Department Of Mathematics

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M. Tech Applied and Computational Mathematics - ACM

The Program

It is well known that the role and usages of mathematics have increased manifold in the last about a decade with the setting in of information revolution which has resulted in substantial changes in several other disciplines also. This has put newer demands on mathematics from the point of view of teaching, research and applications. Skills in computational mathematics are needed more than ever before. Some branches of mathematics like Number Theory, Wavelets, Fractals, etc. are now part of the main stream. This program is designed to strengthen and to substantially enhance the background and also to imbue needed new skills in mathematics. It would be possible for a student to choose from areas like, Statistics, Operation Research, Numerical Mathematics and Computing. Experience and expertise gained at the Computer Lab, giving the students lab-based application oriented courses and the use of software such as Mathematica, Matlab, Maple, etc., will comprise an important feature of the program.

Objectives

The programme is designed to prepare/equip students with

Advanced Topics in Applied Mathematics

Computer Science and Advanced Computing Methods

Simulation and Modeling

Successful candidates will be better suited for

Jobs in the software industry and in research laboratories (like ISRO, DRDO, NAL, etc.)

Academic career in institutions of science and technology

Pursuing research leading to a Ph. D. Degree

Taking up consultancy and special projects with industry and corporations.

Curricula

First Semester

S.No	Subject	Contact hours	Credits
1	Linear Algebra	3	3
2	Functional Analysis	3	3
3	Advanced Differential Equations	3	3
4	Programming in C/C++/Matlab	3	3
5	Elective I	3	3
6	Software Lab I	4	2
	Total	19	17

Second Semester

S.No	Subject	Contact hours	Credits
1	Abstract Algebra and Applications	3	3
2	Analytical Number Theory	3	3
3	Advanced Numerical Techniques	3	3
4	Linear Statistical Models	3	3
5	Elective II	3	3
6	Software Lab II	4	2
	Total	19	17

Third Semester

S.No	Subject	Contact hours	Credits
1	Elective III	3	3
2	Elective IV	3	3
3	Seminar	0	2
4	Project Part I	24	12
	Total	30	20

Fourth Semester

S.No	Subject	Contact hours	Credits
1	Elective V	3	3
2	Elective VI	3	3
3	Project Seminar	0	2
4	Project Part II	28	14
	Total	34	22

Total credits of all semester = 76

List of Electives

S. No.	Subject
1	Mathematics of Computer Graphics (Semester I)
2	Matrices and Computations
3	Graph Theory
4	Theory of Probability and Stochastic Processes
5	Integral Transforms
6	Automata and Theory of Computation
7	Numerical Solution of Partial Differential Equations
8	Advanced Optimization Techniques (Semester II)
9	Calculus of Variations and Integral Equations
10	Fixed Point Theory
11	Techniques of Mathematical Modeling and Computer Simulation
12	Effective Communication Skills (Semester III) P.D. Dept.
13	Fractals and Chaos (Semester III)
14	Time Series Analysis
15	Wavelets and Applications (Semester IV)
16	Cryptography & Information Security
17	Algebraic Error Correcting Codes
18	Finite Element Method
19	Computational Fluid Dynamics
20	Applied Digital signal Processing (Semester IV) ECE Dept.