Dirichlet’s conditions – General Fourier series – Odd and even functions – Half range sine series –Half range cosine series –Parseval’s identity – Harmonic analysis.

Fourier transform pair – Fourier sine and cosine transforms – Properties – Transforms of simple functions – Convolution theorem – Parseval’s identity.

Formation of partial differential equations – Singular integrals - Solutions of standard types of first order partial differential equations - Lagrange’s linear equation -- Linear partial differential equations of second order with constant coefficients (Homogeneous Problems).

Classification of PDE – Solutions of one-dimensional wave equation – One dimensional equation of heat conduction – Steady state solution of two dimensional equation of heat conduction (Excluding infinite plate and insulated edges)

Z- Transforms - Elementary properties – Z Transforms of simple functions - Inverse Z - transform – Convolution theorem - Formation of difference equations – Solution of difference equations using Z - transform