Theo Bühler: Catalogue data in Spring Semester 2016

Name Dr. Theo Bühler
DepartmentMathematics
RelationshipLecturer

NumberTitleECTSHoursLecturers
401-0272-00LMathematical Foundations I: Analysis B3 credits2V + 1UT. Bühler
AbstractOrdinary differential equations as mathematical models to describe processes. Numerical, analytical and geometrical aspects of differential equations. More on multidimensional calculus: vector analysis.
ObjectiveIntroduction to calculus in one and several dimensions. Building simple models and analysing them mathematically.
ContentOrdinary differential equations as mathematical models to describe processes. Numerical, analytical and geometrical aspects of differential equations. More on multidimensional calculus: vector analysis.
Literature- D. W. Jordan, P. Smith: Mathematische Methoden für die Praxis, Spektrum Akademischer Verlag
- M. Akveld/R. Sperb: Analysis I, Analysis II (vdf)
- L. Papula: Mathematik für Ingenieure und Naturwissenschaftler Bde 1,2,3. (Vieweg)
401-0302-10LComplex Analysis4 credits3V + 1UT. Bühler
AbstractBasics 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
ObjectiveErwerb von einigen grundlegenden Werkzeuge der komplexen Analysis.
ContentExamples of analytic functions, Cauchy‘s theorem, Taylor and Laurent series, singularities of analytic functions, residues. Fourier series and Fourier integral, Laplace transform.
LiteratureM. 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. Brown, R. Churchill: "Complex Analysis and Applications", McGraw-Hill 1995

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

Ch. Blatter: "Komplexe Analysis, Fourier- und Laplace-Transformation", Autographie

A. Oppenheim, A. Willsky: "Signals & Systems", Prentice Hall 1997

M. Spiegel: "Laplace Transforms", Schaum's Outlines, Mc Graw Hill
Prerequisites / NoticePrerequisites: Analysis I and II