Universität Wien

250064 VO Advanced complex analysis (2021W)

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

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Details

Language: English

Examination dates

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
  • Tuesday 30.11. 16:45 - 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: We 25.01.2023 00:25