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Mathematics for Physicists 3 (Analysis 2)

Module MA9203

This Module is offered by TUM Department of Mathematics.

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Module version of SS 2012 (current)

There are historic module descriptions of this module. A module description is valid until replaced by a newer one.

available module versions
SS 2012WS 2011/2

Basic Information

MA9203 is a semester module in German language at Bachelor’s level which is offered in summer semester.

This Module is included in the following catalogues within the study programs in physics.

  • Fundamentals Examination (GOP, Part 2) in the Bachelor programme Physics
Total workloadContact hoursCredits (ECTS)
240 h 90 h 8 CP

Content, Learning Outcome and Preconditions


Multivariable calculus: continuity, differentiability, Taylor series, extreme value problems, implicitly defined functions. Basics of vector analysis, line integrals; ordinary differential equations.

Learning Outcome

After successfully attending this course, students are familiar with multivariable calculus and know how to solve basic problems. They also know basic results and techniques in the theory of ordinary differential equations.


MA9201 Mathematics for Physicists 1 (Linear Algebra 1), MA9202 Mathematics for Physicists 2 (Analysis 1)

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VO 4 Mathematics for Physicists 3 [MA9203] Kreiner, C. Warzel, S. Fri, 12:15–13:45, PH HS1
Thu, 10:15–11:45, PH HS1
Tue, 10:15–11:45, Interims I 101
UE 2 Mathematics for Physicists 3 (Exercise Session) [MA9203] Kreiner, C. Warzel, S. dates in groups
UE 2 Mathematics for Physicists 3 (Exercise Session) [MA9203] Kreiner, C. Warzel, S. Fri, 12:15–13:45, PH HS1

Learning and Teaching Methods

lecture, exercise module, assignments
The module is offered as lectures with accompanying practice sessions. In the lectures, the contents will be presented in a talk with demonstrative examples, as well as through discussion with the students. The lectures should motivate the students to carry out their own analysis of the themes presented and to independently study the relevant literature. Corresponding to each lecture, practice sessions will be offered, in which exercise sheets and solutions will be available. In this way, students can deepen their understanding of the methods and concepts taught in the lectures and independently check their progress. At the beginning of the module, the practice sessions will be offered under guidance, but during the term the sessions will become more independent, and intensify learning individually as well as in small groups.


lectures notes


K. Königsberger, Analysis 1+2. Springer 2003.
K. Jänich, Mathematik 1+2, Springer 2002.

Module Exam

Description of exams and course work

The module examination is based on a written exam (90 minutes). Students have to apply basic term and methods of multidimensional analysis to concrete and abstract problems and to physical processes in limited time. They are able to deal with differential equations.

General Remarks on Exams within Fundamentals Examination (GOP, Part 2) in the Bachelor programme Physics

The written exams in the mandatory modules of the first year in the Bachelor’s program Physics are subject to the rules of the Fundamentals Examination (GOP). Each non-passed exam may only be repeated once. If after the repeat exams of one semester the student failed in one and only one of the three exams a rescue exam is granted where the grade may be corrected to 4,0.

By act of the examination regulations (FPSO) students in the Bachelor’s program Physics are registered to the module exams. To support exam organisation registrtion via TUMonline is conduction anyway. For students that do not show up at the exam the exam is counted as failed.

Exam Repetition

The exam may be repeated at the end of the semester.

Current exam dates

Currently TUMonline lists the following exam dates. In addition to the general information above please refer to the current information given during the course.

Prüfung zu Mathematik für Physiker 3 (Analysis 2)
Mo, 5.8.2019, 13:30 bis 15:00 Interims I: 101
MW: 2001
MI: 00.02.001
bis 30.6.2019 (Abmeldung bis 29.7.2019)
Fr, 11.10.2019, 10:30 bis 12:00 Interims II: 003
Interims II: 004
bis 30.6.2019 (Abmeldung bis 4.10.2019)
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