104.396 Complex Analysis
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2020S, VO, 3.0h, 4.5EC
This course is evaluated following the new mode. Learn more

Course evaluation


  • Semester hours: 3.0
  • Credits: 4.5
  • Type: VO Lecture

Learning outcomes

After successful completion of the course, students are able to explain and apply the basic concepts of complex analysis. In particular, they are able

  • to describe the notion of holomorphy in different ways,
  • to define what conformal and biholomorphic maps are,
  • to explain the notion of homotopy,
  • to state and apply different versions of the Cauchy theorem,
  • to exlain the notion of analytic continuation, the monodromy theorem and the concept of a Riemann surface,
  • to explain and prove the Riemann mapping theorem.

Subject of course

Complex differentiation, Cauchy's theorem, isolated singularities, calculus of residues with applications, conformal mappings, Riemannian mapping theorem.

Teaching methods

Mathematical definitions and proofs

Mode of examination

Written and oral

Additional information

Currently, two videos are posted every week. To access the vidoes, register in TISS and then go to the TUWEL-course.



Course dates

Mon16:00 - 18:0002.03.2020 - 09.03.2020HS 7 Schütte-Lihotzky VO Komplexe Analysis
Wed16:00 - 18:0004.03.2020 - 11.03.2020HS 7 Schütte-Lihotzky VO Komplexe Analysis
Complex Analysis - Single appointments
Mon02.03.202016:00 - 18:00HS 7 Schütte-Lihotzky VO Komplexe Analysis
Wed04.03.202016:00 - 18:00HS 7 Schütte-Lihotzky VO Komplexe Analysis
Mon09.03.202016:00 - 18:00HS 7 Schütte-Lihotzky VO Komplexe Analysis
Wed11.03.202016:00 - 18:00HS 7 Schütte-Lihotzky VO Komplexe Analysis

Examination modalities

Written exam with problems similar to the problems in the recitation class and questions on definitions, theorems and proofs. Oral exam with questions on definitions, theorems and proofs.


DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Tue10:00 - 12:0007.07.2020 Zoomwritten&oral27.05.2020 12:00 - 06.07.2020 08:00TISSOnlineprüfung
Wed10:00 - 12:0008.07.2020 Zoomwritten&oral28.05.2020 12:00 - 07.07.2020 08:00TISSOnlineprüfung
Thu10:00 - 12:0009.07.2020 Zoomwritten&oral27.05.2020 12:00 - 08.07.2020 08:00TISSOnlineprüfung
Tue10:00 - 12:0014.07.2020 Zoomwritten&oral28.05.2020 12:00 - 13.07.2020 08:00TISSOnlineprüfung
Thu10:00 - 12:0016.07.2020 Zoomwritten&oral09.06.2020 12:00 - 15.07.2020 08:00TISSOnlineprüfung
Tue10:00 - 12:0021.07.2020 Zoomwritten&oral29.06.2020 10:00 - 20.07.2020 08:00TISSOnlineprüfung
Tue10:00 - 12:0028.07.2020 Zoomwritten&oral29.06.2020 10:00 - 27.07.2020 08:00TISSOnlineprüfung

Course registration

Begin End Deregistration end
14.03.2020 08:00 29.06.2020 08:00 29.06.2020 08:00



No lecture notes are available.

Previous knowledge

Basic knowlegde of analysis

Accompanying courses