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Linear algebra and applications
Sub topics :Matrix theory,
Combinatorial linear algebra,
Numerical linear analysis Computational linear algebra,
Markov chains etc.
Numerical analysis
Sub topics :Finite Elements, Scientific computing Convergence analysis,
Non-linear systems Simulation etc.
Differential equations and applications
Sub topics :PDE’s, SDE’s, Difference equations,Integral equations, Variation methods,Nonlinear systems
Probabilities and statistics
Sub topics :Probability theory,
Stochastic process,Applied statistics
,Mathematical statistics, ,Identification Simulation etc
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Operations Research and Optimization
Sub topics :Decision theory,
Game theory, Queueing theory,
Reliability theory, Routing theory,
Transportation problems Financial mathematics
Sub Topics : Inventory control,LP, Quadratic programming, Convex programming, Nonlinear programming, Stochastic programming Combinatorial programming
Discrete Mathematics and Control
Sub Topics :Methods of algorithmic analysis, Algorithms ,Combinatorial problems,
Graph theory, Coding Cryptology,
Signal processing, Real time systems,
Control theory
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