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

Learning and Teaching Methods

lecture, exercise module, assignments


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 and do not need to register in TUMonline. For students that do not show up at the exam the exam is counted as failed.

Exam Repetition

There is a possibility to take the exam at the end of the semester.

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.