Complex Analysis (Summer 2014)

This is a course of the Berlin Mathematical School held in English or deutsch (depending on the audience).

Contents

Analysis of one complex variable: holomorphic functions, Möbius transformations, Cauchy's integral theorem, analytical continuation, residues, partial fraction decomposition, Riemann mapping theorem

News

[20.07.2014]

There will be a tutorial this Thursday, 24.7., from 10-12 in MA 848.

[09.07.2014]

We made an additional 12th homework sheet. There are no points to collect but you can (should) hand it in.

[01.07.2014]

The new (last!) homework sheet is online.

[25.06.2014]

The new homework sheet is online.

[17.06.2014]

The new homework sheet is online.

[11.06.2014]

          There will be 11 homework sheets, so you need to have at least 0.5*11*12 = 66 points to pass the course. For exam dates and exam registration scroll down to Examinations.

[11.06.2014]

          On Homework sheet 8, ex.1. there was a definition missing, see the updated version.

[03.06.2014]

Homework sheet 7 and 8 are online.

There will be no lectures next Monday due to the holiday but there will be tutorials and exercises.

[27.05.2014]

The sixth homework sheet is online.

This Thursday is holiday, so there will be no tutorial. If you want you can come to the Wednesday tutorial. 

[21.05.2014]

The fifth homework sheet is online.

[14.05.2014]

The fourth homework sheet is online.

[08.05.2014]

From next week on, the homework sheets will be online by Wednesday and due the following Wednesday/Thursday.

[06.05.2014]

The third homework sheet is online.

[29.04.2014]

The second homework sheet is online. The Thursday tutorial this week (01.05.) will be on Wednesday, 30.04, 14-16 in MA 544.

[15.04.2014]

The first homework sheet is online.

[09.04.2014]

The first lecture will be on Monday 14.4.
The tutuorials will start on Wednesday 23.4.

Exercise sheets

• 1.Homework, due April 28th
• 2.Homework, due May 5th
• 3.Homework, due May 12th
• 4.Homework, due May 21/22th
• 5.Homework, due May 28th
• 6.Homework, due June 4/5th
• 7.Homework, due June 11/12th
• 8.Homework, due June 18/19th
• 9.Homework, due June 25/26th
• 10.Homework, due July 2/3rd
• 11.Homework, due July 9/10th
• 12.Homework

Tutorial exercises (no homework)

• 1.Tutorial
• 2.Tutorial
• 3.Tutorial
• 4.Tutorial
• 5.Tutorial
• 6.Tutorial
• 7.Tutorial
• 8.Tutorial
• 9.Tutorial
• 10.Tutorial
• 11.Tutorial
• 12.Tutorial

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.
• The homeworks are due weekly at the beginning of the lecture on Monday. Late homeworks are accepted only with medical excuse.

Examinations

There will be oral exams at the end of the semester. Once you know that you have passed the course (meaning you got at least 66 points in the homework) you can make an appointment for the exam in the secretariat in MA 873 (Matthias Kall). He can also tell you if you need to register as well in the examination office (Pruefungsamt).

Exam dates are: 28.7 - 01.08, 29.9., 1.10., 2.10. 

Literature

• Alexander Bobenko's lecture notes
• Dirk Ferus' lecture notes (also contains a list of more good books)
• Ahlfors, Complex Analysis.
• Jänich, Funktionentheorie. Eine Einführung.

There is a book collection ("Semesterapparat") for this course in the Mathematics Library on the first floor.

Office hours