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Program Details

The Department of Mathematics at Indian Institute of Technology Guwahati offers a 2-year M.Sc. programme in Mathematics. This programme blends relevant theoretical, computational and applicable mathematics courses. Students are exposed to advanced research topics through electives and a mandatory one-semester project work.

At the end of the programme, students acquire sound analytical and practical knowledge to formulate and solve challenging problems and are well prepared to take up jobs in research and development organizations or to pursue higher studies in mathematical sciences.

Round-the clock access to computer labs and a large up-to-date library help students to supplement their knowledge. The department has a state-of-the-art computing laboratory equipped with several PCs and servers, which are connected to the cluster supercomputer of the institute. Regional Library of the National Board for Higher Mathematics is also housed at lIT Guwahati.

Course Structure (Effective from 2023 batch) |

Course Structure (Effective from 2023 batch)

Semester I

Code Course Name L–T-P Credits
MA511 Computer Programming 3-0-2 8
MA501 Discrete Mathematics 3-1-0 8
MA521 Modern Algebra 3-1-0 8
MA522 Linear Algebra 3-1-0 8
MA541 Real Analysis 3-1-0 8
Total Credit   15-4-2 40

Semester II

Code Course Name L–T-P Credits
MA547 Complex Analysis 3-1-0 8
MA548 Ordinary Differential Equations 3-1-0 8
MA549 Topology 3-1-0 8
MA591 Optimization Techniques 3-1-0 8
MA590 PROBABILITY THEORY 3-1-0 8
Total Credit   15-5-0 40

Semester III

Code Course Name L–T-P Credits
MA543 Functional Analysis 3-1-0 8
MA567 Partial Differential Equations 3-1-0 8
MA572 Numerical Analysis 3-0-2 8
MA550 Measure Theory 3-1-0 8
MA---- Elective 3-0-0 6
Total Credit   15-3-2 38

Semester IV

Code Course Name L–T-P Credits
MA---- Elective 3-0-0 6
MA---- Elective 3-0-0 6
MA---- Elective 3-0-0 6
MA---- Elective 3-0-0 6
MA599 Project 0-0-14 14
Total Credit   12-0-14 38

* 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 MA598 MATHEMATICS OF FINANCIAL DERIVATIVES
8 MA601 Graphs and Matrices
9 MA622 Galois Theory
10 MA623 Introduction to Algebraic Geometry
11 MA624 Introduction to Lie Algebras
12 MA641 Operator Theory in Hilbert Spaces
13 MA645 Introduction to C*- Algebras
14 MA646 Advanced Operator Theory
15 MA648 Operator Theory on Hardy Spaces
16 MA663 Fractional Calculus and Fractional Differential Equations
17 MA664 Theory and Applications of Sobolev Spaces
18 MA671 Finite Element Methods for Partial Differential Equations
19 MA685 Martingales and Brownian Motion
20 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 MA681 Applied Stochastic Processes
26 MA682 Statistical Inference
27 MA684 Advanced Probability
28 MA686 Random Graphs
29 MA688 Stochastic Calculus
30 MA689 Applied Statistics
31 MA690 Understanding Statistical Learning Theory
32 MA691 Advanced Statistical Algorithms