MTech Mathematical Methods In Control syllabus for 1 Sem 2018 scheme 18EEE11

Module-1 Module-1 10 hours

Introduction to vector spaces and sub-spaces, definitions, illustrative example. Linearly independent and dependent vectors- Basis-definition and problems. Linear transformations-definitions. Matrix form of linear transformations-Illustrative examples

Module-2 Module-2 10 hours

Solution of Systems of Linear Equations:

Direct methods-Relaxation method, Partition method, Croute’s Triangularisation method. Eigen values and Eigen vectors. Bounds on Eigen Values. Jacobi method & Givens method for symmetric matrices

A d v e r t i s e m e n t
Module-3 Module-3 10 hours

Orthogonal vectors and orthogonal bases. Gram-Schmidt orthogonalization process. SVD and Applications

Module-4 Module-4 10 hours

Probability:

Random variables, Probability distributions: Binomial, Poisson, Normal distributions, Joint probability distribution (discrete and continuous)-Illustrative examples.

Module-5 Module-5 10 hours

Moments, central moments, characteristic functions, probability generating and moment generating functions-illustrations. Poisson, Gaussian and Erlang distributions-examples.