M.Sc. Mathematics

The aim of the post graduate education is to provide high quality education as well as a supportive learning environment for the students to reach their full academic potential. The higher education has to inculcate in students the spirit of hard work and research aptitude to pursue further studies in the nationally/internationally reputed institutions as well as prepare them for a wider range of career opportunities in industry and commerce.

OBJECTIVES

The syllabi are framed in such a way that it provides a more complete and logic frame work in almost all areas of Mathematics.

By the end of the first year, the students should have

  • attained a secure foundation in core subjects like Linear Algebra, Real Analysis, Complex Analysis, Topology , Measure Theory and Discrete Mathematics
  • developed the ability to write rigorous mathematical proofs using the fundamental tools in Mathematics.

By the end of the second year, the students should have

  • introduced to powerful tools for tackling a wide range of topics in Calculus, Theory of Equations and Numerical methods.
  • familiarized with additional relevant mathematical techniques and other relevant subjects.
  • familiarized with modern tools  of applied mathematics.
  • updated with project presentations, seminars etc which will form a base for research in future.

STRUCTURE OF MASTER’S PROGRAMME IN MATHEMATICS

Theory  Courses

There are twenty theory courses spread equally in all four semesters in the M.Sc. Programme. Distribution of theory courses is as follows: There are sixteen compulsory courses common to all students. Semester I, Semester II and Semester III will have five core courses each. Semester IV will have one core course and Four elective courses. Total credits for the Master’s programme in Mathematics is 80.

Project

The project of the PG programmme should be very relevant and innovative in nature. The type of project can be decided by the student and the guide (a faculty of the department or other department/college/university/institution). The project work should be taken up seriously by the student and the guide. The project should be aimed to motivate the inquisitive and research aptitude of the students. The students may be encouraged to present the results of the project in seminars/symposia. The conduct of the project may be started at the beginning of Semester III, with its evaluation scheduled at the end of Semester IV. The project is evaluated by one external and one internal examiner.

Viva Voce

A viva voce examination will be conducted by one external examiner along with the internal examiner at the time of evaluation of the project. The components of viva consists of subject of special interest, fundamental Mathematics, topics covering all semesters and awareness of current and advanced topics with separate marks.

Courses Include:

Semester I

MT1C01TM   Linear Algebra

MT 1C02TM   Basic Topology

MT1C03TM    Real Analysis

MT 1C04TM   Graph Theory

MT1C05TM    Complex Analysis

Semester II

MT2C06TM   Abstract Algebra

MT2C07TM    Advanced Topology

MT2C08TM   Advanced Complex Analysis

MT2C09TM   Partial Differential Equations

MT2C10TM    Measure Theory and Integration

 Semester III

 MT3C11TM   Multivariate Calculus and Integral Transforms

MT3C12TM   Functional Analysis

MT3C13TM    Differential Geometry

MT3C14TM    Number Theory and Cryptography

MT3C15TM    Optimization Techniques

Semester IV

MT4C16TM    Spectral Theory

ELECTIVES 

MT4E17TM  Analytic Number Theory

MT4E18TM   Combinatorics

MT4E20TM   Operations Research

MT4E21TM   Probability Theory

MT4C1PRM   Project/Dissertation/

MT4C01VM   Viva Voce

MATHEMATICS AND STATISTICS

DEPARTMENTS