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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]
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Part I Tamil
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Credits : 3 Course Code : N7BMA1T51 – A
Hours Per Week : 6 Total Instructional hours- 75
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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
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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
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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
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b$afhe;jd; - ehd; ,Uf;fpnwd;
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g{kzp - bjhiyt[
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eh"]rpy] ehld] - Noa g{ Nlw]f
re]jpuh - g{idfs] ,y]yhj tPL
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K.tujuhrdhh; - fhpj;Jz;L
myF IV ,yf;fpa tuyhW gh.nt : 10
1. ftpij ,yf;fpaj;jpd; njhw;wKk; tsh;r]rpa[k;
2. rpWfijapd; njhw;wKk; tsh;r;rpa[k;
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gapw;rp VL- ey;y jkpHpy; vGJtJ vg;go>
1. vGj;J khw;wj;jhy; Vw;gLk; gpiHfs;
2. thf;fpa';fspy; Vw;gLk; gpiHfs;
3. ty;ypdk; kpFk;/ kpfh ,l';fs;
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5. ,yf;fzf; Fwpg;g[
rhpahd brhw;fisf; fz;lwpjy;
ftpij vGJjy;
fojk;/ tpz;zg;gk; tiujy;
8
khzth; bgWk; jpwd; (Learning Outcome) : jkpH; ,yf;fpa';fspy; ,f;fhy tifg;ghLfis mwpe;J bfhs;Sjy; kw;Wk;
ftpij/ rpWfij vGj KaYk; jd;ik. brhw;fisg ;gpiHapd;wp vGj fw;Wf;bfhz;ldh;.
ghl E}y]fs]
1. ftpijj] jpul;L - _ ru!;tjp jpahfuh$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.
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67 - gPl;lh;!; rhiy
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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.
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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
Hours per Week: 6 Total Instructional hours: 75
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
Hours per Week: 6 Total Instructional hours: 75
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
Credits: 4 Course Code: N7BMA1T73
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.
Course Prepared by Verified by
Foundations Of Higher Mathematics S. Sasikala K. Sivasamy
SEMESTER I
THEORY OF PROBABILITY
Credits: 5 Course Code: N7BMA1T74
Hours per week: 5 Total Instructional Hours: 60
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.
Course Prepared by Verified by
Theory of Probability A. Shak Dawood R. Shanmugapriya
13
SEMESTER I
PROGRAMMING IN C & INFORMATION SECURITY
Credits: 5 Course Code: N7BMA1T75
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.
Course Prepared by Verified by
Programming In C& Information Security S. Sudha R. Gunavathi
SEMESTER I
PROGRAMMING IN C& INFORMATION SECURITY LAB
(PRACTICAL)
Credits: 2 Course Code: N7BMA1P76
Hours per week:3 Total Instructional Hours: 35
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.
Course Prepared by Verified by
Programming In C& Information
Security (Practicals)
S. Sudha R. Gunavathi
15
SEMESTER – I
ENVIRONMENTAL STUDIES
Credits : 2 Course Code :N7BMA1T97
Hours per week:2 Total Instructional Hours: 27
1.1. Definition, scope and importance
1.2. Need for public awareness
1.3. Natural resources
1.3.1. NATURAL RESOURCES AND ASSOCIATED PROBLEMS (6 Hours)
a. Forest resources: use and over-exploitation, deforestation, case studies. Timber
extraction, mining, dams and their effects on forests and tribal people.
b. Water resources: use and over- utilization of surface and ground water, floods,
drought, conflicts over water, dams- benefits and problems
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
Hours per Week: 6 Total Instructional hours: 75
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 $^d] gjpg]g[
2.jkpH; ,yf]fpa tuyhW - K.tujuhrd]
rhfpj]a mfhlkp btspaPL/ g[Jjpy]yp.
kW gjpg]g[ - 1994.
ghh]it E}y]fs]
1.r']f ,yf;fpaj; bjhFg;g[f;fs; - epa{ br";Rhp g[f; Qt[!;
41/gp rpl;nfh ,d;l!;l;hpay; v!;nll;
mk;gj;J}h; / brd;id - 98
,uz;lhk; gjpg;g[ - 2004.
2.e.Kj;Jr;rhkp fl;Liufs; - bjhFg;g[ rp. mz;zhkiy
fht;ah gjpg;gfk;
16- 2 tJ FWf;Fj; bjU
ou!;l; g[uk; /nfhlk;ghf;fk;
brd;id -24/ gjpg;g[ - 2005.
3. jkpH;f;fhjy; - t.Rg. khzpf;fdhh;
kzpthrfh; gjpg;gfk;
brd;id.
Kjy; gjpg;g[ - 2007.
4.gf;jp ,yf;fpak; - g. mUzhryk;
irt rpj;jhe;j E}w;gjpg;g[f; fHfk;
brd;id -06/gjpg;g[ - 1990.
5. irtKk; rkzKk; - ntYg]gps]is
vdp ,e;jpad; gjpg;gfk;
102vz; 57 gp.vk;.$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;
fw;f! Kj;jkpH; gjpg;gfk;
9 v nkf;kpy;yd; fhydp
e';if ey;Y}h;/ brd;id – 61.
gjpg;g[ -2006.
Course Prepared by Verified by
Tamil-II Dr. J. Sairabanu Dr. S. Rajalatha
19
SEMESTER- II
PART-I, PAPER-II, HINDI
Credits : 3 Course Code :N7BMA2T51-B
Hours per Week: 6 Total Instructional hours: 75
(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
Hours per Week: 6 Total Instructional hours: 75
Prose: Non-fiction
This paper will have the following five units:
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
Hours per Week: 6 Total Instructional hours: 75
Prescribed text : ALORS I
Units : 6 – 10
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
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.
Course Prepared by Verified by
English For Enrichment-II I. Indusoodan K. Mahalakshmi
SEMESTER II
ADVANCED CALCULUS
Credits: 4 Course Code: N7BMA2T73
Hours per week: 5 Total Instructional Hours: 60
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 ,Page 210-211,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.
Course Prepared by Verified by
Advanced Calculus K. Soundari K. Sivasamy
SEMESTER II
MATHEMATICAL STATISTICS
Credits: 5 Course Code: N7BMA2T74
Hours per week:5 Total Instructional Hours: 60
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.
Course Prepared by Verified by
Mathematical Statistics A. Shak Dawood A. Palanisamy
23
SEMESTER II
NUMBER THEORY
Credits: 2 Course Code: N7BMA2T75
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
Course Prepared by Verified by
Number Theory S. Sasikala R. Uma
24
SEMESTER II
STATISTICS PRACTICAL USING SPSS LAB
Credits: 2 Course Code: N7BMA2P76
Hours per week:3 Total Instructional Hours: 35
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.
Course Prepared by Verified by
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.
Course Prepared by Verified by
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.
Kjy; gjpg;g[ - 2015.
ghh;it E}y]fs]
1. kdtsf]fiybjhFg]g[ - 1 - cyf rKjha nrth r';fk;/
ntjhj;jphp gjpg;gfk;/
101/,uzpad; bjU/ <nuhL.
Kjy; gjpg;g[ - 1983.
2. kdtsf]fiy bjhFg]g[[- 2 - cyf rKjha nrth r';fk;/
ntjhj;jphp gjpg;gfk;/
101/,uzpad; bjU/ <nuhL.
Kjy; gjpg;g[ - 1990.
28
3. kjKk; kdpjDk; -cyf rKjha nrth r';fk;/
ntjhj;jphp gjpg;gfk;/
101/,uzpad; bjU/ <nuhL.
Ie;jhk; gjpg;g[ - 2012.
4. czt[ Kiw - cyf rKjha nrth r';fk;/
ntjhj;jphp gjpg;gfk;/
101/,uzpad; bjU/ <nuhL.
Kjy; gjpg;g[ - 2006.
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] - $p.a[.nghg].
6. Sound Health through yoga-Dr.Chandrasekaran
7. Light on yoga-BKS.Iyenger
Course Prepared by Verified by
kdtsf]fiynahfh jhs] II Mrs. V. Amsaveni Dr. S. Rajalatha
29
SEMESTER- III - \d]whk] gUtk]
gFjpIjkpH] III
Part I Tamil III
jhs; - III
Credits: 3 Course Code : N7BMA3T51-A
Hours Per week: 6 Total Instructional hours: 75
ghl nehf;fk; (Learning Objective) :
fhg;gpa ,yf;fpa';fspd] tHpna r\ftpay;/ murpay;/ khDltpay; Mfpatw]wpd]
rpwg]g[f]fisf] fw;gpj;jy; ,g;ghlj;jpd; nehf;fkhFk;. fhg;gpaj; njhw;wj;jpw;fhd
fhuz';fisa[k; mJ cz;lhf;fpf;fhl;Lk; gz;ghl;L mirt[fisa[k; mwptij
Kf;fpakhff; bfhs;fpwJ.
(,jpfhr';fs;/ fhg]gpa']fs]/ gf;jp ,yf;fpak;/ ,yf;fpa tuyhW - ,jHpay;(jd;Kaw;rp
gog;g[),yf;fzk;)
myFI,jpfhr';fs; gh.nt: 17
fk;guhkhazk; - ke;jiu R{H;r;rpg; glyk;
tpy;;ypghujk; - fpUl;ozd; J}Jr; rUf;fk;(njh;t[ bra;ag;gLfpd;w
50 ghly;fs;)
myF II fhg]gpa']fs]
gh.nt:17
rpyg;gjpfhuk; - fdhj; jpwk; ciuj;j fhij
kzpnkfiy - rpiwf;nfhl;lk; mwf;nfhl;lkhf;fpa fhij
rPtfrpe;jhkzp - nfhtpe;ijahh; ,yk;gfk;
myFIIIgf;jp fhg;gpa';fs; gh.nt: 15
bghpag[uhzk; - jpUePyfz;l ehadhh; g[uhzk;
Fz';Fo k!;jhd; rhfpg[ - jtk] bgw ntz]Lk] vdy] (5 ghly;fs;)
vr].V.fpUl]ozg]gps;is - ,ul;rzpa ahj;jphpfk; – rpYitg]ghLfs]
myFIV,yf]fpa tuyhW gh.nt: 12
1. fhg;gpaj;jpd; njhw;wKk; tsh;r;rpa[k;
2.g[uhz';fs; kw]Wk] ,jpfhr';fspd] tsh;epiy
jd;Kaw;rpg; gog;g[ - ,jHpay;
myFV ,yf;fzk; gh.nt:14
ahg;gpyf;fzk; - bra]a[s; cWg]g[f;fs; - gh – gh tiffs;
jz;oay';fhufhg;gpa ,yf;fzk;
khzth; bgWk; jpwd; (Learning Outcome) :
,jpfhrk;/ fhg;gpa';fs; Mfpatw;wpd; rpwg;g[f;fis czh;fpd;wdh;. fhg;gpa
,yf;fz';fisa[k; mwpfpd;wdh;. ,jHpaypd; Kf;fpaj;Jtj;ija[k;
bjhpe;Jbfhs;fpd;wdh;.
ghl E}y]fs]
1. ,jpfhr';fs]/ fhg]gpa']fs] jpul;L - _ ru!;tjp jpahfuh$h fy;Y}hp btspaPL
2015 $^d] btspaPL
2. jkpH; ,yf]fpa tuyhW - K.tujuhrd]
rhfpj]a mfhlkp btspaPL/ g[Jjpy]yp.
kW gjpg]g[ - 1994.
3. ,jHpay] fiy - kh.gh.FUrhkp
jhad;gfk;
6 tJ bjU/ v.nf.vk;.$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
,uz;lhk; gjpg;g[ - 2009.
4.fhg;gpa nehf;fpy; fk;guhkhazk; - Kidth;.m.ghz;Lu';fd;
epa{ br";Rhp g[f; Qt[!;
41/gp rpl;nfh ,d;l!;l;hpay; v!;nll;
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.
Course Prepared by Verified by
Tamil III Dr. J. Nishanthini Dr. S. Rajalatha
SEMESTER- III
PART-I, PAPER-III, HINDI
Credits: 3 Course Code : N7BMA3T51-B
Hours Per week: 6 Total Instructional hours: 75
(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
Hours Per week: 6 Total Instructional hours: 75
Poetry
This paper will have the following five units:
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
Hours Per week: 6 Total Instructional hours: 75
Prescribed text : ALORS II
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
32
SEMESTER-III
ENGLISH FOR ENRICHMENT – III
Credits: 3 Course Code: N7BMA3T52
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
On successful completion of the course, the students should have acquired.
• 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.
Course Prepared by Verified by
English For Enrichment-III I. Indhusoodan R. Vennila Nancy
Christina
SEMESTER III
CLASSICAL ALGEBRA & TRIGONOMETRY
Credits: 4 Course Code: N7BMA3T73
Hours per week: 5 Total Instructional Hours: 60
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.
Course Prepared by Verified by
Classical Algebra And Trignomentry S. Sasikala K. Sathyapriya
34
SEMESTER III
DIFFERENTIAL EQUATIONS AND LAPLACE TRANSFORMS
Credits: 5 Course Code: N7BMA3T64
Hours per week: 5 Total Instructional Hours: 60
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.
Course Prepared by Verified by
Differential Equations and
Laplace Transformations
V. Madhan K. Sivasamy
35
SEMESTER – III
FUNDAMENTALS OF ACCOUNTING
Credits: 5 Course Code: N7BMA3T75
Hours per week: 6 Total Instructional Hours: 75
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.
Course Prepared by Verified by
Fundamentals of Accounting P. Senthil Kumar I. Siddiq
36
SEMESTER- III - \d]whk] gUtk]
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;
fw;f! Kj;jkpH; gjpg;gfk;
9 v nkf;kpy;yd; fhydp
e';if ey;Y}h;/ brd;id – 61.
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
Course Prepared by Verified by
Basic Tamil-I Dr. M. Revathi Dr. S. Rajalatha
37
SEMESTER- III - \d]whk] gUtk]
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.$fd]ehjd] - kpl]lha]f]fhud]
mfpyd]] - Kjy] yl]rpak]
Nlhkzp - ehfyp']fkuk]
myF – V bkhHp bgah]g]g[/ mYtyff] foj']fs] gh.nt:05
ghh]it E}y]
1. jkpHpy] rpWfij gpwf]fpwJ - rp.R. bry;yg;gh
fhyr;RtL gjpg;gfk;
669 - nf.gp.rhiy/ ehfh;nfhtpy; - 01
gjpg;g[ - 2007.
2. r']f ,yf;fpaj; bjhFg;g[f;fs; - epa{ br";Rhp g[f; Qt[!;
41/gp rpl;nfh ,d;l!;l;hpay; v!;nll;
mk;gj;J}h; / brd;id - 98
,uz;lhk; gjpg;g[ - 2004
3.gf;jp ,yf;fpak; - g. mUzhryk;
irt rpj;jhe;j E}w;gjpg;g[f; fHfk;
brd;id -06/gjpg;g[ - 1990.
4.bfh']Fnjh] thH]f]if - ,. ,uh$khh;j;jhz;ld;
a[idl;bll; iul;lh;!;
67 - gPl;lh;!; rhiy
,uhag;ngl;il/ brd;id -14.
Kjy; gjpg;g[ -2003
Course Prepared by Verified by
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
Hours per Week: 2 Total Instructional hours: 27
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.
Course Prepared by Verified by
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
Hours per Week: 6 Total Instructional hours: 75
ghl nehf;fk; (Learning Objective) :
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 $^d] gjpg]g[.
2. jkpH; ,yf]fpa tuyhW -K.tujuhrd]
rhfpj]a mfhlkp btspaPL/ g[Jjpy]yp.
kW gjpg]g[ - 1994.
3. I.V.v!;.njh;t[k]
mqFKiwa[k; - bt.,iwad]g[
epa{ br";Rhp g[f; Qt[!;
41/gp rpl;nfh ,d;l!;l;hpay; v!;nll;
mk;gj;J}h; / brd;id - 98
,uz;lhk; gjpg;g[ - 2007
40
ghh;it E}y;fs]
1.r']f ,yf;fpaj; bjhFg;g[f;fs; - epa{ br";Rhp g[f; Qt[!;
41/gp rpl;nfh ,d;l!;l;hpay; v!;nll;
mk;gj;J}h; / brd;id - 98
,uz;lhk; gjpg;g[ - 2004.
2. gjpbdz; fPH;f;fzf;F
E}y;fs; - bjhFg;g[ E}y] - th;;j;jkhdd; gjpg;gfk;
V.Mh;.Mh;. fhk;g;bsf;!;
141/ c!;khd; rhiy/
jpahfuha efh;
brd;id - 17
,uz;lhk; gjpg;g[ - 1999.
3. jkpH; mu';fpay; Mtzk; - btsp. ,u';fuh$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.
Course Prepared by Verified by
Tamil-IV Dr. G. Malarvizhi Dr. S. Rajalatha
SEMESTER- IV
PART-I, PAPER-IV, HINDI
Credits : 3 Course Code : N7BMA4T51-B
Hours per Week: 6 Total Instructional hours: 75
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
Hours per Week: 6 Total Instructional hours: 75
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
Hours per Week: 6 Total Instructional hours: 75
Prescribed text : ALORS II
Units 6 – 10
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 – IV
ENGLISH FOR ENRICHMENT – IV
Credits : 3 Course Code : N7BMA4T72
Hours Per week: 6 Total Instructional hours: 75
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
Unit – III (15 Hours)
With the Photographer - Stephen Leacock
Indian Weavers- Sarojini Naidu
Cinderella-Retold by Arthur Rackham
Unit – IV (15 Hours)
A Snake in the Grass –R.K .Narayan
Solitude- Alexander Pope
The Fly- Katherine Mansfield
42
Unit – V (15 Hours)
Tolerance-T.M.Forster
The Sunne Rising-John Donne
The Nightingale and the Rose-Oscar Wilde
Learning Outcome
On successful completion of the course, the students should have acquired.
• 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.
Course Prepared by Verified by
English For Enrichment-IV V. Subash Chandra Bose R. Vennila Nancy
Christina
SEMESTER IV
ANALYTICAL GEOMETRY OF 3 DIMENSIONS
Credits: 4 Course Code: N7BMA4T63
Hours per week: 4 Total Instructional Hours: 50
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
Course Prepared by Verified by
Analytical Geometry for 3D T. Rameshkumar A. Shak Dawood
SEMESTER IV
MODERN ALGEBRA
Credits: 5 Course Code: N7BMA4T74
Hours per week: 6 Total Instructional Hours: 75
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.
Course Prepared by Verified by
Modern Algebra M. Thangamani R. Senthil Amutha
SEMESTER – IV
COST & MANAGEMENT ACCOUNTING
Credits: 5 Course Code:N7BMA4T75
Hours per week: 6 Total Instructional hours: 75
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
Unit – III (15 Hours)
Management Accounting: Meaning, Scope, Objectives- Relationship between Management
Accounting, Financial Accounting and Cost Accounting. Financial statement analysis:
comparative, common size and trend analysis.
Unit – IV (15 Hours)
Ratio Analysis - Interpretation, benefits and limitations.Classification of ratios:Liquidity –
Solvency- Profitabilityratio.
Unit – V (15 Hours)
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
Course Prepared by Verified by
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
Hours per week: 2 Total Instructional hours: 27
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
,uz;lhk; gjpg;g[ - 1999.
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.
Course Prepared by Verified by
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
Hours per week: 2 Total Instructional hours: 27
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[!;
41/gp rpl;nfh ,d;l!;l;hpay; v!;nll;
mk;gj;J}h; / brd;id - 98
,uz;lhk; gjpg;g[ - 2004
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
,uz;lhk; gjpg;g[ - 2009.
Course Prepared by Verified by
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.
Course Prepared by Verified by
Basic English For Competitive
Examinations II
R. Vennila Nancy
Christina
K. Mahalakshmi
SEMESTER –V
DISCRETE MATHEMATICS
Credits: 4 Course Code: N7BMA5T61
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.
Learning Outcome: After the completion of the course the student will be able to understand
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
Course Prepared by Verified by
Discrete Mathematics V. Madhan R. Senthil Amutha
SEMESTER V
REAL ANALYSIS – I
Credits: 5 Course Code: N7BMA5T72
Hours per week: 5 Total Instructional Hours: 60
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
Course Prepared by Verified by
Real Analysis-I S. Sathiya R. Senthil Amutha
SEMESTER V
COMPLEX ANALYSIS - I
Crédits: 5 Course Code:N7BMA5T73
Hours per week: 6 Total Instructional Hours: 75
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
Course Prepared by Verified by
Complex Analysis-I R. Senthil Amutha R. D. Beulah
SEMESTER VI
LINEAR ALGEBRA
Credits: 5 Course Code: N7BMA6T74
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.
Learning Outcome: After the completion of the course the student will be able to solve
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
Course Prepared by Verified by
Linear Algebra M. Thangamani R. Senthil Amutha
SEMESTER V
OPERATIONS RESEARCH - I
Credits: 2 Course Code: N7BMA5T76
Hours per week: 3 Total Instructional Hours: 35
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.
Course Prepared by Verified by
Operations Research-I K. Kanneeswari R. Chitradevi
SEMESTER V
MATHEMATICS FOR COMPETITIVE EXAMINATIONS
Credits: 2 Course Code: N7BMA5T67
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
Course Prepared by Verified by
Mathematics for Competitive
Examinations
M. Thangamni R. Senthil Amutha
SEMESTER VI
REAL ANALYSIS - II
Credits: 5 Course Code: N7BMA6T71
Hours per week: 6 Total Instructional Hours: 75
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
illustrative examples.
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
from illustrative examples.
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
illustrative examples.
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
from illustrative examples.
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
Course Prepared by Verified by
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:
Learning Outcome: After the completion of the course the student will be able to understand
various theorems on complex integration and evaluate definite integrals using calculus of
Residues.
Text Book:
S. Arumugam, A. Thangapandi Isaac,A.Somasundaram,Complex analysis,SCITECH
publications,Chennai,2007
Unit I : Page No. 131 to 161
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
Course Prepared by Verified by
Complex Analysis-II R. Senthil Amutha R. D. Beulah
SEMESTER VI
MECHANICS
Credits: 5 Course Code: N7BMA3T73
Hours per week: 5 Total Instructional Hours: 60
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
Learning Outcome: After the completion of the course the student will be able to solve
problems on forces acting at a point, coplanar forces. Also they will be able to apply the laws
of motion for projectiles, laws of 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.
Course Prepared by Verified by
Mechanics T. Rameshkumar R. Uma
SEMESTER VI
OPERATIONS RESEARCH II
Credits: 2 Course Code: N7BMA6T66
Hours per week: 3 Total Instructional Hours: 35
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 I: Page No. 443 to 457
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.
Course Prepared by Verified by
Operations Research II S. Sathiya T. Rameshkumar
LIST OF ELECTIVES
VECTOR CALCULUS AND FOURIER SERIES
Credits: 5 Course Code: N7BMA5T75-A
Hours per week: 5 Total Instructional Hours: 60
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
Course Prepared by Verified by
Vector Calculus And Fourier Series T. Rameshkumar A. Shak Dawood
AUTOMATA THEORY
Credits: 5 Course Code: N7BMA5T65-B
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)
Unit I: Page No. 299 to 303
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 IV: Page No. 97 to 121
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
Course Prepared by Verified by
Automata Theory V. Madhan A. Shak Dawood
NUMERICAL METHODS
Credits: 5 Course Code: N7BMA6T64-A
Hours per week: 5 Total Instructional Hours: 60
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.
Learning Outcome: After the completion of the course the student will be able to solve
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 I: Page No. 82 to 105
Unit II: Page No. 113 to 120, 140 to 146
Unit III: Page No. 193 to 202, 244 to 264
Unit IV: Page No. 265 to 295
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.
Course Prepared by Verified by
Numerical Methods N. Ganesh Moorthi O. V. Shanmugasundaram
FUZZY MATHEMATICS
Credits: 5 Course Code: N7BMA6T74-B
Hours per week: 5 Total Instructional Hours: 60
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.
Course Prepared by Verified by
Fuzzy Mathematics T. Mathi Sujitha O. V. Shanmugasundaram
GRAPH THEORY
Credits: 5 Course Code: N7BMA6T65-A
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.
Learning Outcome: After the completion of the course the student will be able to understand
and apply the concept of graph theory.
Text Book: S. Kumaravelu & Susheela Kumaravelu, Graph Theory, Janki Calender Corporation,
Sivakasi, 1999.
Unit I : Page No. 1 to 54
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.
Course Prepared by Verified by
Graph Theory R. Shanmugapriya R. Uma
ACTUARIAL MATHEMATICS
Credits: 5 Course Code: N4BMA6T76-B
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
Course Prepared by Verified by
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
Inbuilt Choice [Either / Or]
(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,
General Knowledge and English for Competency – II)
Syllabus : Third & Fourth Units
Working Days : On completion of 60 working days, approximately
Duration : Two Hours
Max. Marks : 50
67
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
Inbuilt Choice [Either / Or]
(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,
General Knowledge and English for Competency – II)
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:
Question Paper Pattern
Section A
Attempt all questions
10 questions – each carrying one mark 10 X 01 = 10
Multiple Choice
Section B
Attempt all questions
(Minimum one question shall be asked from each unit)
05 questions – each carrying five marks 05 X 05 = 25
Inbuilt Choice [Either / Or]
Section C
Attempt all questions
(Minimum one question shall be asked from each unit)
05 questions - each carrying eight marks 05 X 08 = 40
Inbuilt Choice [Either / Or]
(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
______
Total - For a maximum of 40 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.
a. Record - For a maximum of 4 Marks
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
_________
Total - For a maximum of 20 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%
______
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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
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Evaluation system for Part-IV Non Major Elective Course
(English for Competency – I,
General Knowledge and English for Competency – II)
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
Syllabus : First Two Units
Working Days : On completion of 30 working days, approximately
Duration : Two Hours
Max. Marks : 50
Question Paper Pattern
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
Working Days : On completion of 65 working days approximately,
Duration : Two Hours
Max. Marks : 50
Question Paper Pattern
Section A
Attempt all questions
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
Inbuilt Choice [Either / Or]
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Model Examinations
Syllabus : All Five Units
Working Days : On completion of 85 working days approximately,
Examination : Commences any day from 86th working day to 90th working day.
Duration : Three Hours
Max. Marks : 75
Question Paper Pattern
Section A
Attempt all questions
10 questions – each carrying one mark1 10 X 01 = 10
Multiple Choice
Section B
Attempt all questions
05 questions – each carrying five marks 05 X 05 = 25
Inbuilt Choice [Either / Or]
Section C
Attempt all questions
05 questions – each carrying eight marks 05 X 08 = 40
Inbuilt Choice [Either / Or]
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
Syllabus : First Two Units
Working Days : On completion of 30 working days, approximately
Duration : Two Hours
Max. Marks : 50
73
Question Paper Pattern
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
Working Days : On completion of 65 working days approximately,
Duration : Two Hours
Max. Marks : 50
Question Paper Pattern
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)
06 questions – each carrying five marks 06 X 05 = 30
Inbuilt Choice [Either / Or]
Model Examinations
Syllabus : All Five Units
Working Days : On completion of 85 working days approximately,
Examination : Commences any day from 86th working day to 90th working day.
Duration : Three Hours
Max. Marks : 75
Question Paper Pattern
Section A
Attempt all questions (from Unit I,II& III)
40 questions – each carrying one mark 40 X 01 = 40
Multiple Choice
Section B
Attempt all questions ( from Unit IV & V)
05 questions – each carrying five marks 07X 05 = 35
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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
Syllabus : All Five Units
Working Days : On completion of a minimum of 90 working days.
Duration : Three Hours
Max. Marks : 75
Question Paper Pattern
Section A
Attempt all questions
10 questions – each carrying one mark 10 X 01 = 10
Multiple Choice
Section B
Attempt all questions
(Minimum one question shall be asked from each unit)
05 questions – each carrying five marks 05 X 05 = 25
Inbuilt Choice [Either / Or]
Section C
Attempt all questions
(Minimum one question shall be asked from each unit)
05 questions – each carrying eight marks 05 X 08 = 40
Inbuilt Choice [Either / Or]
End Semester Examination
Part IV-Non Major Elective: English for Competency – I
Syllabus : All Five Units
Working Days : On completion of a minimum of 90 working days.
Duration : Three Hours
Max. Marks : 75
75
Question Paper Pattern
Section A
Attempt all questions
10 questions – each carrying one mark 10 X 01 = 10
Multiple Choice
Section B
Attempt all questions
05 questions – each carrying five marks 05 X 05 = 25
Inbuilt Choice [Either / Or]
Section C
Attempt all questions
05 questions – each carrying eight marks 05 X 08 = 40
Inbuilt Choice [Either / Or]
End Semester Examination
Part IV-Non Major Elective: General Knowledge and English for Competency – II
Syllabus : All Five Units
Working Days : On completion of a minimum of 90 working days.
Duration : Three Hours
Max. Marks : 75
Question Paper Pattern
Section A
Attempt all questions (from Unit I,II& III)
40 questions – each carrying one mark 40 X 01 = 40
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.
a. Record - For a maximum of 12 Marks
b. Algorthim (2) - For a maximum of 24 Marks
c. Execution & Output(2) - For a maximum of 24 Marks
__________
Total - For a maximum of 60 Marks
__________
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For Practical examination with coding, 60% of External assessment marks can
be distributed in the following pattern.
a. Record - For a maximum of 12 Marks
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
__________
Total - For a maximum of 60 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,
Sree Saraswathi Thyagaraja College,
Pollachi – 642 107.
Through: 1. Head of the Department,
Department of ……………….……….,
Sree Saraswathi Thyagaraja College,
Pollachi – 642 107.
2. Dean of the Department
Faculty of ……………………………….,
Sree Saraswathi Thyagaraja College,
Pollachi – 642 107.
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:
………………………………………………………………………………………................
Recommended