Complex Analysis
Module MA2006
This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.
Module version of SS 2012
There are historic module descriptions of this module. A module description is valid until replaced by a newer one.
Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.
| available module versions | ||||
|---|---|---|---|---|
| WS 2021/2 | SS 2020 | SS 2019 | SS 2012 | WS 2011/2 |
Basic Information
MA2006 is a semester module in German language at Bachelor’s level which is offered in summer semester.
This Module is included in the following catalogues within the study programs in physics.
- Further Modules from Other Disciplines
| Total workload | Contact hours | Credits (ECTS) |
|---|---|---|
| 150 h | 45 h | 5 CP |
Content, Learning Outcome and Preconditions
Content
Introduction to complex analysis: holomorphic functions (complex derivatives, Cauchy-Riemann equations, power series), complex line integrals, Cauchy integral theorem and implications, singularities and residues, conformal maps
Learning Outcome
After successfully attending this course, students are familiar with the basic concepts and results of complex analysis. They also know to apply the calculus of residues.
Preconditions
MA1001 Analysis 1, MA1002 Analysis 2
Bachelor 2019: MA0001 Analysis 1, MA0002 Analysis 2
Bachelor 2019: MA0001 Analysis 1, MA0002 Analysis 2
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
SS 2022
SS 2021
SS 2020
SS 2019
SS 2018
SS 2017
SS 2016
SS 2015
SS 2014
SS 2013
SS 2012
SS 2011
SS 2010
| Type | SWS | Title | Lecturer(s) | Dates | Links |
|---|---|---|---|---|---|
| VO | 2 | Complex Analysis [MA2006], [MA2008] | Brokate, M. Kreiner, C. |
Tue, 16:00–17:30, MI HS1 |
|
| UE | 1 | Complex Analysis (problem sessions) [MA2006], [MA2008] | Brokate, M. Kreiner, C. | dates in groups |
eLearning documents |
Learning and Teaching Methods
lecture, exercise module, assignments
Media
blackboard
Literature
K.Jänich, Funktionentheorie, Springer 2008 (6. Auflage) (propaedeutic).
R.Remmert, G. Schumacher, Funktionentheorie 1/2, Springer 2002/2007 (5./3. Auflage) (further reading).
R. E. Greene, S. G. Krantz, Function theory of one-complex variable, AMS 2006 (3rd edition)
R.Remmert, G. Schumacher, Funktionentheorie 1/2, Springer 2002/2007 (5./3. Auflage) (further reading).
R. E. Greene, S. G. Krantz, Function theory of one-complex variable, AMS 2006 (3rd edition)