Lectures related to Laplace Equation: Uniqueness and Fundamental Solution

Tensorial Operators: Transformations and Symmetry

Covers the transformation of vectors under rotations and introduces tensorial operators.

Symmetry and Group Theory: Exercise 5

Covers the basis for irreducible representations and characters of direct product representations.

Discrete Symmetries Introduction

Introduces discrete symmetries, operators, and tetraquarks in quantum field theory.

Linear PDEs of Order 2

Covers linear PDEs of order 2, focusing on elliptic second-order PDEs and boundary conditions.

General Existence Results for PDEs

Covers the general existence result for the Laplace-Dirichlet problem and the properties of the Newtonian potential.

Fundamental Solutions of Laplace Equation

Explores fundamental solutions of the Laplace equation and their physical interpretation.

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Laplace Equation: Decomposition and Solutions

Covers the Laplace equation, decomposition of linear problems, and solutions through separation of variables.

Multipole Expansion in Electrostatics and Magnetostatics

Explores multipole expansion in electrostatics and magnetostatics, focusing on monopole, dipole, and higher-order moments, and their mathematical representations.