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Complex Analysis I (Summer 2017)
Analysis of one complex variable: holomorphic functions, line integrals, Cauchy's integral
theorem, singularities, residues, Laurent series, partial fraction decomposition, analytic continuation, Möbius transformations, Riemann mapping theorem, ...
Prerequisites are the contents of the courses Analysis I and II (single- and multivariable calculus) and Linear Algebra. It might be especially helpful to review power series of one variable.
This is an Additional Basic Course of the Berlin Mathematical School
held in English or German (depending on the audience).
Note that Monday, May 01, Thursday, May 25 and Monday, June 05 are public holidays, so there will be neither lectures nor tutorials on these days.
- [2017, Feb 06]
First lecture on Thursday, April 20.
First tutorials in the second week.
To get a certificate for the tutorial, you need to satisfactorily complete 50% of the homework assignments. This is required for taking the final exam ('Modulprüfung').
The exercises are to be solved in groups of two people.
The homework is due weekly at the beginning of the lecture on Thursday. Late homework is only accepted with a medical excuse.
Bobenko's lecture notes (in German)
Dirk Ferus' lecture notes (mostly in German, also contains a list of more good books)
Ahlfors, Complex Analysis. (in English)
Jänich, Funktionentheorie. Eine Einführung. (in German)
Needham, Visual Complex Analysis, also translated as: Anschauliche Funktionentheorie.
... and countless other good books.