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Mathematics III

Module name (EN):
Name of module in study programme. It should be precise and clear.
Mathematics III
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Mechatronics and Sensor Technology, Bachelor, ASPO 01.10.2005
Module code: MST302
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.
3V+1U (4 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: 3
Mandatory course: yes
Language of instruction:
German
Assessment:
Written exam

[updated 25.07.2012]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

MST302 Mechatronics and Sensor Technology, Bachelor, ASPO 01.10.2005 , semester 3, 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).
60 class hours (= 45 clock hours) over a 15-week period.
The total student study time is 120 hours (equivalent to 4 ECTS credits).
There are therefore 75 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
MST103 Mathematics I
MST203 Mathematics II


[updated 25.07.2012]
Recommended as prerequisite for:
MST401 Applied Mathematics
MST403 Fundamentals of Mechatronic Systems
MST510


[updated 02.08.2012]
Module coordinator:
Prof. Dr. Barbara Grabowski
Lecturer: Prof. Dr. Barbara Grabowski

[updated 01.10.2005]
Learning outcomes:
The aim of this module is to teach students the applied mathematical methods used in physics and in engineering disciplines such as control system engineering.

[updated 25.07.2012]
Module content:
1 - Ordinary differential equations
Separable DEs
Linear first-order DEs with constant coefficients
Linear second-order DEs with constant coefficients
Applications in engineering
2 - The Fourier transformation
Fourier series for periodic functions
Fourier integrals for non-periodic functions
Applications
3 - The Laplace transformation
Definition
Computational rules, back transformation methods (convolution, decomposition into partial fractions)
Applications
4 – Multivariate functions
Partial derivatives, the tangential plane
Coordinate transformations
Multiple integrals, integral transformation theorem
5 – Introduction to vector analysis

[updated 25.07.2012]
Teaching methods/Media:
Lectures, problem solving

[updated 25.07.2012]
Recommended or required reading:
1. L. Papula : "Mathematik für Ingenieure", Band 1-3 und Formelsammlungen, Vieweg, 2000
2. Engeln-Müllges, Schäfer, Trippler: "Kompaktkurs Ingenieurmathematik". Fachbuchverlag Leipzig im Carl Hanser Verlag: München/Wien, 1999
3. Brauch/Dreyer/Haacke, Mathematik für Ingenieure, Teubner, 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/

[updated 25.07.2012]
 
[Fri Apr 19 13:38:13 CEST 2024, CKEY=mmathe3, BKEY=mst, CID=MST302, LANGUAGE=en, DATE=19.04.2024]