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.
Exercise for the topics complex differentiation, Cauchy's theorem, isolated singularities, calculus of residues with applications, conformal mappings, Riemannian mapping theorem.
The registration for the exercises is open from March 3, 2020 1:30pm to March 10, 2020, 1:30 pm.
The exercise sessions take place every second week starting on March 11, 2020.
Dates:
1st Session: March 11
2nd Session: March 25
3rd Session: April 22
4th Session: May 6
5th Session: May 20
6th Session: June 3
7th Session: June 17
Each session lasts 90 minutes. The precise dates for each group are:
K1 09:15 - 10:45,
K2 12:15 - 13:45,
K3 14:15 - 15:45.
The exercise group K3 is held in english.
The first date of exercise group K3 will be held by Prof. Ludwig and later taken on by Nico Lombardi.
Die Übung wird als Kreuzerlübung abgehalten. Es wird ein TUWEL-Kurs zu dieser Übung geben, wo Sie Ihre Kreuzerl am Vorabend der Übung eintragen. Die Beispielblätter werden dort ebenfalls hochgeladen.
The first exercise sheet will be available here in TISS.
