University of Madras Courses

Course Code

Course Title

Semester – I

MSI C001

Linear Algebra

MSI C002

Real Analysis

MSI C003

OrdinaryDifferential Equations

Elective – I

Semester – II

MSI C004

Algebra

MSI C005

Topology

MSI C006

Partial Differential Equations

MSI C007

Computational Mathematical Laboratory – I

Elective – II

Semester – III

MSI C008

Complex Analysis – I

MSI C009

Measure and Integration Theory

MSI C010

Probability Theory

MSI C011

Seminar

Elective –III

Elective – IV

Semester – IV

MSI C012

Complex Analysis – II

MSI C013

Differential Geometry

MSI C014

Functional Analysis

MSI C015

Computational Mathematical Laboratory – II

Elective – V

Elective – VI

Electives

MSI E001

Discrete Mathematics

MSI E002

Number Theory and Cryptography

MSI E003

Programming and Soft Computations

MSI E004

Computer Based Numerical Methods

MSI E005

Lie Algebras

MSI E006

Stochastic Processes

MSI E007

Representation Theory of Finite Groups

MSI E008

Graph Theory

MSI E009

Lie Groups of Transformations & Ordinary Differential Equations

MSI E010

Lie Groups of Transformations and Partial Differential Equations

MSI E011

Fourier Analysis

MSI E012

Potential Theory in Rn

MSI E013

Linear Lie groups

MSI E014

Banach Algebras and Operator theory

MSI E015

Commutative Algebra

Self Study Courses

MSI S001

Algebraic Theory of Numbers

MSI S002

Algebraic Topology

MSI S003

Financial Calculus

MSI S004

Fuzzy Analysis

MSI S005

Harmonic Function Theory

MSI S006

Infinite dimensional Lie algebras

MSI S007

Introduction to Fractals

MSI S008

Lie Groups and Lie Algebras

MSI S009

Probability on Abstract Spaces

MSI S010

Quantum Computations

MSI S011

Quantum Groups

MSI S012

Soliton equations and Hirota derivatives