A review of concept of limit, continuity, differentiability & analytic functions. Review of Groups, Fields, and Matrices Vector Spaces, Subspaces, Linearly dependent/independent, Basis, Dimensions Isomorphism, Linear transformations and their matrix representations Rank, Inverse of Matrices, System of Equations Inner-product spaces, Cauchy- Schwarz Inequality Orthogonality, Gram-Schmidt orthogonalisation process Eigenvalue, Eigenvectors, Eigenspace Cayley-Hamilton Theorem Diagonalisation of matrices, Jordan canonical form Spectral representation of real symmetric, hermitian and normal matrices, positive definite and negative definite matrices. It deals with some advanced topics in Engineering Mathematics usually covered in a degree course.
It is a course suitable for B.Tech / M.Tech students of various discipline. This is a comprehensive mathematics course for engineering students, covering topics including linear algebra, complex variables, laplace and fourier transforms to solve ordinary and partial differential equations, and probability and statistics.
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