DEPARTMENT OF MATHEMATICS


Since its inception in 1951, the Department has been contributing richly to teaching and research in Mathematics and Statistics. However, over the past few decades due to rapid growth of Computer Science as an area of Mathematical Sciences, the department has been focusing its attention to Computer Science as well. At present, the Department offers a five-year integrated M.Sc. course in Mathematics and Computing, a two-year M.Sc course in Mathematics, a five-year integrated M.Sc. course in Statistics and Informatics, a two-year M.Sc. course in Statistics and Informatics, and a two-year MTech course in Computer Science and Data Processing. The Department also offers Mathematics, Statistics and Computer Science subjects to students of other departments. The department has an excellent computing environment in its own Computer laboratories which are equipped with Sun Fire V250 Server connected with Sun Ray 100 Thin client, SGI 02 Work station, IBM RS6000 Server, VXL Terminal Server and several Pentium machines. All these systems are connected to other computing facilities in the Institute through Internet via VSAT. For further information about the Department, one may visit its website www.webmath.iitkgp.ernet.in

The MTech programme in Computer Science and Data Processing has been running successfully since 1983. The programme gives an opportunity to students, who have not specialized in Computer Science at degree level but have adequate foundations in Mathematics or Electronics, to specialize in Computer Science.  The programme aims to produce software professionals who can design and develop systems and applications software, maintain available systems efficiently, and can adapt themselves to research and developments in the rapidly changing field of Computer Science. It is expected that students joining this course should be acquainted with at least one high-level programming language. The Department offers following specialization:

MA     Computer Science and Data Processing

Course Content

Core Subject : Theory and Practice of Programming Languages, Algorithms and Data Structures, Systems Programming, Operating Systems.

Electives:

Object-oriented Programming, Discrete Structures in Computer Science, Advanced Numerical Techniques, Theory of Compiler Design, Fuzzy sets and Applications, Software Engineering, Graph Theory and Algorithms, Parallel Algorithms, Formal Languages and Theory of Computation, Mathematical Logic and Logic Programming, Queueing, Inventory and Reliability, Pattern Recognition and Scene Analysis, Queuing Theory in Computer Science, Switching and Automata Theory, Information and Coding Theory, Artificial Intelligence, Advanced Computer Algorithms, Computer Networks, Computer Languages, Advanced Programming Techniques, Computer Architecture, Computer Graphics, Multi-Objective Programming, File Organization and Database Systems, Advanced Techniques in Operations Research, Fractals, Cryptography and Security Issues, Computational Linear Algebra, Computational Fluid Dynamics, Foundations In Computer Science, Decision Theory, Stochastic Process and Simulation, Time Series and Forecasting, Similarity Transformation and Perturbation methods, Wavelet Analysis, Non-linear Dynamics, Computational Algebra, Advanced Multi-variate Analysis, Optimization by vector space methods, Computational Topology, Computational Geometry.

There is a provision for six hours of Computer Laboratory per week in the first two semesters, a seminar in each semester and a comprehensive project work after the course work.

Areas of Research

Real and Complex Analysis, Functional Analysis, Algebra, Modern Algebra and Applications, Fluid Mechanics, Bio-Mechanics, Elasticity and Plasticity, Numerical Analysis, Operations Research, Mathematical Modelling, Theoretical Computer Science, Parallel and Distributed Computing, Compiler Design, Database Systems, Image Processing, Artificial Intelligence, Statistical Inference, Queuing Theory, Probabilistic Models, Stochastic Process and Forecasting, Fuzzy Mathematics, Relativity, Gravitation and Cosmology, Graph Theory and Combinatorics.

 


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