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Partial Differential Equations and Function Theory

Module name (EN):
Name of module in study programme. It should be precise and clear.
Partial Differential Equations and Function Theory
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Electrical Engineering, Master, ASPO 01.10.2013
Module code: E1920
The exam administration creates a SAP-Submodule-No for every exam type in every module. The SAP-Submodule-No is equal for the same module in different study programs.
Hours per semester week / Teaching method:
The count of hours per week is a combination of lecture (V for German Vorlesung), exercise (U for Übung), practice (P) oder project (PA). For example a course of the form 2V+2U has 2 hours of lecture and 2 hours of exercise per week.
2V+2U (4 hours per week)
ECTS credits:
European Credit Transfer System. Points for successful completion of a course. Each ECTS point represents a workload of 30 hours.
Semester: according to optional course list
Mandatory course: no
Language of instruction:
Written examination

[updated 13.03.2010]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

E1920 (P211-0250) Electrical Engineering and Information Technology, Master, ASPO 01.04.2019 , optional course, technical, course inactive since 31.03.2020
E934 Electrical Engineering, Master, ASPO 01.10.2005 , semester 9, optional course
E1920 (P211-0250) Electrical Engineering, Master, ASPO 01.10.2013 , optional course, technical
Workload of student for successfully completing the course. Each ECTS credit represents 30 working hours. These are the combined effort of face-to-face time, post-processing the subject of the lecture, exercises and preparation for the exam.

The total workload is distributed on the semester (01.04.-30.09. during the summer term, 01.10.-31.03. during the winter term).
60 class hours (= 45 clock hours) over a 15-week period.
The total student study time is 150 hours (equivalent to 5 ECTS credits).
There are therefore 105 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
Recommended as prerequisite for:
Module coordinator:
Prof. Dr. Wolfgang Langguth
Lecturer: Prof. Dr. Wolfgang Langguth

[updated 14.10.2015]
Learning outcomes:
After successfully completing this course, students will be in a position to analyse complex problems in electrical and electronic engineering and to apply the knowledge and skills acquired to rapidly familiarize themselves with new areas and problems in electrical and electronic engineering.

[updated 13.03.2010]
Module content:
1.Partial differential equations
 1.1.Hyperbolic differential equations
 1.2.Parabolic differential equations
 1.3.Elliptical differential equations
2.Introduction to the theory of functions of complex variables
 2.1.Complex functions
 2.4.Series expansion, residue theorem

[updated 13.03.2010]
Teaching methods/Media:
Blackboard, overhead projector, video projector, lecture notes (planned)

[updated 13.03.2010]
Recommended or required reading:
DALLMANN, ELSTER:  Einführung in die höhere Mathematik III, Gustav Fischer, 1991
DIRSCHMID:  Mathematische Grundlagen der Elektrotechnik, Vieweg, 1990
Burg, Haf, Wille:  Höhere Mathematik für Ingenieure, Teubner
BRONSTEIN, SEMENDJAJEW, MUSIOL, MÜHLIG:  Taschenbuch der Mathematik, Deutsch 2000
STÖCKER: Taschenbuch der Mathematik, Harri Deutsch Verlag, Frankfurt

[updated 13.03.2010]
[Wed Jun 19 15:21:30 CEST 2024, CKEY=epduf, BKEY=em2, CID=E1920, LANGUAGE=en, DATE=19.06.2024]