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## Partial Differential Equations and Function Theory

 Module name (EN): Partial Differential Equations and Function Theory Degree programme: Electrical Engineering, Master, ASPO 01.10.2005 Module code: E934 Hours per semester week / Teaching method: 2V+2U (4 hours per week) ECTS credits: 5 Semester: 9 Mandatory course: no Language of instruction: German Assessment: Written examination [updated 13.03.2010] Applicability / Curricular relevance: 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: 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): E801 Higher Mathematics I (Vector analysis)E806 Higher Mathematics II (Numerical Methods and Statistics) [updated 13.03.2010] Recommended as prerequisite for: Module coordinator: Prof. Dr. Wolfgang Langguth Lecturer: Prof. Dr. Wolfgang LangguthProf. Dr. Barbara GrabowskiProf. Dr. Harald Wern [updated 13.03.2010] 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 2.2.Differentiation 2.3.Integration 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, 1991DIRSCHMID:  Mathematische Grundlagen der Elektrotechnik, Vieweg, 1990Burg, Haf, Wille:  Höhere Mathematik für Ingenieure, TeubnerBRONSTEIN, SEMENDJAJEW, MUSIOL, MÜHLIG:  Taschenbuch der Mathematik, Deutsch 2000STÖCKER: Taschenbuch der Mathematik, Harri Deutsch Verlag, Frankfurt [updated 13.03.2010]
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