# 104.084 Mathematics for Chemists I This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_20",{id:"j_id_20",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_22",{id:"j_id_22",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2021W 2020W 2019W 2018W 2017W 2016W 2015W 2014W 2013W 2012W 2011W 2010W 2009W 2008W 2007W 2006W 2005W 2004W 2003W 2002W

2021W, VO, 3.0h, 4.5EC, to be held in blocked form

## Properties

• Semester hours: 3.0
• Credits: 4.5
• Type: VO Lecture
• LectureTube course
• 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/livestream; preparation of written notes; reassess, consolidate and expand the range of understanding by autonomously solving problems of the corresponding  exercise course.

Written

## Course dates

DayTimeDateLocationDescription
Wed08:00 - 10:0006.10.2021 - 13.10.2021GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Thu08:00 - 10:0007.10.2021 - 14.10.2021GM 2 Radinger Hörsaal - TCH 104.084: Mathematik für TCH I
Fri08:00 - 09:0008.10.2021 - 15.10.2021GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon08:00 - 10:0011.10.2021 - 10.01.2022GM 2 Radinger Hörsaal - TCH ---
Tue08:00 - 10:0012.10.2021 - 11.01.2022GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon08:00 - 10:0017.01.2022GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Tue08:00 - 10:0018.01.2022GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mathematics for Chemists I - Single appointments
DayDateTimeLocationDescription
Wed06.10.202108:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Thu07.10.202108:00 - 10:00GM 2 Radinger Hörsaal - TCH 104.084: Mathematik für TCH I
Fri08.10.202108:00 - 09:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon11.10.202108:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue12.10.202108:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Wed13.10.202108:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Thu14.10.202108:00 - 10:00GM 2 Radinger Hörsaal - TCH 104.084: Mathematik für TCH I
Fri15.10.202108:00 - 09:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon18.10.202108:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue19.10.202108:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon25.10.202108:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Mon08.11.202108:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue09.11.202108:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon15.11.202108:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue16.11.202108:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon22.11.202108:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue23.11.202108:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon29.11.202108:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue30.11.202108:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon06.12.202108:00 - 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)

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.

Necessary technical equipment for online-exams: Computer with camera, loudspeaker and microphone; reliable internet connection, printer.

For detailed regulations regarding online exams we refer to the homepage of the course.

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

## Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Wed16:00 - 18:0017.08.2022GM 2 Radinger Hörsaal - TCH written01.08.2022 08:00 - 15.08.2022 08:00TISSDorfer 2022/5I
Fri17:00 - 19:0007.10.2022GM 2 Radinger Hörsaal - TCH written21.09.2022 08:00 - 05.10.2022 08:00TISSDorfer 2022/6I
Fri14:00 - 16:0002.12.2022GM 2 Radinger Hörsaal - TCH written16.11.2022 08:00 - 30.11.2022 08:00TISSDorfer 2022/7I
Fri14:00 - 16:0020.01.2023GM 2 Radinger Hörsaal - TCH written04.01.2023 08:00 - 18.01.2023 08:00TISSBehrisch 2022/1I
Fri14:00 - 16:0024.03.2023GM 2 Radinger Hörsaal - TCH written08.03.2023 08:00 - 22.03.2023 08:00TISSBehrisch 2022/2I
Fri16:00 - 18:0002.06.2023GM 2 Radinger Hörsaal - TCH written17.05.2023 08:00 - 31.05.2023 08:00TISSBehrisch 2022/3I
Fri14:00 - 16:0030.06.2023GM 2 Radinger Hörsaal - TCH written14.06.2023 08:00 - 28.06.2023 08:00TISSBehrisch 2022/4I
Fri16:00 - 18:0025.08.2023GM 2 Radinger Hörsaal - TCH written09.08.2023 08:00 - 23.08.2023 08:00TISSBehrisch 2022/5I

## Course registration

Use Group Registration to register.

## Group Registration

GroupRegistration FromTo
Kohorte A04.10.2021 16:00
Kohorte B06.10.2021 16:00

## Curricula

Study CodeSemesterPrecon.Info
033 290 Technical Chemistry 1. Semester
Course belongs to the introductory and orientation phase ("Studieneingangs- und Orientierungsphase")
412 Subject: Physics 1. Semester
423 Subject: Chemistry 1. Semester

## 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.

German