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.
In order to participate in this course, please register for one of the groups from March 1st, 2022 1:30pm to March 15th, 2020, 1:30 pm. The exercise group K3 is held in English.
The exercise sessions take place every second week starting on March 16th, 2022.
Dates:
1st Session: March 16th 2022
2nd Session: March 30th 2022
3rd Session: April 27th 2022
4th Session: May 11th 2022
5th Session: May 25th 2022
6th Session: June 8th 2022
7th Session: June 22nd 2022
Each session takes place from: 9:15 to 10:45 (K1 and K2), 12:15 to 13:45 (K3).
The class will be held as a 'Kreuzerlübung' (you need to make 'Kreuzerl' indicating which problems you could solve; students will be asked to present solutions to problems on the blackboard). To pass the course, 50 % of the 'Kreuzerl' and a total positive blackboard performance are required.There will be a TUWEL course for this exercise, where you will enter your 'Kreuzerl' on the eve of the exercise. The problem sheets will be uploaded there as well.
Note: Currently (as of March 3rd, 2022), this course is scheduled to be held in person. However, due to the COVID pandemic, there may be adjustments/changes in the mode.
