After successful completion of the course, students are able to

- master elementary mathematical models and employ these models on related questions,

- understand mathematical language and formalism so that they can independently study mathematical textbooks and work their way into new subject areas,

- work sensibly with the subjects dealt with in the course and use them in other courses (e.g. Physics, Physical Chemistry, ...).

Graduates are acquainted with mathematical methods to systematically analyze, structure and investigate problems.

For the exercises course the students are split into groups of up to 30 participants. In preparation for every exercise unit the students have to work on 8 problems and announce which problems they were able to solve. During the exercise session, for each problem a student is chosen who explains his/her solution on the blackboard to the group. This solution is discussed within the group, solution variants, subsequent questions and cross-connections to other topics are also addressed. Several exercises deal with application-oriented problems from chemistry or physics which should further the motivation to study abstract mathematical concepts of the corresponding lecture.

**Due to the pandemic, the way how this course is held may change.**

Please do not miss the introductory meeting ("Vorbesprechung", 1 Mar 2023)!

**Registration for the exercise sessions: after the introductory meeting via TISS.**

Please register only for the exercises if you actually wish to join the course, actively participate and obtain a grade at the end.

For the individual groups the exercise classes start on 22 Mar 2023 (even group numbers) and on 29 Mar 2023 (odd group numbers). The individual dates are as follows (cf. TUWEL):

Groups 2,4,6: 22 Mar, 19 Apr, 3 May, 17 May, 31 May, 14 Jun

Groups 1,3,5: 29 Mar, 26 Apr, 10 May, 24 May, 7 Jun, 21 Jun

Problems to be solved are to be found in TUWEL (1st exercise sheet in TISS under Literature, "Go to Course Materials", Files); please timely declare in TUWEL those problems solutions of which you are willing to present.

continuous assessment of presented solutions (direct feedback), which have to be prepared in advance

minimum requirements are preparation of at least 60% of all exercise problems and a positive assessment (on average) of the oral presentations

Details regarding marks:

- A bad average assessment of the oral presentation implies a bad final mark (independently of a possibly high percentage of prepared problem solutions).
- A low percentage of prepared problems (e.g. only slightly above the minimum of 60%) entails a bad (at best mediocre) final result, even in the case of a very good oral performance;
- however, a good to excellent oral presentation will relax the minimum requirements regarding the percentage of solved problems to achieve a certain final mark.
- There is no explicit written / oral examination for the exercise sessions. Evaluation of the candiate's qualifications is done throughout the whole course during the exercise sessions.

Knowledge from the lecture and the exercise sessions "Mathematics for Chemists I", held in the previous semester, as well as from the lecture "Mathematics for Chemists II", given in the same semester, is required.