### Mixed videos

Here you find some YouTube videos that are not part of a whole course and stand for themselves. You can also download the pdf versions here.

#### Jordan Normal Form

*This is a short video series about the Jordan normal form as one learns it in Linear algebra*

This is an overview for the topic.

This is an example.

This is another example

This is about the transformation matrices.

#### Riemann integral vs. Lebesgue integral

*The following video is used as a motivation for my measure theory series.*

Here, I explain the differences between the Riemann integral and the Lebesgue integral in a demonstrative way.

#### Greek Letters in Mathematics

*This is a video that explains all the Greek letters which are used in Mathematics and Physics.*

This is the video about greek letters.

#### Explaining Mathematics with OBS

*This video explains how one can use OBS to improve presentations through online conferences.*

OBS is a powerful program. Combining it with online conferences has large advantages for everyone. So please use this nice software :)

#### LU decomposition - An Example

*This video is about the LU decomposition for square matrices. I show the algorithm with the help of an example.*

The LU decomposition essentially is the Gaussian elimination while store all the steps in a matrix.

#### PLU decomposition - An Example

*This video generalises the LU-decomposition from before to non-square matrices where also row exchanges could be needed. This means that the PLU decomposition is the general procedure to apply the Gaussian elimination in a closed matrix form.*

The PLU decomposition for non-square matrices will be explained with the help of an example.

#### Complex Numbers - Solving equations

*This is an important procedure to solve equations in the complex numbers.*

We use an example to explain how to solve simple equations with complex numbers.