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 analyse, 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.

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## Please do not miss the **introductory meeting** ("Vorbesprechung", **5 October 2022, 8—9 a.m.**)! ##

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**Registration for the exercise sessions: after the introductory meeting via TISS (registration for individual groups).**

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

There will be 5 groups with identifiers 1, 2, 3, 5, 8. Upon registration you will choose (exactly) one of them. The exercise sessions of the individual groups happen on the following weekdays: Monday (1), Wednesday (2,5), Thursday (3,8); information regarding precise times and rooms is available from the group tab.

The exercise groups have limited capacity; once it is attained, you will be moved to a waiting queue. Registrants on the waiting list will be automatically confirmed if free places become available. If you still remain without confirmation on a waiting list after the registration deadline, you will be assigned a group in order to obtain comparable group sizes.

Exercise sessions in individual groups start in the week 17—21 October 2022, with the exception of group 1, starting on 24 October 2022. For the dates of the sessions of the individual groups, please refer to the corresponding TUWEL course.

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.

The exercise sessions for groups 1, 2, and 5 in the week 19—21 December 2022 will be held on-line via zoom (further details may be found in TUWEL).

The students have to present their solutions to exercises on the blackboard, they have to declare in advance which exercises they were able to solve, they also should actively participate in the discussion of solutions of other students.

For a positive grade at least 60 % of exercises have to be declared as solved. At least two times during the semester each student has to present his solution of a problem to the group of students and the course instructor. These presentations have to be assessed positively overall, an insufficient presentation can be compensated by a satisfactory one.

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.

D. Dorninger & H. Kaiser: "Mathematische Grundlagen für Chemiker I". Prugg Verlag. ISBN 3-85385-003-0.

D. Dorninger, G. Eigenthaler & G. Hasibeder: "Mathematische Grundlagen für Chemiker III - Aufgabensammlung". Prugg Verlag. ISBN 3-85238-045-6.

Diese Bücher sind in der Lehrbuchsammlung der TU Wien Chemie- und Maschinenbaubibliothek verfügbar.

Knowledge from the lecture "Mathematik für TCH I", held in the same semester, is required.

Additionally: Solid knowledge of mathematics as taught at school.

It is recommended, and considered helpful, to attend the course "101.748 Harmonisation Course Mathematics" in order to freshen up (or improve) your knowledge of mathematics. Note that this course already starts towards the end of September.