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2023W, VO, 3.0h, 4.5EC, to be held in blocked form

## Properties

• Semester hours: 3.0
• Credits: 4.5
• Type: VO Lecture
• Format: Presence

## Learning outcomes

After successful completion of the course, students are able to
- master elementary mathematical models and employ these models properly on according 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 the mathematical method to systematically analyze, structure and investigate problems.

## Subject of course

Mathematical methods and models from the following subjects:

• Algebra: groups, symmetry groups of molecules; number systems (rational, real, complex numbers); basic notions in probability; polynomials, partial fraction decomposition of rational functions
• Calculus in one variable: sequences, series, power series and Fourier series; elementary functions; differentiable functions; mean value theorem and its consequences; definite and indefinite integration; calculating integrals; chemical kinetics; improper integral
• Elements of statistics: random variables, distribution function, expected value, variance, etc; basic inferential statistics
• Ordinary differential equations: introduction; approximate solution by power series expansion; first order differential equations, methods of solution, general theory; second order linear differential equations with constant coefficients; Schrödinger equation, an easy case

In all parts we include practical problems from chemistry and physics, respectively.

## Teaching methods

In the lecture the mathematical contents are presented mainly by data projection, it contains illustrations and several examples with reference to applications in chemistry.

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

Written

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## Course dates

DayTimeDateLocationDescription
Thu08:00 - 10:0005.10.2023 - 12.10.2023GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Fri08:00 - 10:0006.10.2023GM 2 Radinger Hörsaal - TCH VO Mathematics for Chemists I
Mon08:00 - 10:0009.10.2023 - 08.01.2024GM 2 Radinger Hörsaal - TCH ---
Tue08:00 - 10:0010.10.2023 - 09.01.2024GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Wed08:00 - 10:0011.10.2023 - 18.10.2023GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mathematics for Chemists I - Single appointments
DayDateTimeLocationDescription
Thu05.10.202308:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Fri06.10.202308:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematics for Chemists I
Mon09.10.202308:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue10.10.202308:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Wed11.10.202308:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Thu12.10.202308:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon16.10.202308:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue17.10.202308:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Wed18.10.202308:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon23.10.202308:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue24.10.202308:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon30.10.202308:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Mon06.11.202308:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue07.11.202308:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon13.11.202308:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Mon20.11.202308:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue21.11.202308:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon27.11.202308:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue28.11.202308:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon04.12.202308:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Course is held blocked

## Examination modalities

Written exam, duration 100 minutes, consisting of 5 questions 3 of which are of computational nature similar to the questions in the corresponding exercise course, 2 questions concern definitions, theorems, (sketches of) proofs and interrelationship among the topics dealt with in the lecture.

The total amount of points to be gained is 40, the grading scale is as follows:
0-19 points: Not Sufficient (grad 5)
20-24 points: Sufficient (grade 4)
25-29 points: Satisfactory (grade 3)
30-34 points: Good (grade 2)
35-40 points: Excellent (grade 1)

Assistive equipment allowed during exam:
1) A mathematical formulary: two particular formularies are allowed, the "Formelsammlung zu Mathematik für Chemiker" edited at Institute for Discrete Mathematics and Geometry, and the  „Mathematische Formelsammlung“ authored by Götz, Kraft, öbv, 13th edition (or earlier editions with other/additional authors).
2) A calculator evaluating only basic operations and functions, not programmable, no graphic representation of functions, no computer algebra system, no (numerical) integration/differentiation.

Oral inquiry  in order to authenticate the written exam is possible.

The guidelines listed in https://dmg.tuwien.ac.at/dorfer/TCH_I/Pruefung.html have to be adhered to.

## Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Fri14:00 - 16:0011.10.2024GM 2 Radinger Hörsaal - TCH written25.09.2024 08:00 - 09.10.2024 08:00TISSDorfer 2024/6I
Fri16:00 - 18:0022.11.2024GM 2 Radinger Hörsaal - TCH written06.11.2024 08:00 - 20.11.2024 08:00TISSDorfer 2024/7I
Fri14:00 - 16:0014.02.2025GM 2 Radinger Hörsaal - TCH written29.01.2025 08:00 - 12.02.2025 08:00TISSBehrisch 2024/1I
Fri14:00 - 16:0014.03.2025GM 2 Radinger Hörsaal - TCH written26.02.2025 08:00 - 12.03.2025 08:00TISSBehrisch 2024/2I
Fri16:00 - 18:0016.05.2025GM 2 Radinger Hörsaal - TCH written30.04.2025 08:00 - 14.05.2025 08:00TISSBehrisch 2024/3I
Fri14:00 - 16:0018.07.2025GM 2 Radinger Hörsaal - TCH written02.07.2025 08:00 - 16.07.2025 08:00TISSBehrisch 2024/4I

## Course registration

Begin End Deregistration end
04.10.2023 08:00 04.11.2023 08:00

## Curricula

Study CodeObligationSemesterPrecon.Info
033 290 Technical Chemistry Mandatory1. Semester
Course belongs to the introductory and orientation phase ("Studieneingangs- und Orientierungsphase")

## Literature

• D. Dorninger et al., "Mathematische Grundlagen für Chemiker", Bände I, II und III. Prugg Verlag, Eisenstadt, 1983.
• H. Zachmann & A. Jüngel, "Mathematik für Chemiker", Wiley-VCH, Weinheim, 2007.
• M. Drmota & B. Gittenberger & G. Karigl & A. Panholzer, "Mathematik für Informatik" Berliner Studienreihe zur Mathematik. Band 17. 438 Seiten. Heldermann, Lemgo, 2008
ISBN 3-88538-117-4
• H. Heuser, "Lehrbuch der Analysis Teil 1" Mathematische Leitfäden. 17. Ausgabe. XI+632 Seiten. Vieweg+Teubner Verlag, Wiesbaden, 2009
ISBN 978-3-8348-0777-9

## Previous knowledge

Solid knowledge of mathematics as taught at school.

It is stongly recommended 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.

German