Lecture on Complex Analysis (SS 2020)

Prof. Dr. Robert Denk

  • Time and place 11.45-13.15 in R 511 (as soon as regular lectures will be possible again).
  • Exercises every two weeks
  • Language: German

Because of the actual restrictions for lectures, this lecture will be provided in an online version. Therefore, it is important for all students to register in ILIAS for this lecture. In ILIAS, you will find details on the organization and the online contents.

Content:

Complex analysis is a classical and beautiful theory on functions of one complex variable, and every mathematician should know about this theory. Holomorphic functions, i.e., functions which are complex differentiable in some domain of the complex plane, have strong properties which are not known from the real situation. For instance, every complex differentiable function is infinitely differentiable. Some main results in this lecture are Cauchy's integral theorem and Cauchy's integral formula, the Theorem of Liouville and the residue theorem.

Prerequisites for this lecture are the first-year lectures. This lecture is classified as Wahlmodul for B.Sc. and M.Sc. Mathematics, as Aufbaumodul for B.Ed./M.Ed. Mathematics and as Pflichtmodul for Lehramt GymPO 2009.

Literature:

A list of references can be found at the end of the lecture notes.

Lecture notes:

There are lecture notes (in German) which will be updated regularly. The lecture notes can be found in ILIAS.

Exams:

Caused by the actual situation, the form of the final exams cannot be determined at the moment.