UNIT 1:
Problems based on full range series
Problems based on full range series.
Problems on Harmonic Analysis
Introduction and Application of General Fourier series- Dirichlet’s conditions
Properties of Fourier Transforms
Problems based on full range series
UNIT 2:
Introduction and Application of Fourier transforms
Fourier cosine Transforms
Transform of Simple functions
Inverse Fourier Transform
UNIT 3:
Introduction to Partial Differential Equation & Formation of partial differential equation
Formation of partial differential equation
Solutions of standard types of first order PDE
Tutorial 1: Problems based on Formation of partial differential equations
Solutions of standard types of first order PDE
Standard types and Equations reducible to standard types
Lagrange’s Linear equation
Tutorial 2: Problems based on Lagrange’s Linear equation
Lagrange’s Linear equation
Solution of linear equations of second and higher order with constant coefficients
Solution of linear equations of higher order with constant coefficients and both homogeneous equations
Tutorial 3: Problems based on Solution of linear
Tutorial 2: Problems based on Lagrange’s Linear equation
Lagrange’s Linear equation