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Simulation Theory and Application

Module name (EN):
Name of module in study programme. It should be precise and clear.
Simulation Theory and Application
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Automotive Engineering, Master, ASPO 01.04.2023
Module code: FTM-MATH
SAP-Submodule-No.:
The exam administration creates a SAP-Submodule-No for every exam type in every module. The SAP-Submodule-No is equal for the same module in different study programs.
P242-0104
Hours per semester week / Teaching method:
The count of hours per week is a combination of lecture (V for German Vorlesung), exercise (U for Übung), practice (P) oder project (PA). For example a course of the form 2V+2U has 2 hours of lecture and 2 hours of exercise per week.
5V (5 hours per week)
ECTS credits:
European Credit Transfer System. Points for successful completion of a course. Each ECTS point represents a workload of 30 hours.
6
Semester: 2
Mandatory course: yes
Language of instruction:
German
Assessment:
Written exam (90 min.)

[updated 09.11.2022]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

FTM-MATH (P242-0104) Automotive Engineering, Master, ASPO 01.04.2021 , semester 2, mandatory course
FTM-MATH (P242-0104) Automotive Engineering, Master, ASPO 01.04.2023 , semester 2, mandatory course
Workload:
Workload of student for successfully completing the course. Each ECTS credit represents 30 working hours. These are the combined effort of face-to-face time, post-processing the subject of the lecture, exercises and preparation for the exam.

The total workload is distributed on the semester (01.04.-30.09. during the summer term, 01.10.-31.03. during the winter term).
75 class hours (= 56.25 clock hours) over a 15-week period.
The total student study time is 180 hours (equivalent to 6 ECTS credits).
There are therefore 123.75 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
None.
Recommended as prerequisite for:
Module coordinator:
Prof. Dr. Marco Günther
Lecturer: Prof. Dr. Marco Günther

[updated 20.12.2021]
Learning outcomes:
In the context of engineering problems, students will be familiar with the basics of mathematical modeling and numerical methods. They will be familiar with the basic properties of partial differential equations, simple solution methods and know about the possibilities and limitations of numerical methods using the finite difference method. They will understand the procedure and properties of the finite element method through the use of a simulation tool.

[updated 09.11.2022]
Module content:
- Basics of vector analysis
- Basics of partial differential equations
- Second order lineare partial differential equations (PDEs)
  Derivation of classic 2nd order PDEs, solution by separation approach
- Basic concepts of numerics (like stability, convergence, error)
- Finite Differences Method (FDM)
- Applying the FDM to boundary value problems and initial boundary value problems
- Implementation of numerical methods for solving PDEs in an environment such as Octave/Matlab.
- Basics of the Finite Element Method (FEM)
- Comsol Multiphysics as a simulation tool and the numerical calculation of PDEs
- Simple basics and simulations with Simulink


[updated 09.11.2022]
Teaching methods/Media:
The event will be conducted according to the LTC method (LTC=Learn Team Coaching).

[updated 09.11.2022]
Recommended or required reading:
Angermann A., Beuschel M, Rau M., Wohlfarth U.: MATLAB – Simulink – Stateflow
Knabner P., Angermann L.: Numerik partieller Differentialgleichungen
Schwarz: Numerische Mathematik

[updated 09.11.2022]
 
[Thu Nov 21 13:18:00 CET 2024, CKEY=ftdsus, BKEY=ftm2, CID=FTM-MATH, LANGUAGE=en, DATE=21.11.2024]