100312 Introductory Complex Analysis

Course offering details

Instructors: Prof. Dr. Dierk Schleicher

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, normal families and Montel’s theorem,
and the 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 Mon, 1. Sep. 2014 11:15 12:30 West Hall 4 Prof. Dr. Dierk Schleicher
2 Wed, 3. Sep. 2014 14:15 15:30 West Hall 4 Prof. Dr. Dierk Schleicher
3 Mon, 8. Sep. 2014 11:15 12:30 West Hall 4 Prof. Dr. Dierk Schleicher
4 Wed, 10. Sep. 2014 14:15 15:30 West Hall 4 Prof. Dr. Dierk Schleicher
5 Mon, 15. Sep. 2014 11:15 12:30 West Hall 4 Prof. Dr. Dierk Schleicher
6 Wed, 17. Sep. 2014 14:15 15:30 West Hall 4 Prof. Dr. Dierk Schleicher
7 Mon, 22. Sep. 2014 11:15 12:30 West Hall 4 Prof. Dr. Dierk Schleicher
8 Wed, 24. Sep. 2014 14:15 15:30 West Hall 4 Prof. Dr. Dierk Schleicher
9 Mon, 29. Sep. 2014 11:15 12:30 West Hall 4 Prof. Dr. Dierk Schleicher
10 Wed, 1. Oct. 2014 14:15 15:30 West Hall 4 Prof. Dr. Dierk Schleicher
11 Mon, 6. Oct. 2014 11:15 12:30 West Hall 4 Prof. Dr. Dierk Schleicher
12 Wed, 8. Oct. 2014 14:15 15:30 West Hall 4 Prof. Dr. Dierk Schleicher
13 Mon, 13. Oct. 2014 11:15 12:30 West Hall 4 Prof. Dr. Dierk Schleicher
14 Wed, 15. Oct. 2014 14:15 15:30 West Hall 4 Prof. Dr. Dierk Schleicher
15 Wed, 22. Oct. 2014 12:45 14:15 West Hall 4 Prof. Dr. Dierk Schleicher
16 Wed, 22. Oct. 2014 14:15 15:30 West Hall 4 Prof. Dr. Dierk Schleicher
17 Th, 23. Oct. 2014 13:00 14:15 West Hall 4 Prof. Dr. Dierk Schleicher
18 Mon, 27. Oct. 2014 11:15 12:30 West Hall 4 Prof. Dr. Dierk Schleicher
19 Wed, 29. Oct. 2014 14:15 15:30 West Hall 4 Prof. Dr. Dierk Schleicher
20 Mon, 3. Nov. 2014 11:15 12:30 West Hall 4 Prof. Dr. Dierk Schleicher
21 Wed, 5. Nov. 2014 14:15 15:30 West Hall 4 Prof. Dr. Dierk Schleicher
22 Mon, 10. Nov. 2014 11:15 12:30 West Hall 4 Prof. Dr. Dierk Schleicher
23 Wed, 12. Nov. 2014 14:15 15:30 West Hall 4 Prof. Dr. Dierk Schleicher
24 Mon, 17. Nov. 2014 11:15 12:30 West Hall 4 Prof. Dr. Dierk Schleicher
25 Wed, 19. Nov. 2014 14:15 15:30 West Hall 4 Prof. Dr. Dierk Schleicher
26 Mon, 24. Nov. 2014 11:15 12:30 West Hall 4 Prof. Dr. Dierk Schleicher
27 Wed, 26. Nov. 2014 14:15 15:30 West Hall 4 Prof. Dr. Dierk Schleicher
28 Mon, 1. Dec. 2014 11:15 12:30 West Hall 4 Prof. Dr. Dierk Schleicher
29 Wed, 3. Dec. 2014 14:15 15:30 West Hall 4 Prof. Dr. Dierk Schleicher
30 Th, 11. Dec. 2014 12:30 14:30 East Hall 4 Prof. Dr. Dierk Schleicher
Course specific exams
Description Date Instructors Mandatory
1. Final Grade No Date No
Contained in course catalogues
Course catalogue
Course Catalogue > Engineering and Science > Mathematical Sciences > Undergraduate Level Courses
Class Session Overview
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Instructors
Prof. Dr. Dierk Schleicher