CS2101 Mathematics-II
(Common to all Branches)

Unit I

Matrices – Types of Matrices, Inverse – Elementary row transformations – Rank – Solution of a system of linear equations – Homogeneous and non-Homogeneous equations

Unit II

Eigen Values – Eigen Vectors – Cayley Hamilton Theorem – its applications – quadratic forms – Canonical forms – Diagonalisation – Properties of Eigen values of orthogonal, hermitic, Schewhermitian and Unitary matrices.

Unit III

Periodic Functions – Even and Odd functions – Fourier series – change of interval – half rang expansion.

Unit IV

Formation of Partial differential equations by eliminating arbitrary constraints and functions – Solutions of first order equations – Solutions of Host equation, Wave equation (one dimensional only) and Laplace’s equation by method of separation of variables.

Unit V

Fourier Integral Theorem – Finite and Infinite Fourier Transforms – Inverse Transforms – Application to Boundary Value Problems – Z-Transforms, Inverse Z-Transforms

Text Books

1. Advanced Engineering Mathematics – by Kreyazig E
2. Higher Engineering Mathematics – by BS Grewal
3. Engineers Mathematics – by Lazpath Roy