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250064 VO Advanced complex analysis (2021W)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik
ON-SITE

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: English

Lecturers

Classes (iCal) - next class is marked with N

Tuesday 05.10. 16:45 - 17:30 Hörsaal 17 Oskar-Morgenstern-Platz 1 2.Stock
Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 07.10. 16:00 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 12.10. 16:45 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 14.10. 16:00 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 19.10. 16:45 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 21.10. 16:00 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 28.10. 16:00 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 04.11. 16:00 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 09.11. 16:45 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 11.11. 16:00 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 16.11. 16:45 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 18.11. 16:00 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 23.11. 16:45 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 25.11. 16:00 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 02.12. 16:00 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 07.12. 16:45 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 09.12. 16:00 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 14.12. 16:45 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 16.12. 16:00 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 11.01. 16:45 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 13.01. 16:00 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 18.01. 16:45 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 20.01. 16:00 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 25.01. 16:45 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 27.01. 16:00 - 17:30 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The course is a continuation of the bachelor course on complex analysis and will treat advanced topics that are part of the classical material in complex analysis.
Topics include but are not limited to: residue calculus, theorems of Weierstrass, Mittag-Leffler, approximation theorem of Runge, Riemann mapping theorem, entire functions, analytic continuation.

The selection of material will depend on the prior knowledge of students. Some of the necessary background will be recapitulated at the beginning of the course.

Prerequisites: analytic functions and their characterization, line integrals and Cauchy's integral theorem, residue theorem, singularities, Laurent series (see lecture notes of Markus Fulmek).

Assessment and permitted materials

Oral exam on entire course material

Minimum requirements and assessment criteria

Satisfactory answer of questions about course and solution of problems

Examination topics

Entire course material

Reading list

John B. Conway Functions of one complex variable I
L. Ahlfors Complex analysis
B. Simon Basic complex analysis
R. Remmert Complex analysis

Association in the course directory

MANK

Last modified: Mo 04.10.2021 12:29