UNIT 1:
Introduction and Application of General Fourier series- Dirichlet’s conditions
Problems based on full range series (0, 2Ï€)
Problems based on full range series (0, 2l)
Problems on odd and even functions (-π, π)
Half range sine& Cosine series
Half range sine& Cosine series
Problems on Harmonic Analysis
UNIT 2:
Introduction and Application of Fourier transforms
Properties of Fourier Transforms
Fourier cosine Transforms
Transform of Simple functions
Inverse Fourier Transform
UNIT 3:
Introduction, Applications and Formation of partial differential equation
Formation of partial differential equation
Solutions of standard types of first order PDE (Type I, II)
Solutions of standard types of first order PDE (Type III, Type IV)
Standard types and Equations reducible to standard types
Lagranges Linear equation
Problems on Lagranges Linear equation
Solution of linear equations of second and higher order with constant coefficients-Homogeneous
Problems on Solution of linear equations of second and higher order with constant coefficients-Homogeneous
