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.
Advice for solving exercise problems (lecture and exercise are a compound construct):
- Isolate the topic of the exercise problem and the concepts appearing therein.
- Find this topic/the concepts in the lecture notes, study the surrounding notes and attempt to understand the topic as well as possible.
- Find connections to the questions in the exercise problem and solve it. As the case may be ask questions about concepts or calculations you find challenging in the Konversatorium, or in the lecture (or in the exercise class). In general: if you don't understand something (after thinking about it), ask in the appropriate place!
- If neccessary iterate switching between points 2 and 3. Do not expect that a(ny) exercise problem is a simple copy of a calculation that was presented identically in the lecture, only with replaced parameters. Such problems may appear, but from solving those one does not learn too much, in general. Not every exercise question is a calculation: more and more not the what and how but the why in your derivation are important.
- This way of dealing with exercise sheets is time-consuming, but leads to success (also for the written exam of the lecture and the future studies).
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## Please do not miss the introductory meeting ("Vorbesprechung", 7 October 2024, 10—11 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.
If you have already studied several semesters and intend to repeat the exercise course and therefore have time constraints concerning the week day, please timely write a message by email to the course organiser, so that we can try to encorporate your needs while organising the groups.
Exercise sessions in individual groups start in the week 21—25 October 2024. 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.
For group 1 the 10th exercise session will take place on Tue, 7 Jan 2025 in Radinger lecture hall; the 12th session will take place on 27 Jan 2025 (not on 20 Jan 2025).
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.