104.084 Mathematics for Chemists I
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2019W, VO, 3.0h, 4.5EC, to be held in blocked form

Properties

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

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; sequences, series, power series and Fourier series
  • Calculus in one variable: 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 contents are presented on the blackboard or 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 the range of understanding by autonomously solving related exercises.

Mode of examination

Written

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Mon08:00 - 10:0007.10.2019 - 13.01.2020GM 2 Radinger Hörsaal - TCH ---
Tue08:00 - 10:0008.10.2019 - 14.01.2020GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Thu08:00 - 10:0010.10.2019 - 17.10.2019GM 2 Radinger Hörsaal - TCH 104.084: Mathematik für TCH I
Mathematics for Chemists I - Single appointments
DayDateTimeLocationDescription
Mon07.10.201908:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue08.10.201908:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Thu10.10.201908:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon14.10.201908:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue15.10.201908:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Thu17.10.201908:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon21.10.201908:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue22.10.201908:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon28.10.201908:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue29.10.201908:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon04.11.201908:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue05.11.201908:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon11.11.201908:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue12.11.201908:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon18.11.201908:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue19.11.201908:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon25.11.201908:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue26.11.201908:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
Mon02.12.201908:00 - 10:00GM 2 Radinger Hörsaal - TCH ---
Tue03.12.201908:00 - 10:00GM 2 Radinger Hörsaal - TCH VO Mathematik für TCH I
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.

Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Fri11:30 - 13:3004.09.2020GM 5 Praktikum HS- ARCH-INF written21.08.2020 08:00 - 02.09.2020 08:00TISSDorfer
Fri11:30 - 13:3004.09.2020GM 2 Radinger Hörsaal - TCH written21.08.2020 08:00 - 02.09.2020 08:00TISSDorfer
Fri14:00 - 16:0023.10.2020GM 2 Radinger Hörsaal - TCH written07.10.2020 08:00 - 21.10.2020 08:00TISSDorfer
Fri14:00 - 16:0023.10.2020GM 5 Praktikum HS- ARCH-INF written07.10.2020 08:00 - 21.10.2020 08:00TISSDorfer
Fri14:00 - 16:0020.11.2020GM 2 Radinger Hörsaal - TCH written04.11.2020 08:00 - 18.11.2020 08:00TISSDorfer
Fri14:00 - 16:0020.11.2020EI 8 Pötzl HS written04.11.2020 08:00 - 18.11.2020 08:00TISSDorfer
Fri16:00 - 18:0004.12.2020GM 5 Praktikum HS- ARCH-INF written18.11.2020 08:00 - 02.12.2020 08:00TISSDorfer
Fri16:00 - 18:0004.12.2020GM 2 Radinger Hörsaal - TCH written18.11.2020 08:00 - 02.12.2020 08:00TISSDorfer
Fri14:00 - 16:0015.01.2021FH Hörsaal 5 - TPH written30.12.2020 08:00 - 13.01.2021 08:00TISSDorfer
Fri14:00 - 16:0015.01.2021GM 2 Radinger Hörsaal - TCH written30.12.2020 08:00 - 13.01.2021 08:00TISSDorfer
Thu14:00 - 16:0025.02.2021FH 8 Nöbauer HS - MATH written09.02.2021 08:00 - 23.02.2021 08:00TISSDorfer
Thu14:00 - 16:0025.02.2021FH Hörsaal 6 - TPH written09.02.2021 08:00 - 23.02.2021 08:00TISSDorfer

Course registration

Not necessary

Curricula

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

Literature

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

Further reading:

  • H. Zachmann & A. Jüngel, "Mathematik für Chemiker", Wiley-VCH, Weinheim, 2007.

Accompanying courses

Miscellaneous

Language

German