Technische Universität Ilmenau

differential equations - Modultafeln of TU Ilmenau

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module properties module number 101044 - common information
module number101044
departmentDepartment of Mathematics and Natural Sciences
ID of group2416 (Analysis and Dynamical Systems)
module leaderProf. Dr. Achim Ilchmann
languageDeutsch
term Wintersemester
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

Pflichtevaluation:

SS 2011 (Fach)

Freiwillige Evaluation:

Hospitation:

Details reference subject
module namedifferential equations
examination number2400619
credit points4
SWS3
on-campus program (h)33.75
self-study (h)86.25
obligationobligatory module
examoral examination performance
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants
Details in degree program Master Technische Kybernetik und Systemtheorie 2014
module namedifferential equations
examination number2400619
credit points5
on-campus program (h)34
self-study (h)116
obligationelective module
examoral examination performance
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants
Details in degree program Master Mathematik und Wirtschaftsmathematik 2013 (AM), Master Mathematik und Wirtschaftsmathematik 2013 (WM)
module nameDifferential equations
examination number2400571
credit points4
on-campus program (h)34
self-study (h)86
obligationelective module
examnone
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants