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Applied Mathematics

Module name (EN):
Name of module in study programme. It should be precise and clear.
Applied Mathematics
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Mechatronics and Sensor Technology, Bachelor, ASPO 01.10.2005
Module code: MST401
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.
1V+1PA (2 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.
2
Semester: 4
Mandatory course: yes
Language of instruction:
German
Assessment:
Written exam, project work

[updated 02.08.2012]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

MST401 Mechatronics and Sensor Technology, Bachelor, ASPO 01.10.2005 , 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).
30 class hours (= 22.5 clock hours) over a 15-week period.
The total student study time is 60 hours (equivalent to 2 ECTS credits).
There are therefore 37.5 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
MST103 Mathematics I
MST203 Mathematics II
MST302 Mathematics III


[updated 02.08.2012]
Recommended as prerequisite for:
Module coordinator:
Prof. Dr. Barbara Grabowski
Lecturer: Prof. Dr. Barbara Grabowski

[updated 01.10.2005]
Learning outcomes:
The aim of this course of lectures is to use practical examples to teach students about how the methods of higher mathematics – particularly in the fields of numerical mathematics and statistics – can be applied to solve real engineering problems.
After completing this module, students will be in a position to use MATLAB and SIMULINK to solve small engineering problems based on the measurement data sets provided and to create a professional written record of their solution.

[updated 02.08.2012]
Module content:
1.  Introduction to MATLAB
1.1 … Vector and matrix calculus; generating graphics
2.  Interpolation (Newton polynomials, spline functions)
2.1… Mini project
3.  Data fitting (least squares)
3.1… Linear data-fitting functions
3.2… Nonlinear data-fitting functions
3.3… Mini project
4. Simple statistical measures for one, two, and more than two random variables
4.1…Mini project
5. Introduction to numerical differentiation and integration
5.1 …Mini project
6. Introduction to SIMULINK
6.1… Solving initial value problems using SIMULINK
6.2…Mini project

[updated 02.08.2012]
Teaching methods/Media:
Lectures, problem-solving exercises, project work

[updated 02.08.2012]
Recommended or required reading:
1. Preuss/Wenisch, Numerische Mathematik, Fachbuchverlag, 2001
2. Faires/Burden, Numerische Methoden, Spektrum Akademischer Verlag, 2000
3. Gramlich/Werner, Numerische Mathematik mit MATLAB, dpunktverlag, 2000
4. Beucher, MATLAB und SIMULINK lernen, Addison-Wesley, 2000
5. Bartsch H.-J., Taschenbuch Mathematischer Formeln, Fachbuchverlag Leipzig, 2003
Materials
 
1. http://www.htw-saarland.de/fb/gis/people/bgrabowski/vorles/mathe.htm
(only accessible from within the university)
2. http://www.htw-saarland.de/fb/gis/mathematik/
Lecture notes (set 1) and useful formulae (set 1) on descriptive statistics

[updated 02.08.2012]
 
[Sat Apr 20 05:08:33 CEST 2024, CKEY=amathe, BKEY=mst, CID=MST401, LANGUAGE=en, DATE=20.04.2024]