Learning mathematical methods to solve problems from chemistry as part of the studies or in a professional environment. Acquisition of the necessary background knowledge and the abilities to apply it.

Content: numerical methods, linear algebra, analysis of functions in several variables and examples from chemistry. Applications of the presented methods to the mathematical modelling of chemical problems will be given.

Dates:

• on Tuesday, Wednesday and Thursday (8:10 to 9:00 a.m.) in GM2 (Radinger lecture hall)
• starting from 5 March 2019
• last date: presumably 6 June 2019

Examination:

• first possible date (2019S): 05 July2019
• alternative date (2019S): 30 August 2019,
• also within the subsequent semesters (cf. TISS), usually 3 dates (roughly beginning, mid, end of term)
• registration through TISS (consider the deadlines for registration or cancellation); only registered students are allowed to participate in the exam (to be only on the waiting list is insufficient)
• further information under "Examination Modalities"

Exercise sessions:

• Introductory meeting ("Vorbesprechung") on Wednesday, 6 March 2019, 9:15-11:15 a.m. in GM 2 (Radinger lecture hall), directly following the lecture
• Registration for the exercises is to be done via TISS (after the introductory meeting).
• Beginning from 20 March for odd groups, from 27 March for even groups; (all groups fortnightly)
• Wednesdays (9:15-11:15 a.m.)
• The collection of exercise problems is available under Literature, "Go to Course Materials", Files
• exact dates and further details: see TUWEL
• problems to be solved: see TUWEL (will appear at least one week before the exercise session)
  
  
• Announce prepared problem solutions timely via TUWEL.
• latest timely submission: every Tuesday, 9:55 p.m.
• necessary condition for a positive result:
• at least 60% of all problems have to be checked (29 > 6×8*0.6) and
• the presentation by the board is positive (on average)
• 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 (even if TISS is using this kind of terminology for the type of course assessment). Evaluation of the candiate's qualifications is done throughout the whole course during the exercise sessions.

• Course assessment is done by written exam.
• Registration for the exam is possible via TISS (consider the deadlines for registration or cancellation carefully); only registered students can take the exam (to be simply on the waiting list is not sufficient)
• There will be given 100 minutes (1 h 40 min) to complete the exam.
• The whole content of the lecture is subject to examination (not only the topics covered by the exercise sessions) [The concept "content" describes the content of this lecture as given in the summer term of 2019; it does not apply and is perhaps unrelated to other content presented (by possibly other lecturers) in other semesters. It is the duty of the candidate to make sure he/she is aware of possible changed (if applicable) compared to previous semesters.]. There will be practical questions dealing with modelling or calculations similarly to the exercise sessions, as well as theoretical questions concerning the definitions, concepts and theorems (including their proofs) covered in the lecture.
• Authorized resources:
  1) Collection of mathematical formulae: the collection "Mathematik für Chemiker" that is available at Institut 104 or a collection containing the endorsement "für die allgemeinbildenden höheren Schulen zur Abfassung der schriftlichen Reifeprüfung" authored by (a possibly proper subset of) {Götz, Bürger, Kraft, Unfried} [other collections are explicity forbidden]; no additional notes in the collection of formulae are permitted.
  2) Calculators: calculators are admitted to perform the basic numerical operations (such as addition, subtraction, multiplication, division, square roots) and to calculate values of fundamental functions (trigonometric operations, exponentials and their inverses); calculators allowing for one of the following operations are not approved: numerical or symbolic integration, numerical or symbolic derivation, drawing of graphs of real functions, matrix operations, integrated computer algebra system, programmable calculators
• In case of doubt, it is the responsibility of the candidate to check the acceptability of the means he or she intends to use in advance.
  Student identity cards are to be presented upon the exam to permit identity verification.
• If (after registration) the exam cannot be taken due to illness, a medical report is to be presented. Otherwise, the exam counts as a failed attempt. Announce your condition to the person supervising the exam before the exam starts, i.e. before you will be handed out the exam paper. Otherwise, illness cannot be recognised as an excuse to resign from the exam.

• "Mathematische Grundlagen für Chemiker", Volumes I, II and III. These books are available as e-books (TU Studienbibliothek).

Further reading: 

• H. Zachmann & A. Jüngel, "Mathematik für Chemiker", Wiley-VCH, Weinheim, 2007.
• J. Michael Fried," Mathematik für Ingenieure I und II -Für Dummies", Wiley-VCH, Weinheim, 2010 and 2013.
• H.-G. Roos & H. Schwetlick, "Numerische Mathematik. Das Grundwissen für jedermann." Mathematik für Ingenieure und Naturwissenschaftler. 220 pages. Teubner, Stuttgart/Leipzig, 1999
  ISBN 3-519-00221-3
• M. Drmota & B. Gittenberger & G. Karigl & A. Panholzer, "Mathematik für Informatik" Berliner Studienreihe zur Mathematik. Volume 17. 438 pages. Heldermann, Lemgo, 2008
  ISBN 3-88538-117-4
• A. Kielbasinski & H. Schwetlick, "Numerische lineare Algebra. Eine computerorienierte Einführung." Mathematik für Naturwissenschaft und Technik 18. 472 pages, Deutscher Verlag der Wissenschaften, Berlin, 1988.
  ISBN 3-87144-999-7
• Helmut Länger, "Grundlagen der Analysis und Linearen Algebra", TU-MV Media Verlag, Wien, 2018. ISBN 978-3-903024-83-0

It is recommended to complete "Mathematics for Chemists I".