PHE-14 Mathematical Methods in Physics-III

PHE-14 Mathematical Methods in Physics-III

Block 1 - Matrices, Tensors and Group Theory

The Eigen Value Problem for Matrices

The Eigen Value Problem for Special Matrices

Diagonalisation of Matrices

An Introduction to Tensors

Basic Notions of Group Theory

Applications of Group Theory

Block 2 - Complex Analysis

Functions of a Complex Variable-Analyticity

Complex Integration

The Residue Theorem and its Applications

Block 3 - Fourier and Laplace Transforms

Fourier Transforms

Applications of Fourier Transforms

Laplace Transforms

Applications of Laplace Transforms

Block 4 - Special Functions

Legendre Polynomials

Bessel Functions

Hermite and Laguerre Polynomials

Total-7, Solved-5, Unsolved-2

February (2021)

June (2018-2020)

December (2017-2019)