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Warning! The directory is not yet complete and will be amended until the beginning of the term.

260094 VO Analysis for Physicists III (2020W)

5.00 ECTS (4.00 SWS), SPL 26 - Physik

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

Language: German, English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Wednesday 07.10. 11:00 - 12:30 Digital
Thursday 08.10. 09:15 - 10:45 Digital
Wednesday 14.10. 11:00 - 12:30 Digital
Thursday 15.10. 09:15 - 10:45 Digital
Wednesday 21.10. 11:00 - 12:30 Digital
Thursday 22.10. 09:15 - 10:45 Digital
Wednesday 28.10. 11:00 - 12:30 Digital
Thursday 29.10. 09:15 - 10:45 Digital
Wednesday 04.11. 11:00 - 12:30 Digital
Thursday 05.11. 09:15 - 10:45 Digital
Wednesday 11.11. 11:00 - 12:30 Digital
Thursday 12.11. 09:15 - 10:45 Digital
Wednesday 18.11. 11:00 - 12:30 Digital
Thursday 19.11. 09:15 - 10:45 Digital
Wednesday 25.11. 11:00 - 12:30 Digital
Thursday 26.11. 09:15 - 10:45 Digital
Wednesday 02.12. 11:00 - 12:30 Digital
Thursday 03.12. 09:15 - 10:45 Digital
Wednesday 09.12. 11:00 - 12:30 Digital
Thursday 10.12. 09:15 - 10:45 Digital
Wednesday 16.12. 11:00 - 12:30 Digital
Thursday 17.12. 09:15 - 10:45 Digital
Thursday 07.01. 09:15 - 10:45 Digital
Wednesday 13.01. 11:00 - 12:30 Digital
Thursday 14.01. 09:15 - 10:45 Digital
Wednesday 20.01. 11:00 - 12:30 Digital
Thursday 21.01. 09:15 - 10:45 Digital

Information

Aims, contents and method of the course

The goal of the lectures is to acquaint the students with the mathematical concepts that are necessary for a proper understanding of field theories (e.g. electrodynamics) and quantum mechanics. The contents of the lectures are:

- Elementary theory of Hilbert spaces (definition, orthonormal basis, dual space, L^2 spaces, bounded and unbounded linear operators)
- Fourier transform and distributions
- (Linear) partial differential equations (wave equation, Laplace-/Poisson equation, heat equation, Green's functions)
- Complex analysis (Holomorphic functions, Cauchy's integral theorem, residue theorem with applications)

The lectures will take place digitally, via Collaborate. The Collaborate application can be accessed on Moodle.

Assessment and permitted materials

Written module exam, consisting of a multiple choice part and an exercise part.

The students that only need to take the lecture exam only need to take multiple choice part of the exam (duration: 1h30).

Minimum requirements and assessment criteria

Acquiring basic skills in Analysis that are central in physics and related fields.

Examination topics

Material discussed during the lectures and the corresponding exercise classes.

Reading list

Lecture notes `Mathematical Methods I' and `Mathematical Methods II' by Prof. Stefan Fredenhagen.

Association in the course directory

ANA III, P 10

Last modified: We 05.05.2021 14:08