Course Contents

1. TENSOR IN PHYSICS 2. GREEN FUNCTION 3. SPECIAL FUNCTION

Course Synopsis

1. TENSOR IN PHYSICS: Tensor Algebra, orthogonal transformation, Cartesian, linear transformation, divergence and curl of a vector field in tonsorial notation, symmetric and anti-symmetric tensor, pseudo tensor. 2. GREEN FUNCTION: Definition, strum liouville system, green's function for strum liouville problem operator, homogeneous boundary value problem, green function, eigen function expansion of green function for one dimension problem. 3. SPECIAL FUNCTION: Bessel function, spherical bessel function, legendre polynomials, associated legendre polynomial.

Course Learning Outcomes

◆ To learn the basic technique of tensor to solve different problems in physics ◆ To learn orthogonal transformation ◆ To get the concept about symmetric and anti-symmetric tensor ◆ To learn and apply green function to solve various problems in Physics ◆ To learn the importance of special functions to solve the various problems in Physics.