After successful completion of the course, students are able to... [*Esteemed readers, ask the maintainers of TISS why this sentence has to be here, don't ask me!*]

After successful completion of the course, students are able, for topics from numerical mathematics, linear algebra and analysis mentioned under ‘Subject of course’, to determine whether problems are well-defined, in selected cases if they are solvable, and in concrete instances to obtain a theoretically justified computational solution and possibly to give a geometric interpretation thereof. They are able to check whether certain properties hold, to decide whether the application of certain methods makes sense, and to give sound reasons for why their results are correct. They are able to define important mathematical concepts and to explain interconnections between them. Moreover, they are able to master elementary mathematical models and employ these models properly in suitable circumstances, as well as to understand mathematical language and formalism so that they can independently study mathematical textbooks and work their way into new subject areas (as needed, for example, for applications in physics or physical chemistry).

In the lecture the mathematical contents are presented mainly by data projection;

this includes presentation of general theoretical arguments, discussion of concrete problem cases, showcasing of (computational) solutions for concrete questions.

From the students' side: active attendance during the lecture (livestream); preparation of written notes; reassess, consolidate and expand the range of understanding by autonomously solving problems of the corresponding exercise course.

According to the pandemic situation the procedure of the course may vary.

No lectures on 23 to 25 May 2023; please use the videos provided under course materials.