knowledge about

the application of Differential and Integral Calculus at higher level.

Text Book:

S. Narayanan and T.K.M. Pillai, Calculus Vol I(2011) and Vol II(2007), Viswanathan

Publishers, 2007.

Unit I – Calculus Volume I Page 291 to 301, Page 309 – 316.

Unit II- Calculus Volume I Page 303-308 .

Unit III – Calculus Volume II Page 42-46, Page 62 – 64, Page 81- 84, Unit IV- Calculus

Volume II Page 203-208 ,0-211,Page 215-217, Page 251-252, Page 259- 264.

Unit V -Calculus Volume II Page 278- 297.

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. P.R.Vittal, V. Malini, Calculus, Margham publications, 2004.

4. S. Narayanan and T.K.M. Pillai, Calculus, S.Viswanathan Publishers Pvt. Ltd, 2003.


Advanced Calculus K. Soundari K. Sivasamy

SEMESTER II

MATHEMATICAL STATISTICS



Learning Objective: To teach the students about the concept of estimators, applications of

large sample, chi – square test.

UNIT I (12 Hours) Correlation: Meaning of correlation - scatter diagram - Karl Pearson coefficient of

correlation - Properties of correlation coefficient (Statement Only) -Limits for correlation

coefficient , Calculation of Correlation for Bivarite distribution, Rank Correlation -

Spearman’s formula for Correlation Coefficient - related problems.

Linear Curve & Linear Regression: Definition - Linear regression- Equations of regression

lines, regression coefficients (Statement Only)- Angle between two lines of regression-related

problems.

22

UNIT II (12 Hours)

Statistical Inference I(Theory of Estimation): Definition of an estimator of 𝜭 -

Characteristic of estimator - Unbiasedness - Consistency - Sufficient condition for

Consistency(Statement only) - Efficiency ,Most efficient estimator- related problems -

Factorisation Theorem(Neymann) - Simple problems.

UNIT III (12 Hours)

Cramer Rao Inequality (With proof) - Methods of estimation: MVB estimators - Simple

Problems - Method of maximum likelihood estimation - Method of moment - Simple

Problems.

UNIT IV (12 Hours)

Statistical Inference II: Statistical Hypothesis- Simple And Composite,Test of a Statistical

Hypothesis - Null hypothesis, Alternative hypotheses, critical region - Two types of Errors -

level of significance, Power of the test - Neymann Pearson’s Lemma- Simple Problems.

UNIT V (12 Hours) Large Sample Theory: Parameter and Statistic - One tail - Two tails Test - sampling

distributions for a statistic - standard error - large sample test for significance- (a) single

proportion (b) difference of proportion (c) single mean - difference of mean - only problems.

Exact Sampling distribution:‘t’ distribution - t test for single mean , difference of mean -

only problems. distribution: To test association between attributes contingency

table only)- related problems.

Learning Outcome: After the completion of the course the student will be able to understand

the characteristic of an ideal estimator, different methods of estimation, application of

correlation and regression lines, application of large sample test, “t” test and chi- square real

life prolems.

Text Books:

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

Sons, 2002.

UNIT I : Page No:10.2 to 10.7, 10.23,10.25 to 10.27,11.2 to 11.3,11.5 to 11.7.11.10 to

11.11

UNIT II : Page No: 17.2 to 17.8,17.15 to 17.17

UNIT III : Page No: 17.18 to 17.19, 17.30 to 17.33,17.43 to 17.45

UNIT IV : Page No: 18.2 to 18.9,18.11 to 18.12

UNIT V : Page No: 14.4 to 14.5,14.11 to 14.13,14.15 to 14.21,14.25 to 14.26,14.30 to

14.33,16.12 to 16.20, 15.31 to 15.35

Reference Books:

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

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

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

4. John. E. Freund’s , “Mathematical statistics with applications, Dorling Eindersley

Pvt.Ltd, 2014.


Mathematical Statistics A. Shak Dawood A. Palanisamy

23

SEMESTER II

NUMBER THEORY


Hours per week: 3 Total Instructional Hours: 35 Learning Objective: To teach the students about the properties of number system –

Theorems associated with the Theory of Numbers.

UNIT I (7 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 (7 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 (7 Hours)

Congruences: Definition – Theorems and worked examples.

UNIT IV (7 Hours)

Theorem of Fermat and Wilson: Introduction – Fermat theorem – another form of Fermat’s

theorem – Euler’s extension of Fermat’s theorem – worked examples

UNIT V (7 Hours)

Primitive Roots: Order of – Theorems – Worked examples.

Learning Outcome: 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.

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

Unit IV : Chapter 7 Page no 208-221

Unit V : Chapter 9 Page no 274-281

Reference Books:

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.

4. Kenneth H.Rosen, Momentory Number Theory Applications, Addition-Wesely

Publications company,1993


Number Theory S. Sasikala R. Uma

24

SEMESTER II

STATISTICS PRACTICAL USING SPSS LAB

Credits: 2 Course Code: N7BMA2P76


1.Using SPSS Find out Correlation coefficient for the variables, age (years) and blood

pressure (mmHg) in man.

2. Using SPSS Compute Spearman rank correlation coefficient on academic achievement and

family income.

3. Using SPSS Calculate Karl-Pearson correlation between the ages of Husbands and Wives.

4. Using SPSS Evaluate the impact of Demonstration in saving.

5. Using SPSS Find the best fit linear relationship of transit time on distance.

6. Using SPSS Find whether there is association between gender and blood group.

7. Using SPSS Compare between Observe frequency and Expected frequency

8. Using SPSSEvaluate the efficiency of the supplementary diet in increasing Hemoglobin

(gm) level.


Statistics Practical using SPSS A. Palanisamy R. Senthil Amutha

SEMESTER- II

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

Credits :2 Course Code : N7BMA2T67

Hours per week:2 Total Instructional hours- 30

ghl nehf;fk; (Learning Objective) :

fy]tpapd] cd]dj nehf]fj]ija[k] thH]tpay] bewpfisa[k] fw]gpj]jy] – ehl]od]

Rje]jpu nghuhl]l tuyhw]iw fw]gpj]J njrpa eydpy] tpHpg]g[zh]ita[k] njrg]gw]iwa[k]

Vw]gLj]Jjy] - ,e]jpa murpay] rl]lj]ija[k] kdpj chpika[k] bjhpe]j ey]y

Fokfdhf]Fjy].

myF– 1 (gh.nt - 6])

fy]tp–tiuaiu - fy]tpapd] nehf]fk]- thH]tpay] bewpfs] – FLk]g cwtpd] cd]djk]/

fyhr]rhuj]jpd] mtrpak]/ rKjhaj]jpy] jdp kdpjdpd] g']F/ KGikahf thGk]fiy.

myF - 2 (gh.nt - 6]) ,e;jpah Rje;jpu nghuhl;l tuyhW - fpHf;fpe;jpa fk;bgdp Ml;rp 1757 - 1858 - fk;bgdpapd;

td;Kiw bfhLikfs; - gphpl;o#; murpd; neuo Ml;rp - rpg;gha; fyfk; - ,e;jpah;fspd;

g[ul;rpg; nghuhl;lk; - $hypad; thyh ghQ; gLbfhiy - kf;fs; xj;JiHahik ,af;fk;.

Fwpg;g[ tiujy; :neU/ gnly;/ Rgh#; re;jpungh#;/ th.c.rp./ gfj]rp']

myF– 3 (gh.nt - 6]) ,e;jpa murpay; rl;lk; - njhw;wKk; mtrpaKk; - ,e;jpaf; Foa[hpik - rk chpik -

Rje;jpu chpik - fiy/ fy;tp chpik - brhj;Jhpik - ,e;jpad; xt;bthUthpd; mog;gilf;

flikfs;/ chpikfSk]/ rl]l']fSk].

myF– 4 (gh.nt - 6])

fhe]jpar]rpe]jidfs] - fhe]jpa[k] rj]jpahfpuf bfhs]ifa[k]/ rh]nthjak] – mh]j]jKk]

tpsf]fKk]/ khzth]fSf]F tpntfhde]jhpd] bewpfs]/ mg]Jy]fyhKk] khzth]fSk].

myF 5 (gh.nt - 6])

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

fyhr]rhugz]ghl]L chpik - murpay]/ bghUshjhuchpik-bgz]fs] chpik- FHe]ijfs]

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

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

25

khzth; bgWk; jpwd; (Learning Outcome) : khzth;fs; fy]tpapd; Kf;fpaj;Jtk;/ Rje;jpug;nghuhl;lj;jpd; kfj;Jtk;/ murpay;

rl;lfs; kw;Wk; kdpj chpikfs; Mfpatw;iw czh;e;J bfhz;ldh;.

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

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

ghlE}y] - mwtpay] fy]tpa[k] kdpj thH]tpaYk] _ ru!]tjp jpahfuh$h fy]Y}hp btspaPL . 2017

ghh;it E}y]fs]

1. bgz; tuyhWk; tpLjiyf;fhd nghuhl;lKk; - nguhrphpah;.g.R.re;jpughg[

-Kidth; ,y.jpyftjp

ghujp g[j;jf epiyak;

421/ mz;zhrhiy/

njdhk;ngl;il/ brd;id -18.

Kjw;gjpg;g[ - 2011

2. kfhj;kh fhe;jp E}y;fs; - fhe;jp E}y; btspaPl;Lf; fHfk;

mfpk;rh jUkk; th;j;jkhdd; gjpg;gfk;

21/ ,uhkfpU#;zh bjU/

jpahfuha efh;/ brd;id - 17.

VHhk; gjpg;g[ -2014

3. ,e;jpa tpLjiyg; nghuhl;l tuyhW - lhf;lh; f.bt';fnlrd;

n$.n$.gg;spnfrd;!;

29/ fw;gf tpehafh; fhk;gpsf;!;/

nf.g[J}h;/ kJiu.

kWgjpg;g[ -2002.

4. KGikahf thGk; fiy - K.nrl;L

ru!]tjp jpahfuh$h fy]Y}hp

btspaPL . 2008.

Course Prepared by Verified by mwtpay] fy]tpa[k]

kdpjchpika[k] Mr. R. Padmanapan Dr. S. Rajalatha

SEMESTER- II

Part -IV

Value Education and Human Rights Credits: 2 Course Code: N7BMA2T67

Total Instructional hours- 30 Objective: To teach the students the lofty ideals of education and the importance of

the values of life.

Unit-I (6 Hours) Education – Definition –The purpose of education – Important values of life – The excellence

of family and family relations – The significance and the necessity of culture – The role of

individual in a society – The art of complete life.

Unit-II (6 Hours)

History of Indian freedom struggle – East India Company and its rule in India 1757 -1858 –

Its unlawful practices and atrocities – Direct rule by British Government – Sepoy mutiny –

Indians revolt against British Raj – The massacre of Jallionwalah Bagh – Indians’ non-

cooperation movement.

Short notes: Pandit Jawaharlal Nehru, Patel, Subash Chandra Bose,V.O.Champarmpillai,

Baghat Sing.

26

Unit-III (6 Hours)

Indian Constitution – The birth and the significance of Indian Constitution –

Indian citizenship – Equality of rights – The right to freedom – Right to arts, culture and

education –Right to property – Basic responsibilities of every Indian – The rights and the

Acts concerned.

Unit-IV (6 Hours)

Gandhian thoughts – Gandhi and his principle of Sathyagraha – Sarvodhaya – concept and

meaning – Swami Vivekananda and his teachings to the students – Dr. Abdul Kalam and the

students.

Unit-V (6 Hours)

Human rights – Definition – Classification of human rights – Rights to live – Rights to

Equality – Traditional and cultural rights – Social, political and economic rights – Rights of

women – Rights of children – Exploitation and cruelty to women – Organisation protecting

women’s rights – Human rights organisations – Courts of justice – Safety of women rights.

Learning Outcome: Students understood the importance of education, The greatness of

freedom struggle, constitution and human rights.

Medium of instruction : Tamil and English

Medium of Examination : Tamil and English

Reference:

Ethics of life and the Great Religions of the world

Publication of Sree SaraswathiThyagaraja College – 2016.

Reference Books:

1.Pen varalarum viduthalaikana poratamum - Pro.P.S.Santhirababu

Dr L.Thilagavathi

Bharathi Buthaga nilayam

421, Anna street

Thenampettai, Chennai -18.

Muthl pathippu - 2011.

2. Mahathma Gandhi Books - Gandhi Nool Vellietuk kalagam.

Agimsai Dharumam Varthamanan Pathippagam

21, Ramakrishna Street,

Thiyagaraya Nagar, Chennai - 17

7th Pathippu -2014

3. Inthiya viduthalai poratta varalaru - Dr K.Vengatesh

J.J.Publications

29, Karpaga vinayagar complex

K.Puthur, Madurai.

Marupathippu - 2002.

4. Mulumaiyaga vazhum kalai - M.Setu

Sree SaraswathiThyagaraja College

Publication – 2008.


Value Education and Human Rights Mr. R. Padmanapan Dr. S. Rajalatha

27

SEMESTER –II ,s']fiyghlj]jpl]lk]

Part - V kdtsf]fiynahfh

jhs] 1

Credits: 1 Course code: N7BMA2P58-A

Total Instructional Hours: 50

ghlnehf]fk](Learning Objective) :

khzth]fs; Fzey nkk]ghl]ow]fhd kjpg]g[f]fy]tp mspj]jy] – nahfthH]t[ kw]Wk]

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

jtph]j]jYk]-MSikia kjpg]gPL bra]jy].

myF-IEz]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]wiy tsh]f]Fk]

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

myF- IIrpdk] jtph]j]jy]/ btw]wpa[k] njhy]tpa[k] (10 Hours) 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]iw vjph]bfhs]SjYk]- rthy]fspd]

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

KobtLj]jy]

myF-IIIkdtsKk] 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.

myF-IV,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-VkdpjclYk; 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.

khzth; bgWk; jpwd; (Learning Outcome) : khzth;fSf;F Fzeyk;/ cly; eyk; kw;Wk; kd eyk; rPuhf;fg;gLfpwJ.

ghl E}y]fs]

1. nahfKk; ,is"h; ty;yika[k; - cyf rKjha nrth r';fk;/

ntjhj;jphp gjpg;gfk;/

101/,uzpad; bjU/ <nuhL.


ghh;it E}y]fs]

1. kdtsf]fiybjhFg]g[ - 1 - cyf rKjha nrth r';fk;/




2. kdtsf]fiy bjhFg]g[[- 2 - cyf rKjha nrth r';fk;/




28

3. kjKk; kdpjDk; -cyf rKjha nrth r';fk;/



Ie;jhk; gjpg;g[ - 2012.

4. czt[ Kiw - cyf rKjha nrth r';fk;/




Course Prepared by Verified by kdtsf]fiynahfh jhs] 1 Mrs. V. Amsaveni Dr. S. Rajalatha

SEMESTER –II ,s']fiyghlj]jpl]lk]

Part -Vkdtsf]fiynahfh

jhs] II

Credits: 1 Course code: N7BMA2P58-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]

myFIIjtk]

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]

REFERENCE BOOKS

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


kdtsf]fiynahfh jhs] II Mrs. V. Amsaveni Dr. S. Rajalatha

29

SEMESTER- III - \d]whk] gUtk]

gFjpIjkpH] III

Part I Tamil III

jhs; - III

Credits: 3 Course Code : N7BMA3T51-A

Hours Per week: 6 Total Instructional hours: 75


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;)

myFI,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;

myFIIIgf;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 - ,ul;rzpa ahj;jphpfk; – 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;

khzth; bgWk; jpwd; (Learning Outcome) :

,jpfhrk;/ fhg;gpa';fs; Mfpatw;wpd; rpwg;g[f;fis czh;fpd;wdh;. fhg;gpa

,yf;fz';fisa[k; mwpfpd;wdh;. ,jHpaypd; Kf;fpaj;Jtj;ija[k;

bjhpe;Jbfhs;fpd;wdh;.

ghl E}y]fs]

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

2015 $^d] btspaPL

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


kW gjpg]g[ - 1994.

3. ,jHpay] fiy - kh.gh.FUrhkp

jhad;gfk;

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

30

jpz;Lf;fy; - 624061

gjpd;\d;whk; gjpg;g[ -2009

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

Kjw;gjpg;g[ 2012

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

jpUj;jpa gjpg;g[ - 2007.

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

Kjy;gjpg;g[ -2006.


Tamil III Dr. J. Nishanthini Dr. S. Rajalatha

SEMESTER- III

PART-I, PAPER-III, HINDI

Credits: 3 Course Code : N7BMA3T51-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.

31

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 :N7BMA3T51-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)

SEMESTER- III

PART-I, PAPER-III, FRENCH

Credits: 3 Course Code :N7BMA3T41-D


Prescribed text : ALORS II

Units : 1 – 5





Tel : 011 – 23852986 / 9650597000

32

SEMESTER-III

ENGLISH FOR ENRICHMENT – III


Hours Per week: 6 Total Instructional hours- 75

Learning Objective

To impart pronunciation and grammar through literature.

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

Learning Outcome


• Mastery in Phonetic Symbol

• Grammar and its usage

Text Book:

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

Reference Book:

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

Early Modern Poetry edited by Sumanyu Satpathy, 2004.

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


English For Enrichment-III I. Indhusoodan R. Vennila Nancy

Christina

SEMESTER III

CLASSICAL ALGEBRA & TRIGONOMETRY



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

equations subject to some conditions and on trigonometrical functions

33

UNIT I ( 12 Hours) Binomial Theorem : Binomial Theorem for a rational index (statement only)– application to

summation only - Exponential Theorem (statement only)- application to summation only -

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

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

equation: Reciprocals equations: Defintions - problems- diminishing or increasing roots of

an equation by h( problems only) – problems.

UNIT III (12 Hours) Descartes rule of signs for positive roots and negative roots (statement only) -Simple

problems -Rolle’s Theorem(statement only) -Simple Problems - 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

Learning Outcome: After the completion of the course the student will be able to sum the

series using Binomial, exponential and Logarithmic theorems, to solve algebraic equations

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

functions

Text Books:

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

Printers & Publishers Private Ltd, 2004.

Unit I: Page No. 143 to 151, 197 to 202, 213 to 219, 224, 225.

Unit II: Page No. 293 to 296, 324 to 327, 332 to 334.

Unit III: Page No. 353 to 357, 377 to 382.

2. S. Narayanan, T .K. Manicavachagom Pillai, Trigonometry for B.Sc Matehmatics Major,

S.Viswanathan PVT. LTD. 2004.

Unit IV: Page No. 61-66, 77 to 89

Unit V: Page No. 94 to 107

Reference Books:

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

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

3. P.R.Vittal, Trigonometry, Margham Publications, Chennai – 17, 3rd Edition, 2004

for Unit V.

4. S. Narayanan, T .K. Manicavachagom Pillai, Trigonometry, S.Viswanathan PVT.

LTD. 2004.


Classical Algebra And Trignomentry S. Sasikala K. Sathyapriya

34

SEMESTER III

DIFFERENTIAL EQUATIONS AND LAPLACE TRANSFORMS



Learning Objective: To train the students on solving Ordinary differential equations of First

Order and Second Order, Partial differential equations.

UNIT I (12 Hours)

Linear differential equations with constants coeffients: Solving differential equations of the

form(aD2 + bD+ c)y = x, where a,b,c,d are constants & x is of the form emx , cosmx, sinmx,

x, x2, xemx, emxsinnx, emxcosnx.

UNIT II (12 Hours) Linear equations with variable coeffients: Solving differential equation of the form (ax2

D2+bxD+c)(y) =X where a,b,c are constants and X is a function of x- SolvingEquations

reducible to a linear homogenous equations.

UNIT III (12 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.

UNIT IV (12Hours)

The Laplace transforms: Sufficient condition for the existence of Laplcace Transform –

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

theorems and related problems .

UNIT V (12 Hours)

Inverse Laplace transforms-Application of Laplace transform in Solving ODE with constant

coefficients.

Learning Outcome: After the completion of the course the students will be able to solve

Ordinary differential equations & Partial differential equations.

Text Book:

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

Unit I : Chapter 2 Page 49-74.

Unit II : Chapter 2 Page 81- 91

Unit III: Chapter 4 Page 115-121,Page 127-134.

Unit IV: Chapter 5 Page 155-173.

Unit V : Chapter 5 Page 174-187, Page 196.

Reference Books:

1. Narayanan S. Manickavachagom Pillai T.K, “Differential Equations and its Applications”

Viswanathan Printers, 2007.

2. P. Kandasamy, 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.

4. Dr. M.K.Venkataraman, Mrs. Manorama Sridhar, Differential Equations & Laplace

Transforms, National Publishing Company, 2004.


Differential Equations and

Laplace Transformations

V. Madhan K. Sivasamy

35

SEMESTER – III

FUNDAMENTALS OF ACCOUNTING



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

Accountancy

UNIT – I (15Hours)

Accounting: Meaning- Definition –Nature and Scope of Accounting-Objectives-

Advantages – Accounting Cycles, Concepts and Conventions – Accounting Rules – Journal,

Ledger and Trial Balance.

UNIT – II (15Hours)

Subsidiary books- meaning - types of subsidiary books- Purchase- Purchase Return -

Sales - Sales Return Book - Cash Book-Single Column, Double Column and Triple column

cash book.

UNIT III (15 Hours)

Bank Reconciliation Statements: Reconciliation between Cash Book, Pass Book and

overdraft - Problems relating to the preparation of Bank Reconciliation Statement

UNIT – IV (15 Hours)

Preparation of final accounts – Trading, Profit and loss account and balance sheet

(With Adjustments)

UNIT – V (15 Hours)

Bills of exchange: Definition – features – advantages- types – Bills honoured and

maturity- Bills discounted with bank – Bills endorsed to creditor – Bills for collection –

Retiring of bill before due date – Dishonour of bill.

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

Learning Outcome: 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

Text book:

1. T.S.Reddy and A.Murthy Financial Accounting, Margham Publishers, 24,

Rameshwaram Road, T.Nagar, Chennai -600017, 7thEdition – 2016

Reference Books:

1. T.S. Grewal, Introduction to Accountancy, Sultan Chand & Company Ltd, 7361 Ram

Nagar, New Delhi – 110 055, Edition 2014

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

Nagar, Ludhiana – 141008, 18thEdition – 2014.

3. N. Vinayagam, P.L. Mani, K.L. Nagarajan, Principles of Accountancy, Eurasi Publishing

House, Edition-2013

4. V. Rajasekaran & R. Lalitha, “Financial Accounting”, Pearson India Limited, New Delhi,

1st Edition, 2011.


Fundamentals of Accounting P. Senthil Kumar I. Siddiq

36


gFjp - IV mog]gilj]jkpH]–I

Part IV Basic Tamil I

Credits : 2 Course Code :N7BMA3T56-A

Hours per week: 2 Total Instructional hours: 27

ghl nehf;fk; (Learning Objective) : 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

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

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.

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




gjpg;g[ -2006

4.,dpa jkpH; gapw;rp E}y; - nfh.re;jpunyfh

g[j;jfk; -3 miyL gg;sp#h;!; gpiuntl; ypkpbll;

brd;id - 02.

gjpg;g[ - 2008.

brd;id – 14


Basic Tamil-I Dr. M. Revathi Dr. S. Rajalatha

37


gFjp - IV rpwg]g[j]jkpH]]]–I

Part IV Advanced Tamil I

Credits: 2 Course Code :N7BMA3T56-B

Total Instructional hours: 27

ghl nehf;fk; (Learning Objective) : 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

gjpg;g[ - 2007.

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



,uz;lhk; gjpg;g[ - 2004

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

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

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

4.bfh']Fnjh] thH]f]if - ,. ,uh$khh;j;jhz;ld;

a[idl;bll; iul;lh;!;

67 - gPl;lh;!; rhiy

,uhag;ngl;il/ brd;id -14.

Kjy; gjpg;g[ -2003


Advanced Tamil-I Dr. S. Dhandapani Dr. S. Rajalatha

38

SEMESTER-III

Non Major Elective 1:

BASIC ENGLISH FOR COMPETITIVE EXAMINATIONS I

Credit:2 Course Code:N7BMA3T77-C


Learning Objective

To prepare students for competitive examination and interviews

Unit I (5 Hours)

Parts of Speech

Unit II (5 Hours)

Numbers

Case

Gender

Unit III (5 Hours)

Voices

Narration ,Degrees of Comparison

Unit IV (5 Hours)

Precis Writing.Expansion of an Idea

Report Writing, Letter Writing

Unit V (5 Hours)

Public Speaking

Group Discussion, Interview Etiquettes

Learning Outcome

On successful completion of the course, the students should have acquired basic rules

of English grammar which in turn help them in clearing through competitive exams.

Text Book:

Basic English for Competitive Examinations, Department of English, Sree Saraswathi

Thyagaraja College, Pollachi, 2017.

Reference Book:

Facets of English Grammar, R.N.Shukla& N.M.Nigam, Macmillan, 2009

English For Competitive Examinations, R.P.Bhatnagar& Rajul Bhargava, Macmillan, 2007.


Basic English For Competitive

Examinations I

R. Vennila Nancy Christina K. Mahalakshmi

SEMESTER- IV-ehd]fhk] gUtk]

gFjpIjkpH] IV

Part I Tamil IV

jhs; - IV

Credits : 3 Course Code : N7BMA4T51-A



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; )

39

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;

(34/35/138/139/183/418/420/466/467/618/1094/1100/11

14/1120/

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)

ey;tHp - 05 ghly;fs;

(02/22/23/26/36)

Mj;jpr; R{o - 25 thpfs;

myFIII ftpij ehlfk; gh.nt: 12

jha[khdtd; - fnzrd;

myFIV,yf;fpa tuyhW gh.nt: 10

1.ePjp E}y;fspd; rpwg;g[f;fs;

2.ehlfj;jpd; njhw;wKk; tsh;r;rpa[k;

jd; Kaw;rpg; gog;g[ - IAS njh;t[k; mqFKiwfSk;

myFV,yf;fzk; gh.nt: 13

mzp ,yf;fzk; -ctikazp/ cUtfmzp/ jw;Fwpg;ngw;w mzp/ ,y;bghUs;

ctikazp/ gpwpJ bkhHpjy;mzp/ brhw;gpd;tUepiy mzp/

brhw;bghUs;gpd;tUepiy mzp/ ntw;Wik mzp/ ,ul;LwbkhHpjy; mzp/

t";rg;g[fH;r;rp mzp.

khzth; bgWk; jpwd; (Learning Outcome) : r';f ,yf;fpa';fspd; mfk;/ g[wk; gw;wp rpwg;g[fis czh;fpd;wdh;. ehlfj;jpd;

jdpj;Jtj;ij mwpe;J bfhs;fpd;wdh;. Ml;rpg;gzpfspy; jkpH; ghlj;jpd;

Kf;fpaj;Jtj;ij ed;F czh;e;J bfhs;fpd;wdh;.

ghl E}y]fs] 1. r';f ,yf;fpak;/ mw ,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.

3. I.V.v!;.njh;t[k]

mqFKiwa[k; - bt.,iwad]g[

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




40

ghh;it E}y;fs]

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




2. gjpbdz; fPH;f;fzf;F

E}y;fs; - bjhFg;g[ E}y] - th;;j;jkhdd; gjpg;gfk;

V.Mh;.Mh;. fhk;g;bsf;!;

141/ c!;khd; rhiy/

jpahfuha efh;

brd;id - 17


3. jkpH; mu';fpay; Mtzk; - btsp. ,u';fuh$d;

vdp ,e;jpad; gjpg;gfk;

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

bjw;F c!;khd] rhiy

jp.efh;/ brd;id -17/gjpg;g[ - 2007.

4.jz;oay';fhuk; - uhkyp';fj; jk;gpuhd;

fHf btspaPL

79/gpufhrk; rhiy

brd;id - 108.

21-Mk; gjpg;g[ 1998.


Tamil-IV Dr. G. Malarvizhi Dr. S. Rajalatha

SEMESTER- IV

PART-I, PAPER-IV, HINDI

Credits : 3 Course Code : N7BMA4T51-B


1. DRAMA: BAKRISarveshwar 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 : N7BMA4T51-C


Drama & Folklore

This paper comprises the following five units:

Unit I, II & III A Drama

Unit IV & V Folklore

41

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).

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 : N7BMA4T41-D


Prescribed text : ALORS II

Units 6 – 10





Tel : 011 – 23852986 / 9650597000

SEMESTER – IV

ENGLISH FOR ENRICHMENT – IV

Credits : 3 Course Code : N7BMA4T72


Learning Objective

To expose the students to various genres of literature.

Unit- I (15 Hours)

Pygmalion – G.B. Shaw - Act I - V

UnitII (15 Hours)

The Never-Never Nest -Cedric Mount

The Diamond Necklace -Guy de Mauppasant


With the Photographer - Stephen Leacock

Indian Weavers- Sarojini Naidu

Cinderella-Retold by Arthur Rackham


A Snake in the Grass –R.K .Narayan

Solitude- Alexander Pope

The Fly- Katherine Mansfield

42


Tolerance-T.M.Forster

The Sunne Rising-John Donne

The Nightingale and the Rose-Oscar Wilde

Learning Outcome


• Knowledge about genres of literature

• Confidence to handle practical situation

Text Book

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

Current prose for better learning edited by Vimala Rama Rao,Macmillan India Limited,2009

ReferenceBooks 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.


English For Enrichment-IV V. Subash Chandra Bose R. Vennila Nancy

Christina

SEMESTER IV

ANALYTICAL GEOMETRY OF 3 DIMENSIONS



Learning Objective: To train the students on solving Analytical Geometry of 3D.

UNIT I (10 Hours)

The straight line: Symmetrical form of the equations of a line – non symmetrical form of the

equations of a line – equation of aline passing through two points- Coplanar lines: Condition

for the given two lines should be coplanar-Shortest distance between two skew lines.

UNIT II (10Hours)

Sphere – equations of a sphere when the centre and radius are given – The equation

always represents a sphere and to find its centre

and radius – The length of the tangent from the point to the

sphere -- 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 at point --simple problems

UNIT III (10 Hours)

Cone: Cone-definition- Right Circular cone-Definition-Derivation of right circular cone-

related simple problems

UNIT IV (10Hours)

Cylinder: Definitions – equation of the right circular cylinder with axis and

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

the surface having the generator parallel to - simple

problems

UNIT V (10 Hours) Central quadrics: Definition and three cases – intersection of aline and quadrate – tangents

and tangent plane – condition for the plane to touch the conicoid

-Normal at the point to the conicoid .

43

Learning Outcome: After the completion of the course the students will be able to solve the

problems in Analytical Geometry of 3D.

Text Book:

T. Manicavachagampillai, Natarajan, A text book of Analytical Geometry of 3D,

S.Viswanathan PVT., Ltd, 2007.

Unit-I : Page No. 46, to 54, 61 to 66, 73

Unit-II: Page No. 92 to 111

Unit-III : Page No. 116 to 123

Unit-IV : Page No. 136 to 140

Unit- V :Page No. 141 to 149, 155 to 159.

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.

3. Shanthi Narayan, Analytical Solid Geometry, S.Chand & Company, 1995.

4. Arumugam, Issac, ‘Ancillary Mathematics’, New Gamma Publishing house, 2007


Analytical Geometry for 3D T. Rameshkumar A. Shak Dawood

SEMESTER IV

MODERN ALGEBRA



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

Homomorphism.

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)

Isomorphism - Homomorphism - 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.

Learning Outcome: After the completion of course the student will develop skills in solving

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

Text Book:

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

Unit I : Page No. 3.1 to 3.21

Unit II : Page No. 3.22 to 3.36

Unit III : Page No. 3.37 to 3.50

44

Unit IV : Page No. 4.1 to 4.15

Unit V : Page No. 4.16 to 4.27

Reference Books:

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

2006.

2. S.G. Venkatachalapathy, Modern Algebra, Margham Publications, 2008.

3. I.N. Herstein, Topics in Algebra, John Wiley & Sons, New York, 2003.

4. A. R. Vasistha, A.K. Vasistha, Modern Algebra, Krishna Prakasam Media (P)Ltd, 2008.


Modern Algebra M. Thangamani R. Senthil Amutha

SEMESTER – IV

COST & MANAGEMENT ACCOUNTING

Credits: 5 Course Code:N7BMA4T75


Learning Objective: To gain comprehensive understanding of aspects relating to Cost

Accounting and their application by way of solving problems and conceptual framework of

Management Accounting.

Unit – I (15 Hours)

Cost Accounting – Meaning – Definition - Nature and scope of Cost Accounting - Cost

concepts and Classifications - Cost centers and Cost sheets.

Unit – II (15 Hours)

Material control - Meaning – objectives – essentials – Advantages –Economic Order

Quantity(EOQ) - Computation of stock level: - Reorder level- maximum level – minimum

level – Average stock level – Danger Level- Pricing of materials issue : FIFO, LIFO, simple

average and weighted average methods –Labour - Labour cost -Time rate and Piece rate

system.- Straight piece rate system -Taylor’s differential piece rate system – Halsey Plan –

Rowan Plan


Management Accounting: Meaning, Scope, Objectives- Relationship between Management

Accounting, Financial Accounting and Cost Accounting. Financial statement analysis:

comparative, common size and trend analysis.


Ratio Analysis - Interpretation, benefits and limitations.Classification of ratios:Liquidity –

Solvency- Profitabilityratio.


Budgets and budgetary control - Meaning, objectives,merits and demerits - Types of Budgets

- Production, Cashand Flexible Budgets. Marginal costing:contribution, P/V ratio, Margin of

safety & BEP.

Note: The Syllabus will have 20 % Theory and 80 % Problems (Only simple problems)

Learning Outcome : On successful completion of the course the student should have a

thorough knowledge on the cost accounting principles and practice and basic concepts of

management accounting.

45

Text Book:

1. R.S.N. Pillai & V.Bagavathi, Cost Accounting, Sultan Chand & Sons, 23, Daryaganj,

New Delhi, 7thEdition – 2016

Reference Books:

1. Sharma & Shasi.K Gupta, Management Accounting, Kalyani Publishers, B-I/1292,

Rajinder Nagar, Ludhiana -141008,13th Edition – 2014

2. S.N.Maheswari,Principles of Management Accounting, Sultan Chand & Company Ltd,

7361 Ram Nagar, New Delhi – 110 055. 16thEdition – 2016.

3. Jain & Narang Cost and Management Accounting, Kalyani Publishers, B-I/1292, Rajinder

Nagar, Ludhiana -141008,14th Edition – 2014

4.Dr.R. Ramachdran and Dr.R. Srinivasan “ Management Accounting”, Sriram Publications,

Trichy, Reprint 2015


Cost & Management Accounting P. Senthil Kumar I. Siddiq

SEMESTER- IV - ehd;fhk; gUtk]

gFjp - IV mog]gilj]jkp H;–II

Part IV Basic Tamil II

Credits: 2 Course Code: N7BMA4T57-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].

khzth; bgWk; jpwd; (Learning Outcome) : vGj;Jf;fisg; gw;wpa mwpKfKk; brhw;fis vGJtjw;Fk; ngRtjw;Fk;

fw;Wf;bfhs;fpd;wdh;. jkpHh;fspd; gz;ghL/ ,yf;fpa';fis mwpe;Jbfhs;fpd;wdh;.

ghh]it E}y]

1. ,yf]fpa tuyhW - nrhk . ,stuR

kzpthrfh; gjpg;gfk;

8-7 rp';fh; bjU

ghhp Kid

brd;id - 8

Mwhk;gjpg;g[ - 2007

46

2 .ghujpahh; ftpijfs; - ghujpahh;

_ ,e;J gg;spnfrd;!]

100/ bfdhy; g']f] nuhL

fpHf;F rp.I.o.efh;

brd;id - 35

13-Mk; gjpg;g[ -2011

3.gjpbdz; fPH;f;fzf;F

E}y;fs; - bjhFg;g[ E}y] - th;;j;jkhdd; gjpg;gfk;

V.Mh;.Mh;. fhk;g;bsf;!;

141/ c!;khd; rhiy/

jpahfuha efh;

brd;id - 17


4. ePjp E}y; fH";rpak; - bfhw;wit btspaPL

4/2 Re;juk; bjU

jpahfuhah; efh;/ brd;id -17

Kjw;gjpg;g[ - 2014.

5.ehl;Lg;g[w ,ay; Ma;t[ - lhf;lh; R.rf;jpnty;

kzpthrfh; gjpg;gfk;

31/ rp';fh; bjU/ ghhpKid/

brd;id - 108

Kjw;gjpg;g[ - 1983.


Basic Tamil-II Dr. M. Revathi Dr. S. Rajalatha

SEMESTER- IV - ehd;fhk; gUtk]

gFjp - IV rpwg]g[j]jkpH]]]–II

Part IV Advanced Tamil II

Credits: 2 Course Code: N7BMA4T57-B


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

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

fypj]bjhif - Rlh]j]bjhO,* nfsha]* - fgpyh;

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

myF – II r']f ,yf]fpak; – g[wehD}W gh.nt:04

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

<d]W g[we]jUjy] - \jpd] Ky]iy bghd]Koahh]

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

myF – IV ciueil E}y] - tz]zjhrd] -mfk] g[wk] gh.nt:06

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

C"]ry] kdR

fw]wJ kdk]

,aw]if kfue]j']fs]

Ee]jpah tl]lr] broapd] k"]rs] ,iy

myF – V bghJf]fl]Liufs] gh.nt:06

khzth]fs] bfhz]lhoa tpHh Fwpj]J mth]fis vGj itj]jy].

khzth; bgWk; jpwd; (Learning Outcome) : r';ffhyk; Kjy; ,f;fhyk; tiuapyhd ,yf;fpa';fs; tHpna bkhHpapd; ,dpik

kw;Wk; thH;tpay; jd;ik fisa[k; cah;e;J bfhs;fpd;wdh;.

47

ghh]it E}y]

1.jkpH; ciueilapd; njhw;wk; tsh]r]rp - f.ifyhrgjp

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

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




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

Ky;iy epiyak;

9/ ghujp efh; Kjy; bjU

jpahfuha efh;

brd;id – 600 017

Kjw;gjpg;g[ 2012

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

rpj;jpuk; btspaPL

15/fiythzp efh;

,yhRg; ngl;il

g[Jr;nrhp – 605 008



Advanced Tamil-II Dr. S. Dhandapani Dr. S. Rajalatha

SEMESTER- IV

Non Major Elective II

BASIC ENGLISH FOR COMPETITIVE EXAMINATIONS II

Credit:2 Course Code:N7BMA4T77-C

Hours per Week: 2 Total Instructional hours- 27

Learning Objective

To prepare students for competitive examination with basic grammar knowledge.

Unit I (5 Hours)

Concord (Subject Verb Agreement)

Articles

Synonyms -Antonyms

Unit II (5 Hours)

Tenses

Common Errors

Idioms and phrases

Unit III (5 Hours)

Kinds of Sentence (transformation)

Classification of Sentences (simple, complex, compound)

Rearrange the Sentences

Improvement of Sentences

Unit IV (5Hours)

One word substitution

Selection of mis spelt /Correctly spelt words

Odd word out

Unit V (5 Hours)

Comprehension

Cloze test

48

Learning Outcome

On successful completion of the course, the students to be in the comfort level

of spoken, written and also assist the students to avoid error in writing

Text Book:

Basic English for Competitive Examinations, Department of English, Sree Saraswathi

Thyagaraja College, Pollachi, 2017.

Reference Book:

Facets of English Grammar, R.N.Shukla& N.M.Nigam, Macmillan, 2009

English For Competitive Examinations, R.P.Bhatnagar& Rajul Bhargava, Macmillan, 2007.


Basic English For Competitive

Examinations II

R. Vennila Nancy

Christina

K. Mahalakshmi

SEMESTER –V

DISCRETE MATHEMATICS


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

UNIT I (12 Hours) Logic: Introduction – TF - Statements – Connectives – Atomic and Compound Statements –

Well Formed (Statement) Formulae – The truth table of a formula – Tautology – Tautological

implications and equivalence of a formula – Normal forms – Principal Normal Forms –

Theory of Inference.

UNIT II (12 Hours) Set Theory: Introduction – Sets – Notations and description of sets – Subsets – Operations

on sets – Properties of set Operations – The Principle of Duality.

Relations: Cartesian product of two sets – Relations – Representation of Relation –

Operations on Relations – Equivalence of Relation.

UNIT III (12 Hours)

Lattices – Hasse diagram – Some Properties of Lattices – New Lattices – Modular and

Distributive Lattices.

UNIT IV (12 Hours) Boolean Algebras – Boolean Polynomials – Karnaugh Map.

UNIT V (12 Hours) Automata, Languages and Computation:Finite Automata – Definition of Finite automation –

Representation of Finite Automation - Acceptability of a String by a Finite Automation –

Language accepted by a Finite Automation – Non-deterministic finite Automata –

Procedure for finding an FA equivalent to a given NFA.


the concepts of mathematical logic, relation.

Text Book: 1. Dr. M. K. Venkataraman, Dr. N. Sridharan, N. Chandarasekaran, Discrete Mathematics,

The National Publishing Company Chennai, 2006.

Unit I :Page No. Unit I: Page No. 9.1 to 9.16, 9.21 to 9.65

Unit II:Page No.1.1 to 1.20, 1.24 to 1.28, 2.1 to 2.15 & 2.18 to 2.27

49

Unit III: Page No. 10.1 to 10.32

Unit IV: Page No. 10.34 to 10.64

Unit V: Page No. 12.1 to 12.15, 12.20 to 12.23

Reference Books:

1. J. P.Tremblay R Manohar, Discrete Mathematical Structures with Applications to

Computer Science, Mc Graw Hill International Edition, 2007.

2. Dr. A. Singaravelu, Dr.V.Ravichandran, Dr. T.N. Shanmugam, Discrete Mathematics,

Meenakshi agency 2008, 5th edition

3. G. Balaji, Discrete Mathematics, Balaji publications, 1st edition, 2006

4. G.S.S.Bhishma Rao, Discreate Structures and Graph Theory, 2ndEdition(Publication),2002


Discrete Mathematics V. Madhan R. Senthil Amutha

SEMESTER V

REAL ANALYSIS – I



Learning Objective: This course focuses on the Real number systems, set theory, point set

topology, Sequences and Convergence.

UNIT I (12 Hours) Sets and functions: Sets-Types of sets-operations on sets-disjoint sets-universal set-

difference of sets-complement of a set-Principle of duality-symmetric difference-indexed

family of sets-union and intersection of an arbitrary family of sets.Ordered pair-Cartesian

product of sets-Relations-Functions-Kinds of functions-Composite of function-inverse

function-Related theorems.

UNIT II (12 Hours) Countability of sets and Real number System: Initial segment of N-Equivalent sets-finite

and infinite sets-Countable and uncountable set-Related theorems(2.9 to 2.17).Algebraic

Structure-Real number system as an ordered field- The set of Rational numbers as an ordered

field-The order completeness axiom-complete ordered field-Archimedean property of real

numbers-Archimedean ordered field-Denseness of R-Related theorems and Simple problems

from illustrative examples.

UNIT III (12 Hours) Topology of Real numbers:Intervals-Finite and infinite intervals-Neighbourhood of a point-

deleted neighborhood of a point –related theorems-Open Set- Interior point of a set-interior of

a set-closed set-limit point of a set-isolated point-derived set-adherent point-closure of a set-

perfect set-dense set-compact sets-open cover-Heine-Borel property and Related theorems

and Simple problems from illustrative examples.

UNIT IV (12 Hours) Sequences: Real Sequence-Range of a sequence-constant sequence-bounded and unbounded

sequence-least upper bound and greatest lower bound of a sequence-limit of a sequence-

convergent sequence-divergent sequence-oscillatory sequence-null sequence-monotonic

sequences-convergence of monotonic sequence-Nested interval property-Related theorems

and Simple problems from illustrative examples.

UNIT V (12 Hours) Sequences: cluster points of a sequence- Limit superior and inferior of a sequence- Limit

superior and inferior of a bounded sequence- Subsequences-peak point of a sequence-

50

subsequential limit-cauchy sequences- Related theorem and Simple problems from

illustrative examples.

Learning Outcome: After the completion of the course students gains the knowledge about

understanding the behavior of sequences and real number system.

Text Book:

Golden Math Series “Real Analysis” for B.A./B.Sc. Students by N.P.Bali Laxmi

Publications(P) Ltd, New Delhi.

Unit I : Page : 1 -11, 16 - 33

Unit II: Page : 34 -38, 42-45,56-65

Unit III: Page : 68-71,75-89,104-107

Unit IV: Page : 108 - 125

Unit V : Page : 164 -188

Reference Books:

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

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

Publishing House, 5th Edition, 2010

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

1985.

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

edition 2009


Real Analysis-I S. Sathiya R. Senthil Amutha

SEMESTER V

COMPLEX ANALYSIS - I

Crédits: 5 Course Code:N7BMA5T73


Learning Objective: To teach the students about continuity, differentiability, analyticity of

functions of complex variables, conformal mappings and complex integration.

UNIT I (15 Hours)

Complex numbers: Introduction-complex numbers-Conjugation and Modulus-Inequalities-

Square root-Geometrical representation of Complex numbers-nth roots of Complex

numbers-Circles and straight lines-Regions in the Complex plane-The Extended Complex

plane.

UNIT II (15 Hours)

Analytic functions: Introduction-Functions of a complex variable- Limits- Theorems on

limit-Continuous functions- Differentiability-The Cauchy- Riemann equations- Analytic

functions-Harmonic functions.

UNIT III (15 Hours) Conformal mapping-Bilinear transformations: Introduction- Elementary transformations-

Bilinear transformations-Cross ratio-Fixed points of bilinear transformations.

UNIT IV (15 Hours)

Power Series: Defintion – radius of convergence of Power series – definition – theorem -

problems– Elementary functions: Exponential function – properties of - trigonometric

functions – hyperbolic functions.

UNIT V (15Hours)

Mapping by Elementary Functions:Introduction- Discussion of the mappings w=z2- w=zn

where n is a positive integer ,w= ,w=sinz,w=cosz, w=cos hz,w=1/2(z+1/z)

51

Learning Outcome: After the completion of the course the students will understand about

analytic functions, harmonic functions and basic mappings.

Text Book:

S. Arumugam, A. Thangapandi Isaac, A. Somasundaram, Complex analysis, SCITECH

publications, Chennai, 2007.

Unit I : Page No. 1 to 23

Unit II : Page No. 24 to 66

Unit III : Page No. 67 to 76, 82 to 93

Unit IV : Page No. 104 to 114

Unit V : Page No. 118 to 130

Reference Books:

1.S.G.Venkatachalapathy,Complex analysis for B.Sc-Mathematics,Margam publications-

2009 edition.

2.P.Duraipandian and Laxmi Duraipandian, Complex Analysis, Emerald Publishers,

Chennai –2,1986.

3.H.S.Kasana, Complex variables theory and Applications(second edition),Prentice Hall of

india private limited,New Delhi,2005.

4. M.L.Kanna, S.K.Pudir, Functions of a Complex Variables, Jai Prakash Nath & Co

Educational publishers, 8th Edition, 2014


Complex Analysis-I R. Senthil Amutha R. D. Beulah

SEMESTER VI

LINEAR ALGEBRA


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

product spaces.

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: Types of Matrices –Inverse of Matrix-Elementary transformation.

UNIT V (15 Hours)

Characteristic equations Cayley Hamilton theorem -Eigen Values & Eigen Vectors-

properties of Eigen values.


problems on matrices, vector spaces, orthogonality and Cayley Hamilton theorem.

52

Text Book:

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

Unit I: Page No. 5.1 to 5.14

Unit II: Page No. 5.15 to 5.30

Unit III: Page No. 6.1 to 6.9

Unit IV: Page No. 7.6 to 7.19

Unit V: Page No. 7.25 to 7.40

Reference Books:

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

2006.

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

3. S.G. Venkatachalapathy, Modern Algebra, Margham Publications, 2008.

4. Ward Chenay Dewid Kincaid, Linear Algebra Teory and Applications, 1st Edition,

2010


Linear Algebra M. Thangamani R. Senthil Amutha

SEMESTER V

OPERATIONS RESEARCH - I



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

UNIT I (7 Hours)

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

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

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, solution of a transportation

problem finding an initial basic feasible solution, optimum solutions - simple problems.

Unit V (7 Hours)

The Assignment problem – Introduction – special cases in assignment problems – Optimal

solutions – problems.

Learning Outcome: After the completion of the course the students will be able to solve

problems on LPP models, Transportation model and Assignment model.

Text Book:

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

Publications, New Delhi, 2015

UNIT I Page No. 25 to 27, 33 to 35, 39 to 42, 65, 66-73.

UNIT II Page No. 87 to 89, 101 to 105, 108 to 111.

53

UNIT III Page No. 129 to 133, 138 to 141.

UNIT IV Page No. 247, 252 to 266.

UNIT V Page No. 295, 297 to 303.

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.

4. Frederick & Hillies, Gerald I.Lieberman, Operations Research, Tata Magraw – Hill

Publications company, 2009.


Operations Research-I K. Kanneeswari R. Chitradevi

SEMESTER V

MATHEMATICS FOR COMPETITIVE EXAMINATIONS


Hours per Week: 4 Total Instructional Hours: 50

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

UNIT I (10 Hours)

Analogy

Coding and Decoding

Direction Sense Test

UNIT II (10 Hours)

Blood Relations

Logical Reasoning

UNIT III (10 Hours)

Average

Problem on Numbers

Problem on Ages

UNIT IV (10 Hours)

Percentage

Profit and Loss

Ratio and Proportion

.UNIT V (10 Hours)

Time & Work

Time and Distance

Learning Outcome: 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.

Text Book:

“Mathematics for Competitive Examinations”, Department of Mathematics, Sree

Saraswathi Thyagaraja College, Pollachi, 2016.

Reference Books:

1. R.S. Aggarwal, A Modern Approach to Verbal and Non-Verbal Reasoning, S.

Chand & Company Ltd, 2011 Edition, New Delhi (For units I & II only).

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

Company Ltd, 2012 Edition, New Delhi(For units III, IV, V).

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

54

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

Companies, 2006.

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


Mathematics for Competitive

Examinations

M. Thangamni R. Senthil Amutha

SEMESTER VI

REAL ANALYSIS - II



Learning Objective: To illustrate the concept of limit, continuity, connectivity,

differentiability of real valued functions and Riemann-Stieltjes integral with examples.

UNIT I ( 15 Hours)

Series: D’Alembert’s Ratio Test- Infinite series-Series of positive terms-Alternating series-

partial sums-Behaviour of an infinite series-Related Articles and Simple problems from


UNIT II (15 Hours)

Series: Cauchy’s root test-cauchy’s root test is more general than D’Alembert’s ratio test-

Raabe’s test. Absolute and conditional convergence-Related theorems and Simple problems


UNIT III ( 15 Hours)

Limit and Continuity of functions: Limit at infinity and infinite limits-Limit of a function at

a point-Algebra of limits. Continuity-Types of discontinuity-Simple problems from


UNIT IV (15 Hours)

The derivative and mean value theorems: Derivative of a function-Derivability and

continuity-Geometrical meaning of the derivative-Algebra of derivatives-Rolle’s theorem-

Geometrical interpretation of Rolle’s theorem-Failure of Rolle’s theorem- Simple problems


UNIT V (15 Hours)

The derivative and mean value theorems: Lagrange’s mean value theorem-geometrical

interpretation-Deductions from Lagrange’s mean value theorem-Cauchy’s mean value

theorem-Generalised mean value theorem- Simple problems from illustrative examples.

Text Book:

Golden Math Series “Real Analysis” for B.A./B.Sc. Students by N.P.Bali Laxmi

Publications(P) Ltd, New Delhi.

Unit I : Page : 189 - 212

Unit II: Page : 224- 231, 244-255,300-304

Unit III: Page : 323 -340

Unit IV: Page : 394 -400,411-422

Unit V : Page : 424 – 430, 435-439

55

Reference Books:

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

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

Publishing House, 5th Edition, 2010

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

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

edition 2009


Real Analysis -II S. Sathiya R. Senthil Amutha

SEMESTER VI

COMPLEX ANALYSIS II

Crédits: 5 Course Code:N7BMA6T72

Hours per week: 6 Total instructional hours:75

Learning Objective: To teach the students about Singularities, Residues and complex

integration in detail.

UNIT I (15 Hours)

Complex integration: Introduction-Definite integral-Cauchy‘s theorem-Cauchy’s integral

formula.

UNIT II (15 Hours)

Higher derivatives: Cauchy’s inequality - Liouvilles theorem-Fundamental theorem of

algebra-Moreras theorem and related problems.

UNIT III (15 Hours)

Series Expantion: Introduction-Taylor’s series-Laurent’s series.

UNIT IV (15 Hours)

Series Expantion: Zero’s of an analytic functions - singularties - Calculus of Residues:

Introduction-Residues-Cauchy’s residue theorem- Calculus of Residues: Argument theorem-

Rouche’s theorem-Fundamental theorem of algebra

UNIT V (15 Hours)

Evaluation of definite integral of the form , where

g(x),h(x) are polynomial in x and the degree of h(x) exceed that of g(x) by atleast 2- Type 3:


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

Residues.

Text Book:

S. Arumugam, A. Thangapandi Isaac,A.Somasundaram,Complex analysis,SCITECH

publications,Chennai,2007


Unit II : Page No. 163 to 171

Unit III : Page No. 173 to 194

Unit IV : Page No. 197 to 226

Unit V : Page No. 228 to 249

Reference Books:

1.S.G.Venkatachalapathy,Complex analysis for B.Sc-Mathematics,Margam publications-

2009 edition.

2.P.Duraipandian and Laxmi Duraipandian, Complex Analysis, Emerald Publishers,

Chennai –2,1986.

56

3.H.S.Kasana, Complex variables theory and Applications(second edition),Prentice Hall of

india private limited,New Delhi,2005.

4. . M.L.Kanna, S.K.Pudir, Functions of a Complex Variables, Jai Prakash Nath & Co

Educational publishers, 8th Edition, 2014


Complex Analysis-II R. Senthil Amutha R. D. Beulah

SEMESTER VI

MECHANICS



Learning 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.

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 treatment) –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.

57


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

of motion for projectiles, laws of conservation of momentum and laws of elasticity for

colliding objects.

Textbook:

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

Unit I: Page No. 6 to 32

Unit II: Page No. 52 to 67, 84 to 97

Unit III: Page No. 98 to 109, 143 to 147, 152 to 155

2. M.K.Venkataraman, Dynamics, 11thEd. Agasthiar Publications, Trichy, 1994. (Unit IV, V)

Unit IV: Page No. 139 to 149, 156 to 158, 163 to 166, 172 to 175, 181, 182

Unit V: Page No. 215 to 227, 233 to 238, 244 to 250.

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.

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

Nagar, New Delhi -55, 1985.

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


Mechanics T. Rameshkumar R. Uma

SEMESTER VI

OPERATIONS RESEARCH II



Learning Objective: To teach the students to use the mathematical knowledge in 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–Problems.

UNIT II (7 Hours)

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

symbols and Notation – Classifications of queues (Derivations excluded)– Problems in

(M/M/1) : (∞/FIFO).

UNIT III ( 7 Hours)

Inventory control I: 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.

UNIT IV (7 Hours)

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

Rules of Network construction –Concurrent activities – critical path analysis(CPM).

UNIT V (7 Hours)

Network scheduling by PERT / CPM :PERT – probability consideration in PERT– distinction

between PERT and CPM – Problems.

58

Learning Outcome: After the completion of the course the student should have gained

knowledge about optimal use of resources.

Text Book:

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

Publications, New Delhi, 2015.


Unit II: Page No. 589 to 605

Unit III: Page No. 507 to 530

Unit IV: Page No. 763 to 778

Unit V: Page No. 781 to 792

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.

4. Frederick & Hillies, Gerald I.Lieberman, Operations Research, Tata Magraw – Hill

Publications company, 2009.


Operations Research II S. Sathiya T. Rameshkumar

LIST OF ELECTIVES

VECTOR CALCULUS AND FOURIER SERIES



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

Fourier series, Half-range Fourier series.

UNIT I (12 Hours)

Definition of - level surfaces- angle between level surfaces – Equation of normal line

and tangent plane – Definition of divergence - Solenoidal vector – problems – Definition of

Curl – irrotational vectors, related problems

UNIT II (12 Hours)

Vector identities – line integral definition – conservative field – scalar potential and problems

- Gauss divergence theorem (statement only) and problems

UNIT III (12 Hours)

Stoke’s theorem (statement only) – Problems using Stoke’s theorem-Green’s theorem in a

plane (statement only) –Problems using Green’s theorem .

UNIT IV (12 Hours)

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

coefficients – Dirichlet’s conditions – Obtaining Fourier series of periodicity for a

function .

UNIT V (12 Hours)

Half range Fourier Series: Development of f(x) as half – range fourier sine and cosine

series of period π .

Learning Outcome:After the completion of the course the student will gain knowledge

about Stokes, Green’s and Gauss Divergence theorem and expansion of Fourier series.

59

Text Book:

1. Dr.P.R.Vittal, Vector Analysis, Margham Publications, Chennai,2000 for Unit I, II

and III.

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

Printers, 2007 for Unit IV and V

Unit I- Page no. 7 to 29

Unit II- Page no. 35 to 41, 59 to 72, 94 to 101

Unit III - Page no. 112 to 119, 129 to 138

Unit IV- Page no. 202 to 220

Unit V- Page no. 221 to 227

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.

4. M.L.Kanna , Vector Calculus, Jaiprakash Nath & Co, 2009


Vector Calculus And Fourier Series T. Rameshkumar A. Shak Dawood

AUTOMATA THEORY


Hours per week: 5 Total Instructional Hours: 60 Learning Objective: To teach the student about the Formal languages and Automata theory.

UNIT I (12 Hours)

Formal languages and Grammars: Definitions -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)

Finite Automata with moves - Equivalence of NFA’s with & with out moves

UNIT IV (12 Hours)

Regular Expressions: Regular expressions - Equivalence of finite automata & regular

expressions

UNIT V (12 Hours)

Context free grammars and languages- context free language –Derivation trees- Relation

ship between derivation trees & derivations – Leftmost & right most derivations – ambiguity

- simplificton

Learning Outcome: After the completion of the course the student will gain knowledge

about Formal Languages, Types of Grammars, Finite State Automata and Regular

Expressions.

Text Book:

1. J. P.Tremblay R Manohar, Discrete Mathematical Structures with Applications to

Computer Science, McGraw Hill International Edition, 2007.(Unit I)


60

2. Hopcrot and Ullman, Formal Languages and their relation automata, Addison Nesley,

2006 (Unit II, III, IV, V)

Unit II: Page No. 42 to 24,59 to 66,69 to 81

Unit III: Page No. 86 to 94


Unit V: Page No. 183 to 190.

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.

3. Rakesh Dude, Adesh Pandy, Ritu Gupta, Data Structure & Automata Theory, Narosa

Publication, 2011.

4. P.K.Srimani, S.F.B Nasir, A Text Book on Automata Theory, Foundation Books,

2007


Automata Theory V. Madhan A. Shak Dawood

NUMERICAL METHODS



Learning Objective: To teach the students about solving the equations numerically

UNIT I (12 Hours)

The solution of Numerical algebraic and transcendental equations: The bisection method -

iteration method – Newton Raphson method – regula falsi method.

UNIT II (12 Hours)

Simultaneous linear algebraic equations: Gauss elimination method –Gauss Jordan method –

Method of triangularisation – Iterative methods.

UNIT III (12 Hours)

Interpolation: Gregory Newton forward interpolation, backward interpolation – Newton’s

divided difference interpolation – Lagrange’s interpolation – Inverse interpolation

UNIT IV (12 Hours)

Numerical Differential and integration: Newton’s forward, backward formula for derivatives

– Trapezoidal rule – Simpson’s 1/3 rule

UNIT V (12 Hours)

Numerical solution of ordinary differential equation: Taylor series method – Euler’s method

– Runge kutta method of fourth order only, Milne’s predictor and corrector method.


algebraic, transcendental, differential and integral equations numerically.

Text Book:

Numerical methods in Science and Engineering - Dr. M.K. Venkataraman, The National

publishing company, 2009.


Unit II: Page No. 113 to 120, 140 to 146

Unit III: Page No. 193 to 202, 244 to 264


Unit V: Page No.336 to 344, 350 to 352, 360 to 363, 371 to 379.

61

Reference Books:

1.Kandasamy. P, Thilagavathi. K and Gunavathi.K “Numerical methods” – S. Chand and

Company Ltd, New Delhi – Revised Edition 2007

2. SankaraRao K., “Numerical Methods for Scientists and Engineers” 2nd Edition Prentice

Hall India 2004.

3. A. Singaravelu, Numerical Methods, Meenakshi agency, 2007.

4.S.S.Sastry, Introductory methods of Numerical Analysis, Prentice Hall of India Private Ltd,

2000.


Numerical Methods N. Ganesh Moorthi O. V. Shanmugasundaram

FUZZY MATHEMATICS



Learning Objective: To teach the student about Fuzzy sets and Fuzzy Logic.

UNIT I (12 Hours)

From classical sets to Fuzzy sets: Introduction – Crisp sets : An over view –Fuzzy set: Basic

types – Fuzzy sets:Basic Concepts-Characteristics and siginificance of the paradigm Shift

UNIT II (12 Hours)

Fuzzy sets of verus crisp sets: Additional Properties ofα-cuts- Representations of fuzzy sets-

Extension Principle of fuzzy sets.

UNIT III (12 Hours)

Operations on fuzzy sets: Types of Operations - Fuzzy complements- Fuzzy Intersections:t-

Norms-Fuzzy Unions:t- Conorms.

UNIT IV (12 Hours)

Fuzzy Arithmetic: Fuzzy Numbers-Linguistic Variables- Arithmetic Operations on intervels

UNIT V (12 Hours)

Fuzzy Relations: Crisp versusFuzzy Relations - Projections and Cylindric Extensions -

Binary Fuzzy Relations – Binary Relations on a single set –Fuzzy Equivalence Relations –

Fuzzy Compatibility Relations.

Learning Outcome: After the completion of the course the student will be able to

understand the concept and the applications of Fuzzy Logic.

Text book: George. J.Klir and Tina A. Folger, “Fuzzy Sets Uncertainty and Information” Printice Hall

of India Pvt. Ltd., New Delhi, 2006.

Unit I: Page no: 1-30

Unit II: Page no: 35-48

Unit III:Page no: 50-102

Unit IV: Page no: 97-102

Unit V: Page no: 119-135

Reference Books: 1. John Yuan, Reza Langari, Fuzzy Logic Intellegence, Control and Information, Pearson

Education, New Delhi, 1999.

62

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.

4. Anjan Mukkerjee, S.Bhattacharya Halder, Fuzzy Set and Fuzzy Topology, Narosa

Publications, 2015.


Fuzzy Mathematics T. Mathi Sujitha O. V. Shanmugasundaram

GRAPH THEORY


Hours per week: 5 Total Instructional Hours: 60 Learning Objective: To teach the students about Graph Theory and its applications

UNIT I (12 Hours)

Graphs and sub graphs - Operations on Graphs - Isomorphism of Graphs - Walks, paths and

cycles

UNIT II (12 Hours)

Connected graphs - Connected components of a graph - k-Disconnected graph-Trees -

spanning trees of graph - Algorithm for finding a spanning tree of a connected graph-

Cotree - Rank & nullity- Eccentricity, Radius, center-Weighted graphs - Krushkal’s

algorithm to find an optimal tree of a weighted graph

UNIT III (12 Hours)

Connectivity- Cut Vertex- Vertex cut- Vertex connectivity- Cut edge- Cut set- Fundamental

cut set- Edge connectivity- Separable graph- k-connected graph- Block- Subdivision of an

edge

UNIT IV (12 Hours)

Digraphs - In degrees and Out degrees- Types of digraphs- Isomorphism of digraphs-

Disubgraph - Directed walk, trail, Path& Cycles- converse digraph -Connectedness of a

digraph -Components of a digraph-Tournament.

UNIT V (12 Hours)

Matrix Representation - Adjacency matrix- Incidence matrix- Matrices and Digraphs -

Connectedness and adjacency matrix- Reduced incidence matrix- Unimodular matrix -

Reachability matrix- Distance matrix- detour matrix.


and apply the concept of graph theory.

Text Book: S. Kumaravelu & Susheela Kumaravelu, Graph Theory, Janki Calender Corporation,

Sivakasi, 1999.


Unit II : Page No.56 to 64, 66 to 77, 88 to 90

Unit III : Page No. 111 to 128

Unit IV : Page No. 316 to 322, 324, 325.

Unit V : Page No. 347to 350, 352 to 357, 355 to 365

Reference Books: 1. Narsingh Deo, Graph Theory with applications to engineering and computer science,

Prentice hall of India, New Delhi, 2003.

63

2. S. Kumaravelu & SusheelaKumaravelu, Graph Theory, JankiCalender Corporation,

Sivakasi, 1999.

3. T. Veerarajan, Discrete Maths with Graph Theory and Combinatorics, Tata McGraw

Hill Publishing Company, 2007.

4. Gary Chartrand, Pring Zhang, Introduction to Graph theory, Mc Graw Hill

publications PVT Ltd, New Delhi, 2015.


Graph Theory R. Shanmugapriya R. Uma

ACTUARIAL MATHEMATICS


Hours per week: 6 Total Instructional Hours: 75 Learning Objective: To teach the students about Annuities, Premium calculation,

Commutation functions, Population functions and risk models.

UNIT I (15 Hours)

Basics of Probability and Interest: Probability - Theory of Interest: Variable Interest Rates -

Continuous-time Payment Streams – Problems.

Interest & Force of Mortality: More on Theory of Interest - Annuities & Actuarial Notation

- Loan Amortization & Mortgage Refinancing - Illustration on Mortgage Refinancing -

Computational illustration in Splus - Coupon & Zero-coupon Bonds Force of Mortality &

Analytical Models: Comparison of Forces of Mortality – Problems

UNIT II (15 Hours)

Probability & Life Tables: Interpreting Force of Mortality - Interpolation Between Integer

Ages - Binomial Variables & Law of Large Numbers: Exact Probabilities, Bounds &

Approximations - Simulation of Life Table Data: Expectation for Discrete Random Variables

- Rules for Manipulating Expectations - Some Special Integrals – Problems

Expected Present Values of Payments: Expected Payment Values: Types of Insurance &

Life Annuity Contracts - Formal Relations among Net Single Premiums - Formulas for Net

Single Premiums - Expected Present Values for m = 1 - Continuous Contracts & Residual

Life: Numerical Calculations of Life Expectancies – Problems.

UNIT III (15 Hours)

Premium Calculation: m-Payment Net Single Premiums: Dependence Between Integer &

Fractional Ages at Death - Net Single Premium Formulas – two cases

Approximate Formulas via first case - Net Level Premiums - Benefits Involving Fractional

Premiums – Problems.

Commutation & Reserves: Idea of Commutation Functions: Variable-benefit Commutation

Formulas- Secular Trends in Mortality - Reserve & Cash Value of a Single Policy:

Retrospective Formulas & Identities - Relating Insurance & Endowment Reserves -Reserves

under Constant Force of Mortality - Reserves under Increasing Force of Mortality - Recursive

Calculation of Reserves - Paid-Up Insurance - Select Mortality Tables & Insurance -

Illustration of Commutation Columns - Examples on Paid-up Insurance – Problems

UNIT IV (15 Hours)

Population Theory: Population Functions & Indicator Notation: Expectation & Variance of

Residual Life - Stationary-Population Concepts - Estimation Using Life-Table Data – Non-

stationary Population Dynamics: - Appendix: Large-time Limit of ¸(t; x) - Population Word

Problems.Estimation from Life-Table Data: General Life-Table Data - ML Estimation for

Exponential Data - MLE for Age Specific Force of Mortality: Extension to Random Entry &

Censoring Times - Kaplan-Meier Survival Function Estimator – Problems.

64

UNIT V (15 Hours)

Risk Models & Select Mortality: Proportional Hazard Models - Excess Risk Models -

Select Life Tables – Problems.

Multiple Decrement Models: Multiple Decrement Tables - Death-Rate Estimators: Deaths

Uniform within Year of Age -Force of Mortality Constant within Year of Age - Cause-

Specific Death Rate Estimators - Single-Decrement Tables and Net Hazards of Mortality -

Cause-Specific Life Insurance Premiums – Problems Central Limit Theorem & Portfolio

Risks – problems

Learning Outcome: After the completion of the course the student will be able to apply

Statistical tools in Life insurance related problems.

Text Books:

Eric V. Slud, Actuarial Mathematics and Life-Table Statistics, Mathematics Department,

University of Maryland, College Park, Edition 2001

Reference Books:

1. Jerry Alan Veeh, Lecture Notes on Actuarial Mathematics (E-notes), 2006.

2. Bowers, N., Gerber, H., Hickman, J., Jones, D. and Nesbitt, C. Actuarial

Mathematics, Society of Actuaries, Itasca, Ill. 1986.

3. Feller, W. An Introduction to Probability Theory and its Applications, vol.I, 2nd ed.

Wiley, New York, 1957.

4. Gerber, H. Life Insurance Mathematics, 3rd ed. Springer-Verlag, New York, 1997.

5. Hogg, R. V. and Tanis, E. Probability and Statistical Inference, 5th ed. Prentice-Hall

Simon & Schuster, New York, 1997


Actuarial Mathematics K. Dhanalakshmi R. Senthil Amutha

65

1.

2.Or Or

3.

4.

EXTRA CREDIT COURSES

5. and

CURRICULUM STRUCTURE OF UG PROGRAMS

(2017 – 18 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

66

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



Max. Marks : 50

67

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 ModelExaminations, the question paper pattern to be followed as given below:


Section A



Multiple Choice

Section B





Section C





(Reduce these marks to a maximum of 05 i.e., (Marks obtained/75) X 10 ===C)

68

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)

4. Attendance : Reduced to a Maximum of 05 Marks (E)

__________

Internal marks Score:F= (A +B)/2 + C + D + E = 25 Marks

__________

69

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%

c. Final review - For a maximum of 15%

______

Total - For a maximum of 40%

______

70

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

III. EXTRA CREDIT COURSE

Marks will be converted to Grades for Extra credit courses as given below for UG

programmes

S.No Marks Grade

1 90-100 O-Outstanding

2 75-89 D-Distinction

3 60-74 A-Very Good

4 50-59 B- Good

5 40-49 C- Average

6 Less than 40 R- Reappear

71

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





72

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

73


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

Section B

Attempt all questions ( from Unit IV & V)

05 questions – each carrying five marks 07X 05 = 35

74

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





End Semester Examination

Part IV-Non Major Elective: English for Competency – I




Max. Marks : 75

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

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

__________


__________

76

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.

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.

77

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

78

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] = ------------------

ΣnΣi 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)

79

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.

………………………………………………………………………………………………

80

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:

………………………………………………………………………………………................

SREE SARASWATHI THYAGARAJA COLLEGE …stc.ac.in/syllabus/2017-2018/B.Sc_Mathematics.pdfbooks...

Documents

Transcript of SREE SARASWATHI THYAGARAJA COLLEGE …stc.ac.in/syllabus/2017-2018/B.Sc_Mathematics.pdfbooks...