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 |
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 |