M.Sc. Mathematics (MMath) Course.

Beginning the academic year 2019-20, the following courses are taught:

First Year

Semester 1 (Core Courses) Semester 2 (Core Courses)
MMATH18-101 - Field Theory
MMATH18-102 - Complex Analysis
MMATH18-103 - Measure and Integration
MMATH18-104 - Differential Equations
MMATH18-201 - Module Theory
MMATH18-202 - Introduction to Topology
MMATH18-203 - Functional Analysis
MMATH18-204 - Fluid Dynamics

Second Year

Semester 3 (Elective Courses) Semester 4 (Elective Courses)
MMATH18-301: Any course out of the following
(i) Algebraic Topology
(ii) Commutative Algebra
(iii) Representation of Finite Groups

MMATH18-302: Any course out of the following
(i) Fourier Analysis
(ii) Matrix Analysis
(iii) Theory of Bounded Operators

MMATH18-303: Any course out of the following
(i) Advanced Complex Analysis
(ii) Advanced Measure Theory
(iii) General Topology

MMATH18-304: Any course out of the following
(i) Computational Fluid Dynamics
(ii) Computational Methods for ODE
(iii) Mathematical Programming
(iv) Methods of Applied Mathematics

MMATH18-305: (Open Elective) Any course out of the following
(i) Coding Theory
(ii) Stochastic Calculus for Finance

MMATH18-401: Any course out of the following
(i) Advanced Group Theory
(ii) Algebraic Number Theory
(iii) Simplicial Homology Theory
(iv) Theory of Non-commutative Rings

MMATH18-402: Any course out of the following
(i) Abstract Harmonic Analysis
(ii) Frames and Wavelets
(iii) Operators on Hardy-Hilbert Spaces
(iv) Theory of Unbounded Operators

MMATH18-403: Any course out of the following
(i) Calculus on Rn
(ii) Differential Geometry
(iii) Topological Dynamics

MMATH18-404: Any course out of the following
(i) Advanced Fluid Dynamics
(ii) Computational Methods for PDE
(iii) Dynamical Systems
(iv) Optimization Techniques & Control Theory

MMATH18-405:(Open Elective) Any course out of the following
(i) Cryptography
(ii) Support Vector Machines

Attendance Requirement: 66% ATTENDANCE in lectures required to appear for the end semester examination while 50% ATTENDANCE for the in-house examination. Students availing medical leave are required to submit the medical certificate to the concerned teacher WITH IN A WEEK of joining back after availing the medical leave.

Each core and elective (open elective) course will carry 100 (50) marks and have two components: Internal Assessment 30 (15) marks and End-Semester Examination 70 (35) marks.

For the detailed syllabus (Admission of 2019- ) including promotion criteria, click here .
For the syllabus of old course (Admission of 2014-2019) including promotion criteria, click here .
For syllabus for old course (Admissions of 2012-2014), click here.
For syllabus for very old course (Admissions of 2009-2011), click here.