Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-81-23-K-4

Differential-Algebraic Equations (2V+1U, 4.5 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
- K Lecture with exercise classes (V/U)
2 V Lecture 3.0 CP 28 h 62 h
1 U Exercise class (in small groups) 1.5 CP 14 h 31 h
(2V+1U) 4.5 CP 42 h 93 h


CP, Effort 4.5 CP = 135 h
Position of the semester 1 Sem. irreg. SuSe
Level [4] Bachelor (Specialization)
Language [EN] English
+ further Lecturers of the department Mathematics
Area of study [MAT-TEMA] Industrial Mathematics
Livecycle-State [NORM] Active


In each summer semester at least one of the courses [MAT-80-17-K-6] or [MAT-81-23-K-4] is offered.

Possible Study achievement

  • Verification of study performance: proof of successful participation in the exercise classes (ungraded)
  • Examination number (Study achievement): 84029 ("Exercise Class Differential-Algebraic Equations")
  • Details of the examination (type, duration, criteria) will be announced at the beginning of the course.


The theory and numerical analysis of differential-algebraic equations is discussed, in particular:
  • application fields (electrical circuits and multibody mechanical systems),
  • relation with singularly perturbed problems,
  • solution theory and index concepts,
  • normal form for linear DAEs,
  • numerical aspects

Competencies / intended learning achievements

The students have studied and understand the basic concepts of the theory and numerical analysis of differential-algebraic equations.


  • P. Kunkel, V. Mehrmann: Differential-Algebraic Equations. Analysis and Numerical Solution,
  • B. Simeon: Computational Flexible Multibody Dynamics,
  • S. Trenn: Solution concepts for linear DAEs: a survey; in: Surveys in Differential-Algebraic Equations I (Eds. A. Ilchmann, T. Reis).


Further literature will be announced in the lecture; Exercise material is provided.


Registration for the exercise classes via the online administration system URM (

Requirements for attendance (informal)



Requirements for attendance (formal)


References to Course [MAT-81-23-K-4]

Module Name Context
[MAT-81-23-M-4] Differential-Algebraic Equations P: Obligatory 2V+1U, 4.5 LP
Course-Pool Name
[MAT-80-2V-KPOOL-4] Elective Courses Modelling and Scientific Computing (2V, B.Sc.)