How to understand numerical methods?

Question

Mathematics

Good afternoon.
I am a distance learning student. At my university there is such a subject "Computational Methods and Computer Algebra". Actually, there is no sensible literature for this subject at the university itself. Only a manual on 127 pages. According to this training manual, nothing can be clearly understood, it is so short that a certain method is described on half a page. Yes, and looking into it, I see a fig. I have already studied higher mathematics 2 times in my life. But as time passes, nothing can be remembered.
Practice is done in matlab.
If you can do something with this program and manual for laboratory work (and then 2 works out of 4), then I have a problem with theory.
Maybe someone will tell you literature, online lectures, or something else like that, so that it would be possible to pass a test in this subject.
Main topics:
SLAE, Approximation of functions, Numerical integration, Nonlinear equations, Ordinary differentials. equations and their systems, Symbolic operations.

Answer 1

Playlist for solving D/C systems: https://www.youtube.com/watch?v=QXXZ0KwZICo&list=P... This channel is mainly about MATLAB, there are many other video collections.
You can also see the documentation in Russian: https://docs.exponenta.ru/ (choose a tool and see examples of solutions)
Well, the main advantage is everything is free)