Course | Department Of Mathematics

Program Details

Ph.D. (in areas of Mathematics and Computer Science)

The aim of the PhD programme is to produce students with high quality research capability and independent thinking in various areas of Mathematics, Statistics and Computer Science.

Computer Science
Algorithms Approximation Algorithms Computational Geometry Distributed Computing Formal Languages and Automata Theory Theoretical Computer Science Wireless Networks Wireless Sensor Networks

Mathematics
Algebraic Combinatorics Algebraic Geometry Combinatorial Matrix Theory Combinatories Complex Dynamics and Fractals Computational Fluid Dynamics Flow through porous media Functional Analysis General Algebra Graph Theory Harmonic Analysis Hydrodynamic Loading Hyperbolic 3-manifolds Low Dimensional Topology Mathematical Biology	Matrices & Graphs Number Theory Numerical Analysis Numerical Functional Analysis Numerical Homogenization Numerical Linear Algebra Numerical Methods for PDEs Numerical solution to Differential Equations Optimal Control Theory Optimization Techniques River mechanics Sloshing dynamics Special Functions Spectral Graph Theory Two-phase Flows Water Wave Mechanics
Statistics
Distributions models and its applications Financial Mathematics Operations Research Queueing Theory Stochastic Modelling

Structure

Ph.D Batch |

Ph.D Batch

Code	Course Name	L–T-P	Credits
MA615	Programming and Data Structures	3-0-2	8
MA617	Design and Analysis of Algorithms	3-0-0	6
MA618	Mathematics for Computer Science	3-0-0	6
MA619	Data Structures Lab	0-2-2	6
MA625	Linear Algebra - 1	3-1-0	8
MA642	Real Analysis - 1	3-1-0	8
MA662	Differential Equations	3-1-0	8
MA683	Probability Theory	3-1-0	8
MA684	Advanced Probability	3-0-0	6
MA689	Applied Statistics	3-0-0	6
MA719	Linear Algebra - II	4-0-0	8
MA721	Introduction to Analytic Number Theory and Algebraic Number Fields	4-0-0	8
MA722	Topological Groups and Advanced Algebra	4-0-0	8
MA723	Permutation Groups and Group Actions	4-0-0	8
MA724	Combinatorial Group Theory	4-0-0	8
MA725	Non-Negative Matrix Theory	4-0-0	8
MA726	Number Theory	4-0-0	8
MA727	Modern Algebra and Number Theory	4-0-0	8
MA728	Universal Algebra	4-0-0	8
MA731	Functional Analysis	4-0-0	8
MA732	Spectral perturbation theory for bounded linear operators	4-0-0	8
MA733	Spectral perturbation theory for matrices and matrix pencils	4-0-0	8
MA741	Complex Analysis	4-0-0	8
MA742	Iteration Theory	4-0-0	8
MA745	Theory of Distribution and Sobolev Spaces	4-0-0	8
MA746	Fourier Analysis	4-0-0	8
MA747	Measure Theory	4-0-0	8
MA748	Advanced Complex Analysis	4-0-0	8
MA751	Differential Equations and Boundary-Value Problems	4-0-0	8
MA752	Theory of Partial Differential Equations	4-0-0	8
MA753	Perturbation Techniques	4-0-0	8
MA754	Homogenization	4-0-0	8
MA761	Advanced Fluid Dynamics	4-0-0	8
MA763	Introduction to Environmental Diffusion	4-0-0	8
MA765	Wave Structure Interaction	4-0-0	8
MA771	Advanced Numerical Analysis	4-0-0	8
MA773	Finite Element Methods	4-0-0	8
MA781	Statistical Methodologies for Modern Clinical Studies	3-0-0	6
MA782	Lévy Processes	4-0-0	8
MA793	DATA STRUCTURES AND ALGORITHMS	3-0-2	8

Total Credit

Ph.D Batch

* Courses for Any Semester [If a course in this column is offered in Odd Semseter, then it will not be offered in even semester for the same academic year]

Odd Semester

Sl.No	Code	Course Name
1	MA502	Graph Theory
2	MA503	Network Flows Algorithms
3	MA505	Algebraic Coding Theory
4	MA509	ALGEBRAIC NUMBER THEORY
5	MA517	FUNCTIONAL AND LOGIC PROGRAMMING
6	MA518	Database Management Systems
7	MA563	Calculus of Variations and Optimal Control
8	MA575	Mathematical Methods
9	MA593	Statistical Methods and Time Series Analysis
10	MA614	Applications of Computational Geometry
11	MA626	Representation Theory of Finite and Compact Groups
12	MA661	Integral Transforms and Integral Equations

Even Semester

Sl.No	Code	Course Name
1	MA 621	Rings and Modules
2	MA516	Semantics of Programming Languages
3	MA519	Complexity Theory
4	MA562	Mathematical Modelling and Numerical Simulation
5	MA571	Numerical Linear Algebra
6	MA573	Numerics of Partial Differential Equations
7	MA594	Statistical Decision Theory
8	MA598	MATHEMATICS OF FINANCIAL DERIVATIVES
9	MA601	Graphs and Matrices
10	MA622	Galois Theory
11	MA623	Introduction to Algebraic Geometry
12	MA624	Introduction to Lie Algebras
13	MA641	Operator Theory in Hilbert Spaces
14	MA645	Introduction to C*- Algebras
15	MA646	Advanced Operator Theory
16	MA648	Operator Theory on Hardy Spaces
17	MA663	Fractional Calculus and Fractional Differential Equations
18	MA664	Theory and Applications of Sobolev Spaces
19	MA671	Finite Element Methods for Partial Differential Equations
20	MA685	Martingales and Brownian Motion
21	MA687	Generalized Linear Models

Any Semester

Sl.No	Code	Course Name
1	MA 643	Algebraic Topology
2	MA 644	Differential Topology
3	MA510	Combinatorics
4	MA545	Complex Dynamics and Fractals
5	MA561	Fluid Dynamics
6	MA564	Fractals and Chaos
7	MA565	Mathematical Biology
8	MA566	Mathematics in sustainable development
9	MA592	Mathematical Finance
10	MA597	QUEUEING THEORY AND APPLICATIONS
11	MA611	Differential Geometry of Curves and Surfaces
12	MA612	Logic Programming
13	MA616	Algorithms for Wireless Ad Hoc and Sensor Networks
14	MA627	Modular Forms
15	MA640	Topology and Calculus of Surfaces
16	MA647	Riemann Surfaces
17	MA649	Harmonic Analysis on Euclidean Spaces
18	MA650	Advanced course on Hardy spaces
19	MA651	Distributed Algorithms
20	MA652	Approximation Algorithms
21	MA653	Network Science
22	MA654	Advanced Data Structures and Algorithms
23	MA665	Stochastic Models in Biology
24	MA667	Actuarial Mathematics
25	MA668	Algorithmic and High-Frequency Trading
26	MA681	Applied Stochastic Processes
27	MA682	Statistical Inference
28	MA684	Advanced Probability
29	MA686	Random Graphs
30	MA688	Stochastic Calculus
31	MA689	Applied Statistics
32	MA690	Understanding Statistical Learning Theory
33	MA691	Advanced Statistical Algorithms
34	MA781	Statistical Methodologies for Modern Clinical Studies