## Description

**Fourier Series : **Dirichlets conditions, Fourier integral formula (without proof), Fourier transform, Inverse Theorem for Fourier transform, Fourier sine and cosine transforms and their inversion formulae. Linearity property of Fourier transforms, Change of scale property, Shifting theorem, Modulation theorem, Convolution theorem of Fourier transforms, Parseval’s identity, Finite Fourier sine transform, Inversion formula for sine transform, Finite Fourier cosine Transform, Inversion formula for cosine transform.

** Applications of Laplace and Fourier Transforms : **Applications of Laplace transforms to the solution of ordinary equations with constant coefficients and variable coefficients, Simultaneous ordinary differential equations, Second order Partial differential equations (Heat, Wave and Laplace).