## Mathematics for physics enthusiasts I

Free online course where you learn basic math that a physicist should know in order to do physics at all.

Free online course where you learn basic math that a physicist should know in order to do physics at all.

Here you will learn the basics of multidimensional differentiation and integration as well as how to deal with differential equations. These are important tools in physics.

Here you practice the properties of the Kronecker delta by simplifying given expressions as much as possible.

In this Lecture you will learn to classify and to solve arbitrary differential equations (ODE / PDE) in 42 minutes.

In this video you will learn the Kronecker delta within 10 minutes and how you can use it to write down the scalar product in index notation.

` $$ \nabla \, f(x,y,z) ~=~ \begin{bmatrix} \frac{\partial f}{\partial x} \\ \frac{\partial f}{\partial y} \\ \frac{\partial f}{\partial z} \end{bmatrix} $$ `

Here you will learn the basics of differential equations (DGL), what types there are (ordinary, partial, linear, homogeneous) and 4 solving methods (separation of variables, variation of constants, exponential and separation ansatz).

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