Department of Mathematics

Introduction

The Department of Mathematics of Dhanalakshmi Srinivasan College of Arts And Science for Women was established in November 1996. The Department was offering B.Sc., M.Sc., & M.Phil (Full-Time) Mathematics courses were started in 1996, 2003 & 2005 respectively.

A student of Mathematics with good analytical skills and logical reasoning can excel in any walk of life. The Department of Mathematics focuses on pure, applied and applicable Mathematics catering to students of varied backgrounds to help them understand their potential and enrich their lives. The Department offers supporting and optional courses for students majoring in science, commerce and business administration. The curriculum has been designed with emphasis on the application of concepts.

The Department has highly qualified and motivated faculty that include research scholars. They regularly attend seminars, workshops and conferences to keep themselves current for efficient classroom management and to meet the challenges of a fast changing technical world.

Department Objectives

The core objectives of the Department are to impart to students logical thinking, analytical reasoning and problem solving skills; to equip them with more technological skills and scientific computing techniques based on mathematical methods to meet the growing demand in the industrial, marketing and communication sectors; to widen their horizon of knowledge with a focus on research papers; focus on value based education for intellectual enhancement to suit the context of globalization; introduce realistic application of Mathematics in related sciences; and to enable the student to appreciate the intrinsic aspects of Mathematics.

The ZENITH STAR club acts as a forum for young mathematicians. The ultimate aim of the club is to teach Mathematics with fun and also to give awards every year for those scoring one hundred percent in examinations so as to encourage them. The Club conducts two events every year on Recreational Mathematics.

Scope

More job opportunities in all fields. Jobs like Research Institutions, Administration, Management, IT industry, Quantitative Analyst, Ultra high frequency trader in USA, Post doctoral Position in network science at Army Research Laboratories, Banking sector and Various branches of Engineering, Medicine, Social Sciences, etc.,

Core Courses

Differential Calculus and Trigonometry / Probability and Statistics / Analytical Geometry 3D and Integral Calculus / Algebra and Theory of Numbers / Sequences and Series / Differential Equations and Laplace Transforms / Vector Calculus and Fourier Series / Abstract Algebra / Real Analysis / Statics / Methods in Numerical Analysis / Complex Analysis / Dynamics / Algebra /Real Analysis / Numerical Methods / Ordinary Differential Equations / Integral Equations, Calculus of Variations and Fourier Transforms / Complex Variable / Measure Theory and Integration / Partial Differential Equations / Classical Dynamics / Topology / Functional Analysis / Differential Geometry / C++ Programming / C++ Practicals.

Elective Courses

Linear Algebra /Stochastic Processes / Mathematical Modelling / Mathematical Statistics / Optimization Techniques / Working principles of Internet / Banking Practices / Page Maker 7.0 / Corel draw / Dream Weaver / Operations Research / Graph Theory / Astronomy.

Courses offered

B.Sc. Mathematics
M.Sc. Mathematics
M.Phil. Mathematics

Department Activities
S.No Date Program Titile Resource Person
1 30.9.2013 Guest Lecture Programme Mrs.S.Deepa,
Dhanalakshmi Srinivasan College Of Arts & Science(W),
Perambalur.
2 29.08.2013 Workshop On “Tally” Mrs.N.Deepalakshmi,
Department Of Commerce,
Dhanalakshmi Srinivasan College Of Arts & Science(W),
Perambalur.
3 30.07.2013 Guest Lecture Programme On ‘Analytical Continuation’ Dr. R. Marudhai,
Head, Department Of Mathematics,
Bharathidasan University,
Trichy.
4 11.07.2013 And 12.07.2013 Orientation Programme Dr. T. Valanarasu,
Bharathidasan University Constitute College,
Kurumbalur.
5 06.04.2013 Personality Development Programme Mr.Sukumaran
Head, Department Of Mathematics,
Srinivasan College Of Arts & Science,
Perambalur.
07.01.2013 National Conference On “Combined Recent Advances In Mathematics & Physics” D.Radhika
Space Astronomy Group,
Isro Satellite Centre.
Bangalore.

Dr.B.N.Ashoka,
Scc/Eng Sg,
Isro Satellite Centre,
Bangalore.

Ms.Rakhee Kushwanth
Space Astronomy Group,
Isro Satellite Centre.
Bangalore.

Dr.G.Thangaraj
Professor & Head,
Dpartment Of Mathematics,
Thiruvalluvar University,
Vellore.

Dr.G.Ramesh
Associate Professor,
Pg & Research Department Of Mathematics,
Government Arts And Science College(Autonomous)
Kumbakonam

Dr.B.Ramesh
Astronomy & Astrophysics,
Raman Research Institute,
Bangalore.

Dr.K.B.Ramesh
Indian Institute Of Astrophysics,
Bangalore.

Dr.G.Sarabagopalan
Radio Research Institute,
Radio Astronomy Group,
Bangalore.
7 15.02.2013 Seminar On “Fuzzy Mathematics” Mr. C. Sukumar
Head, Department Of Mathematics,
Srinivasan College Of Arts & Science,
Perambalur.
8 21.12.2012 Workshop On “Network Processing” Ms. M. Sundari,
Software Trainer,
Summit Academy,
Virudhachalam.
9 20.09.2012 Guest Lecutre On “Roots Of Mathematics” A. Mutharasu,
Principal,
Subasakthi College Of Arts & Science (W),
Sathyamangalam,
Kulithalai.
10 30.07.2012 Guest Lecture On “Foundation Analysis” Dr. P.S. Srinivasan
Department Of Mathematics,
Bharathidasan University,
Trichy.
11 13.07.2012 Orientation Programme Dr. P. Snethil Kumarrajah Saraboji Government College,
Tanjore.
12 25.02.2012 Endowment Lecture Dr. V.Subramanian
Associate Professor
Department Of Chemistry
National College
Trichy
13 10.02.2012 Guest Lecture- Testing Of Hypothesis Mr.C.Sukumaran
Hod, Deartment Of Mathematics,
Srinivasan College Of Arts & Science,
Perambalur.
14 23.01.2012 Seminar- Analysis On Ms-Excel Ms.S.R.Bakiyalakshmi
Assistant Professor
Department Of Computer Science
Dhanalakshmi Srinivasan College Of Arts And Science For Women,
Perambalur
15 28.09.2011 Personality Development Dr. Aruna Dhinakaran
Head Department Of Tamil
Dhanalakshmi Srinivasan College Of Arts And Science For Women,
Perambalur
16 23.09.2011 National Conference “Fuzzy Congruence On Gamma Semigroup” Dr. Surjith Kumarsardar
Department Of Mathematics
Jadavpur University
Jadavpur
Kolkatta Dr. G. Ramesh
Associate Professor
Government Arts And Science College(Autonomous)
Kumbakonam Dr. M. Palanivelrajan
Associate Professor
Government Arts And Science College(Autonomous)
Kumbakonam Dr. S. Anbazhagan
Department Of Mathematics
Vel-Tech Drrr And Dsp
Technical University
Avadi, Chennai
17 26.08.2011 Workshop(Photoshop And Corel Draw) Mr. Manickam
Manager
CSC Computer
Trichy
18 03.08.2011 Seminar (Applications On Operations Research)
Staff Training Programme
Mrs. S. Sasikala
Assistant Professor Of Statistics
Periyar Evr College
Trichy
19 28.01.2011 Rast – 11(National Conference) P. Subramania Athray
Research Fellow,
ISRO Satellite Centre, Bangalore.
Lab Facility
Lab Facility

Our Department has well equipped System & Over Head Projector facilities.

Publications
Syllabus

M.Sc., MATHEMATICS REVISED CORE COURSE : 19

SEMESTER Course Title of the  Paper
I CC – I  ALGEBRA P8MA1
CC – II REAL ANALYSIS P8MA2
CC – III NUMERICAL METHODS P8MA3
CC – IV ORDINARY DIFFERENTIAL EQUATIONS P8MA4
CC – V INTEGRAL EQUATIONS CALCULUS OF VARIATIONS & FOURIER TRANSFORMS P8MA5
II CC – VI   COMPLEX VARIABLE P8MA6
CC – VII MEASURE THEORY & INTEGRATION P8MA7
CC – VIII PARTIAL DIFFERENTIAL EQUATIONS P8MA8
CC – IX CLASSICAL DYNAMICS P8MA9
ELECTIVE  - I ANY ONE FROM THE LIST ***
III CC – X TOPOLOGY P8MA10
CC – XI FUCTIONAL ANALYSIS P8MA11
CC – XII DIFFERENTIAL GEOMETRY P8MA12
ELECTIVE  - II ANY ONE FROM THE LIST ***
ELECTIVE  - III ANY ONE FROM THE LIST ***
IV CC – XIII C++ PROGRAMMING P8MA13
CC – XIV C++ PRACTICAL P8MA14P
PROJECT WORK PWM4
ELECTIVE  - IV ANY ONE FROM THE LIST ***
ELECTIVE  - V ANY ONE FROM THE LIST ***
ELECTIVE COURSES
1 LINEAR ALGEBRA P8MA E1
2 THEORY OF NUMBERS P8MA E2
3 FUZZY MATHEMATICS P8MA E3
ELECTIVE –I I    & III (ANY TWO)
4 STOCHASTIC PROCESSES P8MA E4
5 NON LINEAR DIFFERENTIAL EQUATIONS P8MA E5
6 TENSOR ANALYSIS & SPECIAL THEORY OF RELATIVITY P8MA E6
7 METHODS OF MATHEMATICAL PHYSICS P8MA E7
8 MATHEMATICAL MODELLING P8MA E8
ELECTIVE –IV    & V  (ANY TWO)
9 FINANCIAL MATHEMATICS P8MA E9
10 MATHEMATICAL STATISTICS P8MA E10
11 COMBINATORICS P8MA E11
12 OPTIMIZATION TECHNIQUES P8MA E12
13 STOCHASTICS DIFFERENTIAL EQUATIONS P8MA E13

CC-Core Course    EC-Elective Course
B. Sc., Mathematics - Course Structure under CBCS

SEMESTER Course Title of the Paper
I LANGUAGR COURSE – I(LC) TAMIL */ OTHER LANGUAGES** # RLCT1
ENGLISH LANGUAGR COURSE – I (ELC) RELCE1
CC – I DIFFERENTIAL CALCULUS & TRIGONOMETRY RCCSMM1
CC – II PROBABILITY & STATISTICS RCCSMM2
AC – I  PHYSICS - I RACSY07A
AC – II PHYSICS – II RACSY07BP
II LC – II TAMIL */ OTHER LANGUAGES** # RLCT2
ENGLISH LANGUAGR COURSE  - II (ELC) RELCE2
CC – III ANALYTICAL GEOMETRY 3D & INTEGRAL CALCULUS RCCSMM3
AC – II PHYSICS - II RACSY07BP
AC –III PHYSICS - III RACSY07C
ENVIRONMENTAL STUDIES UGCES
VALUE EDUCATION UGVED
III LANGUAGR COURSE – II I(LC) TAMIL */ OTHER LANGUAGES** # RLCT3
ENGLISH LANGUAGR COURSE – III (ELC) RELCE3
CC – IV ALGEBRA AND THEORY OF NUMBERS RCCSMM4
AC – I MATHEMATICAL STATISTICS - I RACSY78A
AC – II MATHEMATICAL STATISTICS – II RACSY78BP
SKILL BASED ELECTIVE – I OFFICE AUTOMATION -  I SBE31: 1
NON – MAJOR ELECTIVE – I WORKING PRINCIPLES OF INTERNET NMECA1
IV LANGUAGR COURSE – IV (LC) TAMIL */ OTHER LANGUAGES** # RLCT4
ENGLISH LANGUAGR COURSE – IV (ELC) RELCE4
CC – V SEQUENCES AND SERIES RCCSMM5
CC – VI  DIFFERENTIAL EQUATIONS & LAPLACE TRANSFORMS RCCSMM6
AC – II MATHEMATICAL STATISTICS - II RACSY78BP
AC – III MATHEMATICAL STATISTICS – III RACSY78C
NON – MAJOR ELECTIVE – II BANKING PRACTICES NMEBB2
SKILL BASED ELECTIVE – II PAGE MAKER RSBE4:1
V CC – VII VECTOR CALCULUS AND FOURIER SERIES RCCSMM7
CC – VIII ABSTRACT ALGEBRA RCCSMM8
CC – IX REAL ANALYSIS RCCSMM9
CC – X STATICS RCCSMM10
MAJOR BASED ELECTIVE  - I OPERATIONS RESEARCH / STOCHASTIC PROCESS MBEMM1:1
SKILL BASED ELECTIVE – III COREL DRAW - III
SKILL BASED ELECTIVE – IV DREAM VIEWER – IV
VI CC- XI METHODS IN NUMERICAL ANALYSIS RCCSMM11
CC-XII COMPLEX
ANALYSIS
RCCSMM12
CC – XIII DYNAMICS RCCSMM13
MAJOR BASED ELECTIVE – II GRAPH THEORY / MATHEMATICAL MODELLING
MAJOR BASED ELECTIVE – III FLUID DYNAMICS / ASTRONOMY
Student Achievements
S.NO DATE NAME PROGRAMME COLLEGE/UNIVERSITY AWARD/PLACE
1 19.01.2013 R.RAJAPRIYA MATH GENE’13 HOLY CROSS COLLEGE SECOND PLACE
2 19.01.2013 M.ARCHANA MATH GENE’13 HOLY CROSS COLLEGE SECOND PLACE
3 19.01.2013 S.ABIRAMI MATH GENE’13 HOLY CROSS COLLEGE SECOND PLACE
4 10.09.2012 R.EZHILMATHI KHO KHO -INTERCOLLEGIATE SPORTS & TOURNAMENT. BHARATHIDASAN UNIVERSITY FOURTH PLACE
5 06.09.2013 V.DHIVYA RUNNING RACE-400 MTS COLLECT ORATE – DISTRICT MONTHLY SPORTS SECOND PLACE
6 12.08.2011 R.SHALINI SENIOR GIRLS- OVER 73 KG WEIGHT CATEGORY. COLLECT ORATE – DISTRICT MONTHLY SPORTS SILVER MEDAL
University Rank Details
S.NO BATCH NAME OF THE STUDENT UG/PG UNIVERSITY RANK
1. 2011-2013 AKILA.S PG IX
2. 2011-2013 BOOMATHI.C PG VI
3. 2011-2013 RAJESWARI.R PG V
4. 2011-2013 MALARVIZHI.S PG XIV
5. 2010-2013 VIJAYASANTHI.V UG III
6. 2010-2013 ARCHANA.M UG V
7. 2010-2013 PRIYA.R UG VIII
8. 2010-2013 AKILA.A UG XXVIII