Universität Wien

250064 VO Advanced complex analysis (2023W)

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

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

I will attend a conference from Oct. 8-13, there will be no lectures and no proseminar. I will try to make up at least one of the lectures later.

Tuesday 03.10. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday 06.10. 09:45 - 11:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 10.10. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 17.10. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday 20.10. 09:45 - 11:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 24.10. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 31.10. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday 03.11. 09:45 - 11:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 07.11. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 14.11. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday 17.11. 09:45 - 11:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 21.11. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 28.11. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday 01.12. 09:45 - 11:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 05.12. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 12.12. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday 15.12. 09:45 - 11:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 09.01. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 16.01. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday 19.01. 09:45 - 11:15 Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 23.01. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Tuesday 30.01. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß

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: general versions of Cauchy's theorem, homology, homotopy, 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 simple versions of 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.
To pass, at least half of the questions need to be answered correctly.
Theoretical list of grades:
88-100 sehr gut
75-87 gut
62-74 befriedigend
50-61 genuegend
<50 nicht genuegend

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
W. Rudin, Real and complex analysis
E. Stein, R. Shakarchi, Princeton Lectures on Analysis, Vol. 2

Association in the course directory

MANK

Last modified: Fr 03.05.2024 15:06