Mathematics for Physicists 4 (Analysis 3)

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

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)

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.

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.