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Numerical Mathematics and Numerical Simulation

Module name (EN): Numerical Mathematics and Numerical Simulation
Degree programme: Automotive Engineering, Bachelor, ASPO 01.10.2019
Module code: FT18
Hours per semester week / Teaching method: 4V (4 hours per week)
ECTS credits: 5
Semester: 4
Mandatory course: yes
Language of instruction:
German
Assessment:
Written exam 120 min.

[updated 30.09.2020]
Curricular relevance:
DFBME-412 Mechanical Engineering, Bachelor, ASPO 01.10.2019, semester 4, mandatory course
EE-K2-540 Energy system technology / Renewable energies, Bachelor, ASPO 01.04.2015, semester 5, optional course, engineering
FT18 Automotive Engineering, Bachelor, ASPO 01.10.2011, semester 4, mandatory course
FT18 Automotive Engineering, Bachelor, ASPO 01.10.2015, semester 4, mandatory course
FT18 Automotive Engineering, Bachelor, ASPO 01.04.2016, semester 4, mandatory course
FT18 Automotive Engineering, Bachelor, ASPO 01.10.2019, semester 4, mandatory course
MAB.4.1.NMS Mechanical and Process Engineering, Bachelor, ASPO 01.10.2013, semester 4, mandatory course
Workload:
60 class hours (= 45 clock hours) over a 15-week period.
The total student study time is 150 hours (equivalent to 5 ECTS credits).
There are therefore 105 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
None.
Recommended as prerequisite for:
FT28 Vehicle Simulation


[updated 12.02.2020]
Module coordinator:
Prof. Dr. Marco Günther
Lecturer:
Prof. Dr. Marco Günther


[updated 10.03.2020]
Learning outcomes:
After successfully completing this course, students will:
- solve fundamental problems using the principles of numerics and standard numerical methods
- use their newly acquired practical knowledge in problem solving to engineer simulations of dynamic systems
- be able to use MATLAB
- develop calculation programs
- program and use MATLAB script files and Simulink model files

[updated 30.09.2020]
Module content:
Linear algebra: Definition of linear systems of equations, Application examples in engineering, Numerical solution methods: direct solvers, iterative solvers
Nonlinear equations: Determining a zero point, Nonlinear systems
Introduction to Matlab using a computer
Interpolation: Newton polynomials, Spline functions
Approximation (linear discrete Gaussian approximation)
Numerical differentiation and integration
Ordinary differential equations: Initial value problems, boundary value problems
Introduction to Simulink on the computer

[updated 30.09.2020]
Teaching methods/Media:
Lecture notes, PowerPoint presentation/handouts, exercises

[updated 30.09.2020]
Recommended or required reading:
- Bartsch H.-J.: Taschenbuch Mathematischer Formeln
- Beucher O.: MATLAB und Simulink
- Faires J.D., Burden R.L.: Numerische Methoden
- Schwarz H.R., Köckler N.: Numerische Mathematik

[updated 30.09.2020]
[Tue Sep 28 18:07:02 CEST 2021, CKEY=mnmuns, BKEY=fz4, CID=FT18, LANGUAGE=en, DATE=28.09.2021]