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Mathematics for Physicists 4 (Analysis 3)

Module MA9204

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 WS 2011/2

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

Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.

available module versions
SS 2012WS 2011/2

Basic Information

MA9204 is a semester module in German language at Bachelor’s level which is offered in winter semester.

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

  • Mandatory Modules in Bachelor Programme Physics (3rd Semester)
Total workloadContact hoursCredits (ECTS)
240 h 90 h 8 CP

Content, Learning Outcome and Preconditions


Multidimensional integration, including Gauss’ and Stokes’ theorem; basic elements of complex analysis; elementary Hilbert space techniques, Fourier analysis; simple partial differential equations.

Learning Outcome

After successfully attending this course, students are familiar with concepts and results of higher analysis, which are relevant to courses in theoretical physics. They know how to apply these results in simple situations.


MA9201 Mathematics for Physicists 1 (Linear Algebra 1), MA9202 Mathematics for Physicists 2 (Analysis 1), MA9203 Mathematics for Physicists 3 (Analysis 2)

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

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.
H. Kerner, W. von Wahl, Mathematik für Physiker, Springer 2006.
K. Jänich, Analysis für Physiker und Ingenieure, Springer 2001.

Module Exam

Description of exams and course work

The module examination is based on a written exam (90 minutes). Students show their ability to apply advanced methods of analysis to example problems under time pressure. They have to display their mathematical understanding of theoretical physics.

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.

Exam to Mathematics for Physicists 4 (Analysis 3)
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