differential equations - Interactive curriculae of TU Ilmenau

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module properties differential equations in degree program Master Technische Kybernetik und Systemtheorie 2014
module number	101044
examination number	2400619
department	Department of Mathematics and Natural Sciences
ID of group	2416 (Analysis and Dynamical Systems)
module leader	Prof. Dr. Timo Reis
term	winter term only
language	Deutsch
credit points	5
on-campus program (h)	34
self-study (h)	116
obligation	elective module
exam	oral examination performance
details of the certificate
link to Moodle course
teacher
signup details for alternative examinations
maximum number of participants
previous knowledge and experience	Grundlagen der Analysis und linearen Algebra
learning outcome	Fach-, Methoden- und Systemkompetenz, Verstehen weiterführender Konzepte gewöhnlicher Differentialgleichungen bzw. differential-algebraischer Gleichungen. Der Student soll in der Lage sein, auf dem vermittelten Gebiet eigenständig zu forschen und zu relevanten Forschungsergebnissen zu kommen.
content	Stabilitäts- und Lyapunovtheorie (nichtlinearer, zeitvarianter) gewöhnlicher Differentialgleichungen oder eine Einführung in die Lösungstheorie (linearer) differential-algebraischer Gleichungen mit Einblicken in die zugehörige Stabilitätstheorie.
media of instruction and technical requirements for education and examination in case of online participation	Tafel
literature / references	H. Amann: Gewöhnliche Differentialgleichungen. Walter de Gruyter, 1995. B. Aulbach: Gewöhnliche Differentialgleichungen. Spektrum, Akad. Verlag, 1997. L. Grüne und O. Junge: Gewöhnliche Differentialgleichungen: eine Einführung aus der Perspektive der dynamischen Systeme. Springer-Verlag, 2009. H.K. Khalil: Nonlinear Systems, third edition, Prentice Hall, 2002. P. Kunkel and V.L. Mehrmann: Differential-algebraic equations: analysis and numerical solution, European Mathematical Society, 2006. H. Logemann and E.P. Ryan: Ordinary Differential Equations - Analysis, Qualitative Theory and Control, Springer-Verlag, 2014. S. Trenn: Solution Concepts for Linear DAEs: A Survey in A. Ilchmann, T. Reis (Eds.), Surveys in Differential-Algebraic Equations I, Springer-Verlag, 2013.
evaluation of teaching