The M.Sc. Mathematics Program Curriculum offered by Department of Mathematics of Indian Institute of Technology Madras is as follows:

SEMESTER I

MA5310 LINEAR ALGEBRA
MA5330 REAL ANALYSIS
MA5370 MULTIVARIABLE CALCULUS
MA5350 FUNDAMENTALS OF DISCRETE MATHEMATICS
MA5390 ORDINARY DIFFERENTIAL EQUATIONS

SEMESTER II

MA5320 ALGEBRA - I
MA5380 TOPOLOGY
MA5340 MEASURE AND INTEGRATION
MA5920 PARTIAL DIFFERENTIAL EQUATIONS
MA5360 COMPLEX ANALYSIS

SEMESTER III

MA 5450 FUNCTIONAL ANALYSIS
MA 5470 NUMERICAL ANALYSIS
MA 5400 PROBABILITY THEORY
ELECTIVE I
ELECTIVE II
MA 5260 SEMINAR


SEMESTER IV
ELECTIVE III
ELECTIVE IV
ELECTIVE V
ELECTIVE VI
ELECTIVE VII
MA 6650 PROJECT
MA 6651 VIVA [Based on prescribed syllabus]

List of Elective Courses

MA 5013 APPLIED REGRESSION ANALYSIS
MA 5014 APPLIED STOCHASTIC PROCESSES
MA 5016 ERGODIC THEORY
MA 5017 REPRESENTATION THEORY
MA 5140 INTRODUCTION TO ALGEBRAIC TOPOLOGY
MA 5220 CONTINUUM MECHANICS
MA 5311 LINEAR SYSTEMS THEORY
MA 5312 STOCHASTIC DIFFERENTIAL EQUATIONS
MA 5313 INTRODUCTION TO MATHEMATICAL STATISTICS
MA 5430 ALGEBRA II: RING THEORY AND FIELD THEORY
MA 5440 COMBINATORICS AND NUMBER THEORY
MA 5460 TRANSFORM TECHNIQUES
MA 5490 FLUID DYNAMICS
MA 5750 APPLIED STATISTICS
MA 5850 OPERATIONS RESEARCH
MA 5950 MATHEMATICAL FINANCE
MA 5890 NUMERICAL LINEAR ALGEBRA
MA 6001 INTRODUCTION TO CODING THEORY
MA 6002 APPROXIMATION THEORY
MA 6003 THEORY OF WAVELETS
MA 6004 MATHEMATICS OF FRACTALS
MA 6005 APPLIED LINEAR ALGEBRA
MA 6006 APPLIED INTEGRAL EQUATIONS
MA 6007 NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
MA 6050 DYNAMICAL SYSTEMS
MA 6060 NONLINEAR CONSERVATION LAWS
MA 6080 FOURIER ANALYSIS
MA 6090 SOBOLEV SPACES AND PDE
MA 6110 TOPICS IN ADVANCED ANALYSIS
MA 6120 ADVANCED COMPLEX ANALYSIS
MA 6140 FIXED POINT THEORY AND APPLICATIONS
MA 6150 BASIC OPERATOR THEORY
MA 6180 INTRODUCTION TO ALGEBRAIC GEOMETRY
MA 6190 MATHEMATICAL LOGIC
MA 6200 THEORY OF COMPUTATION
MA 6210 COMBINATORIAL OPTIMIZATION
MA 6230 GRAPH THEORY
MA 6270 NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS
MA 6312 MATHEMATICAL THEORY OF GAMES
MA 6360 OPTIMIZATION TECHNIQUES
MA 6420 ALGEBRAIC THEORY OF CODES AND AUTOMATA
MA 6460 COMPUTATIONAL FLUID DYNAMICS
MA 6470 COMMUTATIVE ALGEBRA
MA 6480 GALOIS THEORY
MA 7015 INTRODUCTION TO CRYPTOLOGY