Description
Fourier Series : Fourier Series, Theorems, Dirichlet’s conditions, Fourier series for odd and even functions, Half Range Fourier series, Other forms of Fourier series.
Hankel Transforms : Hankel transform, Properties of Hankel transforms
Fourier transforms and its applications : 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 to solve some model equations, One dimensional heat equation, One dimensional wave equation.
