**ANALYTIC FUNCTIONS I fall- 2014**

Welcome to the course in Analytic Functions! The course begins on the second of September, 2014. The course is scheduled to run during the first half of the semester with a final exam on the 25 October 2014.

There will be 15 lectures altogether. To each lecture there corresponds a certain amount of text in the textbook. There are also Lecture Notes (pdf-format) and a Video Lecture. These are mainly to help you to get an idea about the main results in the Section, but they do not cover everything in the course.

In addition, there will be 4 WebWork problem sets with 5 problems in each, which can give up to 3 bonus credits on the exam. At least 6 correctly solved problems gives 1 credit point, at least 12 correctly solved problems gives 2 credit points and at least 17 correctly solved problems gives 3 credit points, if you submit your answers before the corresponding dead-lines.

The problems are corrected by our computer system WebWork. If you are not familiar with the use of WebWork, look here.

During the course I will also send letters to the whole group to keep you informed about changes and the general progress of the course. **Please make sure that you are activated on this coursepage.** If you don't receive any mail, please check the news forum below. If there are messages there which you haven't received, something is wrong with your profile settings. You are also invited to discuss all kinds of course issues with your teachers and fellow students in our Discussion forum.

Martin Tamm, Teacher

email: matamm@math.su.se

**Content**

We discuss analytic functions, integration and expansions of analytic functions in power series, residues, conformal maps, harmonic functions, physical applications and some elementarty facts about analytic functions of several variables. This material can be applied to the modeling of processes within different areas of natural sciences, i.e. in physics.

**Lectures**08.30-10.15 (Martin Tamm) in room 32, Building 5, Kräftriket

**Exercises**10.30-11.15 (Jens Forsgård) in room 32, Building 5, Kräftriket.

**Textbook and other sources**

- Saff and Snider:
**Fundamentals of complex analysis**, Prentice-Hall. - Tamm:
**Elementary Properties of Analytic Functions of Several Variables**(pdf). - Lecture notes day4 contains material which is not in the book.
- Earlier examinations with solutions.