Course: Mathematics for physics enthusiasts II

Here you learn everything about Kronecker-Delta! Including 4 calculation rules with Einstein's summation convention, typical mistakes and more.

Here you will learn about Levi-Civita symbol; how it is defined and how it can be used to write and prove scalar triple product and cross product.

Here you will learn about the delta function and its properties, which you can use for example to describe an electric point charge.

Here you will learn what a Fourier series is, how it can be calculated, and the role of Fourier coefficients and basis functions.

Learn Nabla operator to represent and calculate gradient (grad), divergence (div), rotation (curl) and other operators.

Learn to calculate the gradient of a function using the Nabla operator and to determine the directional derivative.

Here you will learn what divergence of a vector field is and what it has to do with electric charges as sources and sinks.

Proof of the two Green's identities (formulas) using the Gauss integral theorem, which are useful in the calculation of some electric potentials.