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M.Sc. Mathematics

M.Sc. Mathematics

GOD DOES NOT CARE ABOUT MATHEMATICAL DIFFICULTIES; HE INTEGRATES EMPIRICALLY” - ALBERT EINSTEIN.

OBJECTIVE

  • To provide strong mathematical background to students who have graduated in B.Sc Mathematics and who wish to pursue further studies or career in Mathematics and related fields.
  • To enable students to play vital role in the fields of Mathematics and Computer science at local level and to remain globally competitive.
  • To popularize and project in proper perspective the scope of Mathematics in all areas so as to attract young talents to take up teaching and research career in Mathematical sciences.

ELIGIBILITY

ELIGIBILITY FOR ADMISSION pass in B.Sc Mathematics or B.Sc Applied science from the University of Madras or equivalent.

DURATION OF THE COURSE

The duration of the course is two years which includes four semesters. Each semester has ninety working days followed by examinations at the end of each semester.

ACADEMIC PROGRESSION

The course in the M.Sc Mathematics includes topics in Theoretical Mathematics and its Applications to equip students to pursue Research in Mathematics or to take up careers in teaching mathematics or to go into related fields in the industry. The students are given the option to choose major elective subjects in the I and III semester and non-major elective in the II and IV semester. The students also take up skill based subjects in the I,II,III and IV semester.

About the Department

The department of mathematics was approved by the university in 2011. The department is training and encouraging the students to develop their skills for competitive examination and mathematical oriented activities. The department is conducting quiz programs , puzzles and mental activities. The department has motivated itself to excel in education and research in harmony with future propects.

Syllabus

YEAR/SEMESTER CATEGORY TITLE OF PAPER CREDITS
I Year / I Semester Core-1 Algebra – I 4
- Core-2 Real Analysis – II 4
- Core-3 Ordinary Differential Equations 4
- Core-4 Graph Theory 4
- Elective - I Fuzzy Sets And Their Applications 4
- Soft Skill - I Spoken And Communication Skills 2
I Year – II Semester Core-5 Algebra – II 4
- Core-6 Real Analysis – II 4
- Core-7 Partial Differential Equations 4
- Core-8 Probability Theory 4
- Elective - II Java Programming 4
- Soft Skill - II Language And Presentation Skills 2
- Elective - II Mathematical Programming 3
- Extra Disciplinary - I Programming In C++ 3
- Internship Summer Internship 2
II Year - III Semester Core-9 Complex Analysis - I 4
- Core-10 Topology 4
- Core-11 Operation Research 4
- Core-12 Mechanics 4
- Elective - III Data Structure And Algorithms 4
- SoftSkill - III Life And Managerial Skills 2
- Elective - III Algebraic Theory Of Numbers 3
- Extra Disciplinary - II Java Programming 3
II Year - IV Semester Core-13 Complex Analysis- - II 4
- Core-14 Differential Geometry 4
Core-15 Functional Analysis 4
Elective - IV Algebraic Topology 4
- Elective - V Tensor Analysis And Relativity 4
- Part IV Environmental Studies 2
- Soft Skill - IV Computing Skills 2
- Elective -IV AAlgebraic Topology 3
- Elective - V Tensor Analysis 3

Faculty

Name: K.Tamilselvi

Qualification: M.Sc., M.Phil.,

Designation: Assistant Professor & Head

Area of Interest: Algebra

Name: Ms.D. Padma

Qualification: M.Sc.,M.Phil.,CSIR-NET,TN-SET

Designation: Assistant Professor

Area of Interest: Algebra

Name: Dr.S. Ramya

Qualification: M.Sc., M.Phil., B.Ed., Ph.D.,

Designation: Assistant Professor

Area of Interest: Fuzzy Graph Theory

The Departments of Computer Science, Computer Applications and Information Technology are equipped with excellent, sophisticated computer laboratories with state-of-the art computing facilities and latest systems configuration. The UG and PG courses maintain separate labs with the student-machine ratio as 1:1. The labs accommodate around 150 systems which are fully networked and up-to-date software requirements, with respect to the curriculum, have been installed to cater to the needs of the students of the UG/ PG streams. Internet with Wi-Fi facility is also available in the laboratories. The students are given practical training in a variety of software to meet the challenges in the IT industry. In addition to the academic practicals, internet browsing, student marks/nominal roll entry as per the University’s regulations and soft skill training for the students of the college are also administered through the computer labs.

Department Activities

EVENTS FOR THE YEAR 2020 TO 2021

UG Department of Mathematics organized a Quiz program through online mode for the higher secondary students during the month of august. The objective of the program is to enrich the basic knowledge in Mathematics, more then 150 students participated and received the certificates successfully.

UG Department of Mathematics organized a Quiz program “MATHEMATICAL BRAINY QUIZ” through online mode for the College students in various departments. More than 15 college are participated the quiz actively. The objective of the program is to enrich their knowledge in Mathematics, more than 500 students participated and received the certificates successfully.

DEPARTMENT OF MATHEMATICS organized a seminar on “Glimpse of Srinivasa Ramanujam and visual Mathematics” on 28th Jan 2014. The highlights of the seminar includes Ramanujam’s wonderful pattern of numbers and visualising mathematics in powerpoint presentation by Prof.R.Sivaraman, founder of Pie Mathematics Association, D.G.Vaishnav college.

The PG DEPARTMENT OF MATHEMATICS organised an Intercollegiate Maths Fiesta Olympiad 2015 on 29th January. Inaugural address was delivered by Dr.Premalatha Kumaresan Director & Head Ramanujam Institute for Advance Study in Mathematics University of Madras. About 10 Colleges and 150 students participated in the five events:Oratorical, Quiz, Mathematical Collage, Adzap and Medley. The overall trophy was bagged by M.O.P.Vaishnav College for Women and the individual performance trophy was won by S.D.N.B College for Women.

The department of Mathematics organized Numera - 2016 , an interdepartmental activities on 26th Feb’2016.The five departments Computer Science , Electronics & Communication Science , BCA , Chemistry and Physics with CA , students participated in the four events Quiz , Adzap , Dumbcharades and Collage. The overall championship was bagged by Computer Science Shift-I. In the afternoon session,Guest Lecture on “Ramanujam Magic Square” by our honourable secretary Dr.S.P.Rajagopalan.

The department of mathematics organized a Guest lecture “Matrix decomposition and its applications” on 17.02.2017. Dr.M.R.Srinivasan, Professor and Head, Dept of Statistics, University of Madras explained about the matrix decomposition and their types and its applications.

  • EVENT NAME : RAMANUJAM BIRTHDAY CELEBRATION
  • DEPARTMENT NAME : UG MATHEMATICS
  • DATE(DD/MM/YYYY) :22/12/2017
  • NAME OF THE CHIEF GUEST: Dr.S.P.RAJAGOPALAN
  • DESIGNATION : SECRETARY , BMC
  • VENUE : BHAKTAVATSALAM MEMORIAL
  • COLLEGE FOR WOMEN

The department of mathematics celebrated the 130th birthday Anniversary of the great mathematician “SRINIVASAN RAMANUJAM” on 22nd December 2017.on that day honorable secretary sir Dr.S.P.Rajagopalan delivered a special speech on “MAGIC SQUARES” and also added Ramanujam’s biography and his lost workbook

  • EVENT NAME : NATIONAL CONFERENCE
  • DEPARTMENT NAME : UG MATHEMATICS
  • DATE(DD/MM/YYYY) :08/02/2018 & 09/02/2018
  • NAME OF THE CHIEF GUEST 1 : Dr.THANGARAJ
  • DESIGNATION : PROFESSOR IN RAMANUJAM INSTITUDE
  • NAME OF THE CHIEF GUEST 2 : Dr.K.SRINIVASAN
  • DESIGNATION : PROFESSOR IN UNIVERSITY OF MADRAS
  • VENUE : BHAKTAVATSALAM MEMORIAL
  • Our department organized two days NATIONAL CONFERENCE on 8th & 9th February 2018 accompany with department of electronics, physics and computer science on “RECENT ADVANCES IN MATHEMATICS, PHYSICS,COMPUTER SCIENCE AND ELECTRONICS” .
  • A lecture on “JOY OF MATHEMATICS” given by Prof.Dr.THANGARAJ,Ramanujam Institute
  • “TEXT MINING ON ROBUST TECHNIQUES” given by Prof.Dr.K.SRINIVASAN,University Of Madras
  • EVENTS FOR THE YEAR 2018 TO 2019
  • EVENT NAME : MATH EXPO 2018
  • DEPARTMENT NAME : UG MATHEMATICS
  • DATE(DD/MM/YYYY) : 22 / 12 / 2018
  • NAME OF THE CHIEF GUEST 2 : Dr.K.SRINIVASAN
  • DESIGNATION : SECRETARY (BMC)
  • VENUE : AUDITORIUM (BMC)
  • Our department organized two days NATIONAL CONFERENCE on 8th & 9th February 2018 accompany with department of electronics, physics and computer science on “RECENT ADVANCES IN MATHEMATICS, PHYSICS,COMPUTER SCIENCE AND ELECTRONICS” .
  • A lecture on “JOY OF MATHEMATICS” given by Prof.Dr.THANGARAJ,Ramanujam Institute
  • “TEXT MINING ON ROBUST TECHNIQUES” given by Prof.Dr.K.SRINIVASAN,University Of Madras

UG Department of Mathematics has celebrated our great mathematician “Sri Ramanujan” 131st birthday on 22 Dec 2018. In this connection ,we conducted Event 1 : “Maths Expo 2018” – Our students exhibit the mathematics models & projects. Event 2 : Our Honorable secretary – Dr.S.P.Rajagopalan delivered a lecture on “Ramanujan Numbers “ & he awarded the best three models in the exhibition. Bhaktavatsalam Vidyashram school students & our other department students attended the programmes.

Workshops, Fdp & Seminars

S.NO. Name Of The Staff Month & Year Geographic Level Title Institution
1. K.Tamilselvi Mar 2014 National Enriching Collegiate Mathematics IMSC, Chennai
2. K.Tamilselvi Nov 2013 State Refresher Course in Mathematics RIASM, University of Madras
3. K.Tamilselvi Nov 2008 National Computational Models and Methods Stella Maris College
4. K.Tamilselvi Mar 2007 State Networking Arts and Science colleges for enhanced placement opportunities Ethiraj College for Women
5. K.Tamilselvi May 2018 National Level Workshop Refresher Course in “Topology RIASM, University of Madras
6. K.Tamilselvi September 2018 National Level Seminar Mathematical Sciences Dr. MGR Janaki College of Arts and Science for Women
7. Helan Princey C January 2019 National Conference National Conference Women’s Christian College

Paper Presentations

ACADEMIC YEAR: 2016

Ms.U.Preethi, Assistant Professor

10th September 2016. - International Conference - Marginalizing the Works of Women Writers in Literature - Mangayarkarasi College of Arts and Science For Women.

13th Feb,2016 - National Seminar - Quest For Identity - Aiman College of arts and science for Women, Tiruchirapalli.

Ms. W Nancy Hephzibah, Assistant Professor

3rd March 2016 - Seminar - Enhancement of Language through Literature - Chevalier T. Thomas Elizabeth College for Women.

ACADEMIC YEAR: 2017

Ms.U.Preethi, Assistant Professor

28th January 2017- National Conference - The Significance of Tradition and Culture” in Chitra Banerjee Divkaruni’s Arranged Marriage - Joseph Arts and Science College, Thirunavalur, Villupuram.

ACADEMIC YEAR: 2019-2021

Ms.N.Nisha Kumari, Assistant Professor

25th Feb, 2019 - National Conference - Literature and Identity Politics - New College, Chennai.

Ms.R.Kamala, Assistant Professor

30 & 31st Jan, 2019 - National Conference - Re-envisioning Gender & Media - Bhaktavatsalam Memorial College For Women, Chennai.

Ms. B. Janani, Assistant Professor

11thApril 2021 - Seminar - A SURVEY STUDY ON STRUGGLES FACED BY UGC NET ASPIRANTS - ANNA UNIVERSITY.

Publications

S.NO. Name Topic ISSN NO Name of the journal
1. K.Tamilselvi Algebraic Structures (Vol I & II) 978-81-909934-1-8 A textbook for B.Sc Mathematics
2. K.Tamilselvi Real Analysis I 5351 5515 A textbook for B.Sc Mathematics
3. K.Tamilselvi Real Analysis I & II 978-93-5406-092-2 A textbook for B.Sc Mathematics

Lab Technician

Name: Ms J. Karthikeyani

Qualification: BCA

Designation: Lab Instructor

Area of Interest: Technical

Department Activities

  • Event Name : Ramanujan Day Celebration
  • Event type : Webinar
  • Department Name : PG Mathematics
  • Date : 22/12/2021
  • Time : 10:30 am to 12:00 pm
  • Name of the Chief Guest : Dr. Prakash. P
  • Designation : Assistant Professor, Department of Maths, Amirta Vishwa Vidyapeetham, Coimbatore.
  • Topic : Careers in Mathematics and Opportunities for students
  • Platform : Google Meet

Ramanujan Day Celebration was organized by the department of PG Mathematics on 22 nd December 2021. This event was conducted to celebrate the birth anniversary of Srinivasa Ramanujan. Principal i/c, Dr. K. R. Dhanalakshmi, Mrs. K. Tamil Selvi, HOD of PG Maths, Dr. R. Indira, IQAC Director, Dr. R. Padmajavalli, R & D Dean, Dr. Maria Peter, Student Mentor Dean paid floral homage to the photo of Srinivasa Ramanujan. A webinar was organized by the department on the topic “Careers in Mathematics and Opportunities for students” on 22 nd December at 10:30 am to 12:00 pm. During the webinar, the worldwide opportunities for mathematics and various National and International fellowships have been introduced to the students. Students were benefited through the information regarding various internships and mathematical schools for pursuing research.

  • Event type : Webinar
  • Department Name : PG Mathematics
  • Date : 05/07/2020
  • Time : 11:30 am to 12:30 pm
  • Name of the Chief Guest : Dr. V. Sathyavathy
  • Designation : Assistant Professor, Department of Maths, Anna Adarsh College for Women, Chennai.
  • Topic : Exposure to CSIR – NET for the Subject Complex Analysis
  • Platform : Google Meet

PG Department of Mathematics organized a Webinar on July 7th 2020. During the webinar, Chief Guest Dr. V. Sathyavathydelivered a lecture on Exposure to CSIR – NET for the Subject Complex Analysis.

On these topics, explained the keynote to solve the problems & choose the correct answer. Students had an interactive session regarding selecting the subjects to prepare for the examination & clarified their doubts.

  • Radius of Convergence
  • Open Mapping Theorem
  • Maximum Module Principal
  • Bilinear Transformation
  • Types of Singularities

On these topics, explained the keynote to solve the problems & choose the correct answer. Students had an interactive session regarding selecting the subjects to prepare for the examination & clarified their doubts.

  • EVENT NAME : INSPIRO - 2018
  • DEPARTMENT NAME : PG MATHEMATICS
  • DATE(DD/MM/YYYY) : 11/01/2018
  • NAME OF THE CHIEF GUEST: DR. S. P. RAJAGOPALAN
  • VENUE : CONFERENCE HALL (2ND FLOOR)

Five Events have been conducted.

  • PAPER PRESENTATION: JUDGE – Dr. S. Meena HOD A & F
  • POT PURI: JUDGE – Ms. U. Preethi HOD B. A. English
  • CONNECTION: JUDGE – Dr. R. Padmajavalli HOD PG Computer
  • PUZZLE AND SUDOKU: JUDGE – Ms. R. Indira HOD PG HRM
  • VOICE OVER: JUDGE – Dr. K. R. Dhanalakshmi HOD PG Commerce

Academic Achievements

Academic Proficiency or Overall Topper prize is awarded to the student who has secured the highest percentage in the University Examinations in the department during her period of study.List of Overall Toppers

Name of the candidate: K.Selvi

Batch: 2014-2016

Name of the candidate: R. Gomathy

Batch: 2015-2017

Name of the candidate: R. Ishwarya

Batch: 2016-2018

Name of the candidate: K. Berlin Bhino

Batch: 2017-2019

Name of the candidate: S.Saranya

Batch: 2018-2020

Name of the candidate: C.Amirtha

Batch: 2019-2021

The Department is proud to have produced University Rank holders.

Name of the candidate: K. Selvi

Rank: I

Batch: 2014 – 2016

Name of the candidate: R. Ishwarya

Rank: V

Batch: 2015 – 2017

Name of the candidate: R. Subashini

Rank: X

Batch: 2016 – 2018

Name of the candidate: K. Berlin Bhino

Rank: III

Batch: 2017 - 2019