Prof. Dr. Robert Denk

  • Time and place: Wednesday,  10.00-11.30 a.m., A 704
  • Exercise Homepage (Tim Seger, Johannes Schnur)
  • 2+1 SWS, 5 Credits
  • Matlab program (examples of complex functions): matlab01.m

Contents
Literature
Lecture notes
Related modules
Exam

Contents:

Topic of this lecture are holomorphic functions of one complex variable. The lectures cover, e.g., Cauchy's integral theorem and power series expansion, examples of holomorphic functions, entire functions and Laurent series, and residue theorem and residue calculus.

 

Literature:

  • Forst, W., Hoffmann, D.: Funktionentheorie erkunden mit Maple. Springer Berlin 2002.
  • Fischer, W., Lieb, I.: Funktionentheorie. Vieweg, Wiesbaden 1994.
  • Freitag, E., Busam, R.: Funktionentheorie. Springer Berlin 1995.
  • Jänich, K.: Funktionentheorie. Springer Berlin 1995.
  • Remmert, R.: Funktionentheorie I. Springer Berlin 1995.

 

Lecture notes:

  • The lecture notes (in German) will be updated regularly. The latest version can be found  here.

 

Related modules:

  • Bachelor Mathematik Ergänzungsmodul (6510)
  • Bachelor Physik Mathematik Modul A (5250), dabei Analysis 3 (5400)
  • Lehramt GymPO 2009, Hauptfach/Erweiterungsfach im Hauptfachumfang Mathematik: Ergänzungsmodul Funktionentheorie (2400), dabei Funktionentheorie (2410)
  • Lehramt  WPO 2001 Mathematik: Hauptstudium Vorlesungen
  • Diplom MFÖ: Hauptstudium Vorlesungen
  • Diplom Mathematik: Grundstudium Vorlesungen (Teil der Analysis 3/4)

 

Exam:

For a successfull participation in this module, the students have to participate successfully in the exercises (50% of exercises correct and active participation) and have to pass the written exam. The written exam will take place on Friday, July 27th, 8.30-10.30 a.m. in A 701 und A 703.