This website is no longer updated.

As of 1.10.2022, the Faculty of Physics has been merged into the TUM School of Natural Sciences with the website For more information read Conversion of Websites.

de | en

Partial Differential Equations 2 - Variational Methods

Module MA5052

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.

Basic Information

MA5052 is a semester module in English language at Master’s level which is offered irregular.

This module description is valid from WS 2015/6 to SS 2018.

Total workloadContact hoursCredits (ECTS)
270 h 90 h 9 CP

Content, Learning Outcome and Preconditions


Elements from the Calculus of Variations, Sobolev Spaces, elliptic and time dependent problems, variational inequalities, linear and nonlinear problems.

Learning Outcome

After successful completion of the module, students are able to apply variational techniques to a variety of linear and nonlinear partial differential equations.


MA1001 Analysis 1, MA1002 Analysis 2, MA2003 Measure and Integration Theory, MA3001 Functional Analysis, MA3005 Partial Differential Equations

Courses, Learning and Teaching Methods and Literature

Learning and Teaching Methods

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 animate 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.




L.C. Evans, Partial Differential Equations, GSM 19 Am. Math. Soc. 1998.

Module Exam

Description of exams and course work

The module examination is based on a written exam (60-90 minutes). Students have to understand fundamental techniques and methods and particularly variational methods. They are able to apply them to a variety of linear and nonlinear partial differential equations.

Exam Repetition

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

Top of page