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Complex Analysis (Summer 2019)


Contents
Analysis of functions of one complex variable: holomorphic
functions, Möbius transformations, power series, Cauchy's integral
theorem, zeros and singularieties, meromorphic functions, Laurent
series, analytic continuation, residues, Riemann mapping theorem,
partial fraction decomposition.
This is a course of the Berlin Mathematical School
held in english or deutsch (depending on the audience).
News
 [31.07.2019]

The topics relevant for examination are everything until (and including) the Riemann mapping theorem.
This excludes elliptic functions.
 [12.06.2019]

Exams are set for August 05 and August 02.
You can register at the office of Kati Gabler, MA873.
 [04.06.2019]

There will be 10 exercise sheets with a total number of 210 points.
 [22.05.2019]

Because of the holiday on May 30 the 6th exericse sheet will be due June 06, one week later,
and contain six exercises with a total of 30 points.
 [02.04.2019]

First lecture on Tuesday, April 08.
First tutorial on Thursday, April 18.
Exercise sheets
 exercise sheet 01, due April 25
 exercise sheet 02, due May 02
 exercise sheet 03, due May 09
 exercise sheet 04, due May 16
 exercise sheet 05, due May 23
 exercise sheet 06, due June 06
 exercise sheet 07, due June 13
 exercise sheet 08, due June 20
 exercise sheet 09, due June 27
 exercise sheet 10, due July 04
Homework policy
 To get a certificate for the tutorial, you need to
satisfactorily complete 50% of the homework assignments.
 The exercises are to be solved in groups of two people.
 Your handins have to be STAPLED TOGETHER and contain names and matriculation numbers of all members of the group.
We strongly reccommend you to hand in the homework in readable writing, since unreadable writing will not be corrected.
 The homeworks are due weekly on Thursday before(!) the start of the lecture.
Literature
 Alexander Bobenko, lecture
notes
 Dirk Ferus, lecture
notes
 Jänich, Funktionentheorie. Eine Einführung.
 Ahlfors, Complex Analysis.
 Lang, Complex Analysis.
 Needham, Visual Complex Analysis (also
translated as: Anschauliche Funktionentheorie.)
Office hours
