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

Properties

  • 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

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Mon16:00 - 18:0002.03.2020 - 29.06.2020HS 7 Schütte-Lihotzky VO Komplexe Analysis
Wed16:00 - 18:0004.03.2020 - 24.06.2020HS 7 Schütte-Lihotzky VO Komplexe Analysis
Complex Analysis - Single appointments
DayDateTimeLocationDescription
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
Mon16.03.202016:00 - 18:00HS 7 Schütte-Lihotzky VO Komplexe Analysis
Wed18.03.202016:00 - 18:00HS 7 Schütte-Lihotzky VO Komplexe Analysis
Mon23.03.202016:00 - 18:00HS 7 Schütte-Lihotzky VO Komplexe Analysis
Wed25.03.202016:00 - 18:00HS 7 Schütte-Lihotzky VO Komplexe Analysis
Mon30.03.202016:00 - 18:00HS 7 Schütte-Lihotzky VO Komplexe Analysis
Wed01.04.202016:00 - 18:00HS 7 Schütte-Lihotzky VO Komplexe Analysis
Wed22.04.202016:00 - 18:00HS 7 Schütte-Lihotzky VO Komplexe Analysis
Mon27.04.202016:00 - 18:00HS 7 Schütte-Lihotzky VO Komplexe Analysis
Wed29.04.202016:00 - 18:00HS 7 Schütte-Lihotzky VO Komplexe Analysis
Mon04.05.202016:00 - 18:00HS 7 Schütte-Lihotzky VO Komplexe Analysis
Wed06.05.202016:00 - 18:00HS 7 Schütte-Lihotzky VO Komplexe Analysis
Mon11.05.202016:00 - 18:00HS 7 Schütte-Lihotzky VO Komplexe Analysis
Wed13.05.202016:00 - 18:00HS 7 Schütte-Lihotzky VO Komplexe Analysis
Wed20.05.202016:00 - 18:00HS 7 Schütte-Lihotzky VO Komplexe Analysis
Mon25.05.202016:00 - 18:00HS 7 Schütte-Lihotzky VO Komplexe Analysis
Wed27.05.202016:00 - 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.

Course registration

Not necessary

Curricula

Literature

No lecture notes are available.

Previous knowledge

Basic knowlegde of analysis

Accompanying courses

Language

German