Digital Teaching
The lectures are held online as Zoom-Meetings. Exercise sessions will be part in presence and part online (Zoom). For more info please look at the Moodle page of the course. Material (e.g. recording of lectures, lecture notes, etc) will be made available on the Moodle page of the course.  

ATTENTION: since we don't know yet how many exercise groups will have the possibility of meeting in presence, the registration for the course will start on 20.09.2021.

[b]UPDATE (20.09.2021): Exercise groups 1 and 2 are (only) in presence, and they are reserved for math students. For each one of the two groups only 20 places are available. All other exercise groups are (only) online. [/b]

Lehrinhalte
Cauchy-Riemann differential equations, curve integrals, Cauchy’s Integral Theorem and Formula; analyticity, Liouville’s Theorem and Fundamental Theorem of Algebra; Winding Number; Laurent series and isolated singularities, Residue Theorem.

Literature
Bornemann: Funktionentheorie 
Denk, Racke: Kompendium der Analysis 
Fischer, Lieb: Einführung in die komplexe Analysis 
Ahlfors: Complex Analysis 
Janich: Funktionentheorie I 
Needam: Visual complex analysis 
Forst-Hoffman: Funktionentheorie erkunden mit Maple 
Krantz: Complex variables - a physical approach with applications and matlab 
Remmert-Schumacher: Funktionentheorie I

Voraussetzungen
recommended: Analysis and Linear Algebra

Online-Angebote
moodle

Semester: Inverno 2021/22