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Using Mathematical Software

Module name (EN):
Name of module in study programme. It should be precise and clear.
Using Mathematical Software
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Industrial Engineering, Bachelor, ASPO 01.10.2013
Module code: WIBASc-525-625-FÜ12
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+1U (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.
3
Semester: 5
Mandatory course: no
Language of instruction:
German
Assessment:
Written exam

[updated 13.09.2018]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

WIBASc-525-625-FÜ12 Industrial Engineering, Bachelor, ASPO 01.10.2013 , semester 5, optional course
WIB21-WPM-T-110 (P450-0006) Industrial Engineering, Bachelor, ASPO 01.10.2021 , optional 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 90 hours (equivalent to 3 ECTS credits).
There are therefore 67.5 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
WIBASc165 Mathematics I
WIBASc255 Statistics
WIBASc265 Mathematics II
WIBASc455 Business Informatics / Operations Research


[updated 20.01.2020]
Recommended as prerequisite for:
Module coordinator:
Prof. Dr. Frank Kneip
Lecturer:
Michael Ohligschläger


[updated 20.01.2020]
Learning outcomes:
After successfully completing this module students will:
_        be able to model basic mathematical/technical problems and solve them with the help of a CAS (Computer Algebra System).
_        have a basic understanding of the general structure of common CAS such as Maple, Mathematica, etc.
_        have basic knowledge of how CAS libraries can be successfully used as tools.
_        have basic skills that can be used to present their results in an appealing and adequate form.
_        be capable of independently solving technical program problems using the program´s internal help systems.

[updated 13.09.2018]
Module content:
1.        Introduction to principles and operation of computer algebra systems (CAS) (e.g. Mathematica, Mupad, Maple, Derive)
2.        Realization of small projects in the fields of graphics, numerics, differential and integral calculus, linear algebra and stochastics
3.        Principles of mathematical modelling
4.        Case studies on mathematical modelling and its implementation with a CAS (e.g. Mathematica), e.g. on cryptography, curves and surfaces, differential equations, Monte Carlo methods


[updated 13.09.2018]
Teaching methods/Media:
The program packages Maple, Matlab will be used.


[updated 13.09.2018]
Recommended or required reading:
_        Barnes, G./ Fulford, G. R.: Mathematical Modelling with Case Studies; Crc Pr Inc, 2008
_        Basmadjian, D.: Mathematical Modeling of Physical Systems; Oxford University Press, 2003
_        Davis W. / Porta, H. / Uhl, J. J.: Calculus & Mathematica; Addison Wesley, 1994
_        Edwards, D. / Hamson, M.: Guide to Mathematical Modelling; Industrial Pr Inc, 2006
_        Hearn, D. D. / Baker, M. P. / Carithers, W.: Computer Graphics; Prentice Hall, 2010
_        Walz: Maple 7, Rechnen und Programmieren; Oldenbourg Wissenschaftsverlag, 2002
_        Kofler, M. / Bitsch, G. / Komma, M.: Maple: Einführung, Anwendung, Referenz; 5. Auflage, Addison-Wesley, 2002
_        Werner, W.: Mathematik lernen mit Maple 1; 2. Auflage, Dpunkt Verlag, 2001
_        Werner, W.: Mathematik lernen mit Maple 2, dpunkt Verlag, 1998
_        Fiume, E.: Scientific Computing; dpunkt Verlag, 1998


[updated 13.09.2018]
[Thu Jun 13 08:50:52 CEST 2024, CKEY=wams, BKEY=wi2, CID=WIBASc-525-625-FÜ12, LANGUAGE=en, DATE=13.06.2024]