100312 Introductory Complex Analysis

Course offering details

Instructors: Prof. Dr. Daniel Meyer

Type: Lecture

Org-unit:

Course Name Abbreviation: ComplexAnal

Hours per week: 3

Credits: 7.50

Min. | Max. participants: - | -

Partial Grades:
Final Grade

Official Course Description:
This course introduces the theory of functions of one complex variable. It centers around the notion of complex differentiability and its various equivalent characterizations. Unlike differentiability for real functions, complex differentiability is a very strong property; for example it implies that the function is differentiable infinitely often and that it is represented by its Taylor series in a neighborhood of every point in its domain of definition. This results in a very nice and elegant theory that is used in many areas of mathematics.
Topics include holomorphic functions, Cauchy integral theorem and formula, Liouville's theorem, fundamental theorem of algebra, isolated singularities and Laurent series, analytic continuation and monodromy theorem, residue theorem, Riemann mapping theorem. Possible further topics are elliptic and modular functions, the Riemann zeta function, introduction to Riemann surfaces.

Literature
Primary Text
Required Reading (To view a list click a category.)
Recommended Reading (To view a list click a category.)
Appointments
Date From To Room Instructors
1 Tue, 4. Sep. 2012 09:45 11:00 East Hall 8 Prof. Dr. Daniel Meyer
2 Th, 6. Sep. 2012 08:15 09:30 East Hall 8 Prof. Dr. Daniel Meyer
3 Tue, 11. Sep. 2012 09:45 11:00 East Hall 8 Prof. Dr. Daniel Meyer
4 Th, 13. Sep. 2012 08:15 09:30 East Hall 8 Prof. Dr. Daniel Meyer
5 Tue, 18. Sep. 2012 09:45 11:00 East Hall 8 Prof. Dr. Daniel Meyer
6 Th, 20. Sep. 2012 08:15 09:30 East Hall 8 Prof. Dr. Daniel Meyer
7 Tue, 25. Sep. 2012 09:45 11:00 East Hall 8 Prof. Dr. Daniel Meyer
8 Th, 27. Sep. 2012 08:15 09:30 East Hall 8 Prof. Dr. Daniel Meyer
9 Tue, 2. Oct. 2012 09:45 11:00 East Hall 8 Prof. Dr. Daniel Meyer
10 Th, 4. Oct. 2012 08:15 09:30 East Hall 8 Prof. Dr. Daniel Meyer
11 Tue, 9. Oct. 2012 09:45 11:00 East Hall 8 Prof. Dr. Daniel Meyer
12 Th, 11. Oct. 2012 08:15 09:30 East Hall 8 Prof. Dr. Daniel Meyer
13 Tue, 16. Oct. 2012 09:45 11:00 East Hall 8 Prof. Dr. Daniel Meyer
14 Th, 18. Oct. 2012 08:15 09:30 East Hall 8 Prof. Dr. Daniel Meyer
15 Th, 25. Oct. 2012 08:15 09:30 East Hall 8 Prof. Dr. Daniel Meyer
16 Tue, 30. Oct. 2012 09:45 11:00 East Hall 8 Prof. Dr. Daniel Meyer
17 Th, 1. Nov. 2012 08:15 09:30 East Hall 8 Prof. Dr. Daniel Meyer
18 Tue, 6. Nov. 2012 09:45 11:00 East Hall 8 Prof. Dr. Daniel Meyer
19 Th, 8. Nov. 2012 08:15 09:30 East Hall 8 Prof. Dr. Daniel Meyer
20 Tue, 13. Nov. 2012 09:45 11:00 East Hall 8 Prof. Dr. Daniel Meyer
21 Th, 15. Nov. 2012 08:15 09:30 East Hall 8 Prof. Dr. Daniel Meyer
22 Tue, 20. Nov. 2012 09:45 11:00 East Hall 8 Prof. Dr. Daniel Meyer
23 Th, 22. Nov. 2012 08:15 09:30 East Hall 8 Prof. Dr. Daniel Meyer
24 Tue, 27. Nov. 2012 09:45 11:00 East Hall 8 Prof. Dr. Daniel Meyer
25 Th, 29. Nov. 2012 08:15 09:30 East Hall 8 Prof. Dr. Daniel Meyer
26 Tue, 4. Dec. 2012 09:45 11:00 East Hall 8 Prof. Dr. Daniel Meyer
27 Th, 6. Dec. 2012 08:15 09:30 East Hall 8 Prof. Dr. Daniel Meyer
28 Mon, 10. Dec. 2012 10:00 12:00 Lecture Hall Research III Prof. Dr. Daniel Meyer
Course specific exams
Description Date Instructors Mandatory
1. Final Grade No Date No
Contained in course catalogues
Course catalogue
Course Catalogue > School of Engineering and Science > Mathematical Sciences > Undergraduate Level Courses
Class Session Overview
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Instructors
Prof. Dr. Daniel Meyer