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Numerical Mathematics and Simulation

Module name (EN):
Name of module in study programme. It should be precise and clear.
Numerical Mathematics and Simulation
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Mechanical and Process Engineering, Bachelor, ASPO 01.10.2004
Module code: MAB-4.2
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.
2V+1U (3 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.
4
Semester: 4
Mandatory course: yes
Language of instruction:
German
Assessment:
Written examination

[updated 12.09.2004]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

MAB-4.2 Mechanical and Process Engineering, Bachelor, ASPO 01.10.2004 , semester 4, 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).
45 class hours (= 33.75 clock hours) over a 15-week period.
The total student study time is 120 hours (equivalent to 4 ECTS credits).
There are therefore 86.25 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
None.
Recommended as prerequisite for:
Module coordinator:
Prof. Dr.-Ing. Helge Frick
Lecturer: Prof. Dr.-Ing. Helge Frick

[updated 18.06.2004]
Learning outcomes:
The aim of this module is to introduce and apply the standard procedures of numerical mathematics. Students will learn how to choose the most suitable numerical techniques if an analytical method is not available or is too complex for a particular practical application. By learning to use the MATLAB software system, students will also acquire practical skills in simulating dynamic systems to solve engineering problems.

[updated 12.09.2004]
Module content:
Starting from the knowledge of linear and non-linear systems of equations acquired in module 3.1 ‘IT with Lab Exercises’, the course will introduce other classical techniques of numerical mathematics such as interpolation, approximation, numerical differentiation and integration, initial-value problems and the numerical solution of ordinary differential equations. Each subject will be treated theoretically and practically. Practical experience will be gained by the use of the MATLAB system and by programming numerical procedures that can run on a PC.
 
Key topics covered in the course are:
1. Introduction to MATLAB
2. Interpolation (Newton polynomials, spline functions)
3. Approximation (linear discrete Gauss approximation formulae)
4. Numerical differentiation and integration
5. Initial-value problems of ordinary differential equations
6. Introduction to SIMULINK
7. Solving differential equations using SIMULINK

[updated 12.09.2004]
Teaching methods/Media:
Lecture notes

[updated 12.09.2004]
Recommended or required reading:
PREUSS/WENISCH, Numerische Mathematik, Fachbuchverlag, 2001
FAIRES/BURDEN, Numerische Methoden, Spektrum Akademischer Verlag, 2000
BEUCHER, MATLAB und SIMULINK lernen, Addison-Wesley, 2000

[updated 12.09.2004]
 
[Sun Jun  8 06:15:06 CEST 2025, CKEY=mnmus, BKEY=m1, CID=MAB-4.2, LANGUAGE=en, DATE=08.06.2025]