Groups are selected in myStudies. Mo 9-10 oder Di 11-12 für Studiengang Elektrotechnik und Informationstechnologie gemäss Gruppeneinteilung (und umgekehrt - Di 10-12 oder Mo 8-10 - für die Übungen Analysis 2). Di 11-12 für Studierende im Studiengang Elektrotechnik und Informationstechnologie, welche Analysis II aus dem Studiengang Mathematik besuchen. Mi 10-11 für Studiengang Rechnergestützte Wissenschaften
Zusätzlich zu den Übungen wird ein Study Center angeboten, jeweils ab der zweiten Semesterwoche.
Basics of complex analysis in theory and applications, in particular the global properties of analytic functions. Introduction to the integral transforms and description of some applications
Objective
Erwerb von einigen grundlegenden Werkzeuge der komplexen Analysis.
Content
Examples of analytic functions, Cauchy‘s theorem, Taylor and Laurent series, singularities of analytic functions, residues. Fourier series and Fourier integral, Laplace transform.
Literature
J. Brown, R. Churchill: "Complex Analysis and Applications", McGraw-Hill 1995
T. Needham. Visual complex analysis. Clarendon Press, Oxford. 2004.
M. Ablowitz, A. Fokas: "Complex variables: introduction and applications", Cambridge Text in Applied Mathematics, Cambridge University Press 1997
E. Kreyszig: "Advanced Engineering Analysis", Wiley 1999
J. Marsden, M. Hoffman: "Basic complex analysis", W. H. Freeman 1999
P. P. G. Dyke: "An Introduction to Laplace Transforms and Fourier Series", Springer 2004
A. Oppenheim, A. Willsky: "Signals & Systems", Prentice Hall 1997
M. Spiegel: "Laplace Transforms", Schaum's Outlines, Mc Graw Hill
Prerequisites / Notice
Prerequisites: Analysis I and II
Performance assessment
Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
In examination block for
Bachelor's Degree Programme in Computational Science and Engineering 2016; Version 27.03.2018 (First Year Examination Block 2) Bachelor's Degree Programme in Computational Science and Engineering 2018; Version 13.12.2022 (First Year Examination Block 2) Bachelor's Degree Programme in Electrical Engineering and Information Technology 2016; Version 31.10.2017 (First Year Examination Block B) Bachelor's Degree Programme in Electrical Engineering and Information Technology 2017; Version 07.04.2022 (First Year Examination Block B) Bachelor's Programme in Computational Science and Engineering 2012; Version 13.12.2016 (Examination Block)
The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examination
written 120 minutes
Additional information on mode of examination
Die aktive Mitarbeit (Schnellübungen) in den Übungen wird in einen Notenbonus von 0 bis 0.25 umgerechnet und anschliessend ungerundet zur ungerundeten Note aus der Sesssionsprüfung addiert.
Written aids
20 A4-Seiten ( = 10 Blätter) selbst verfasste Notizen. Kein Taschenrechner, keine Bücher.
If the course unit is part of an examination block, the credits are allocated for the successful completion of the whole block. This information can be updated until the beginning of the semester; information on the examination timetable is binding.
Learning materials
No public learning materials available.
Only public learning materials are listed.
Groups
401-0302-10 U
Komplexe Analysis
Registration for groups in myStudies is possible until 04.03.2022.