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 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

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


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

There is a possibility to take the exam 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 4 (Analysis 3)
Do, 20.4.2017, 10:30 bis 12:00 MW: 0001
bis 3.4.2017 (Abmeldung bis 13.4.2017)
Mi, 22.2.2017, 10:30 bis 12:00 101
MW: 0001
bis 15.1.2017 (Abmeldung bis 15.2.2017)

Condensed Matter

When atoms interact things can get interesting. Fundamental research on the underlying properties of materials and nanostructures and exploration of the potential they provide for applications.

Nuclei, Particles, Astrophysics

A journey of discovery to understanding our world at the subatomic scale, from the nuclei inside atoms down to the most elementary building blocks of matter. Are you ready for the adventure?


Biological systems, from proteins to living cells and organisms, obey physical principles. Our research groups in biophysics shape one of Germany's largest scientific clusters in this area.