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Mathematical Modeling and Numerical Simulation of Industrial Problems - Circuit Simulation

Module MA5318

This Module is offered by TUM Department of Mathematics.

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Basic Information

MA5318 is a semester module in German or English language at Master’s level which is offered irregular.

This module description is valid from SS 2011 to WS 2013/4.

Total workloadContact hoursCredits (ECTS)
90 h 30 h 3 CP

Content, Learning Outcome and Preconditions


- industrial design of electronic circuits
- modeling of electrical networks and network elements
- differential-algebraic equations (DAEs): theory, numerical integration
- sparse matrix techniques
- algorithms for parallel and distributed computing
- further challenges (e.g., latency and bypass strategies, noise)

Learning Outcome

At the end of the module, students are able ...
- to understand the necessary interaction between engineers and mathematicians in industrial problem modeling, the role and importance of mathematical problem analysis and its theoretical treatment, the preparation and transformation of mathematical results into an engineer's solution
- to apply different mathematical viewpoints for problem analysis
- to analyze the impact of different mathematical approaches for industrial problems.


MA1101 Linear Algebra 1, MA1102 Linear Algebra 2;
MA3301 Numerics of Differential Equations;
Physics / Electrical Engineering (high school level)

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

Please keep in mind that course announcements are regularly only completed in the semester before.

Learning and Teaching Methods



Blackboard, handouts


Chua, Lin: Computer-Aided Analysis of Electronic Circuits, Prentice Hall, 1984.
Günther, Feldmann, ter Maten: Modelling and discretization of circuit problems. In: Handbook of numerical analysis, Vol. XIII (Ed. Ciarlet), Elsevier, 2005.
Further references will be addressed during lecture.

Module Exam

Description of exams and course work

Oral exam (alternatively written exam, depending on course size)

Exam Repetition

The exam may be repeated at the end of the semester.

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