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.