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Numerical Methods II

Module name (EN):
Name of module in study programme. It should be precise and clear.
Numerical Methods II
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Electrical Engineering, Master, ASPO 01.10.2005
Module code: E935
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: 9
Mandatory course: no
Language of instruction:
German
Assessment:
Written examination

[updated 13.03.2010]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

E1921 (P241-0324) Electrical Engineering and Information Technology, Master, ASPO 01.04.2019 , optional course, technical, course inactive since 31.03.2020
E935 Electrical Engineering, Master, ASPO 01.10.2005 , semester 9, optional course
E1921 (P241-0324) Electrical Engineering, Master, ASPO 01.10.2013 , optional course, technical
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):
None.
Recommended as prerequisite for:
Module coordinator:
Prof. Dr. Wolfgang Langguth
Lecturer:
Prof. Dr. Barbara Grabowski
Prof. Dr. Wolfgang Langguth
Prof. Dr. Harald Wern


[updated 13.03.2010]
Learning outcomes:
Numerical methods play a major role in engineering degree courses and in the field of electrical and electronic engineering in particular, where they are used in the analysis of signals and measurement data. This module builds on the basic numerical methods course (E806: Higher Mathematics II – Numerical Methods and Statistics) and aims to teach students more advanced numerical methods. By undertaking small-scale projects students will learn how to use numerical methods to plan and solve problems.
After completing this module, students will be able to solve the sort of complex numerical problems that arise in communications engineering and automation engineering either working individually or in collaboration with mathematicians.  

[updated 13.03.2010]
Module content:
Orthogonal polynomials
1.Numerical integration
2.Integral equations
3.Non-linear equations
4.Least-squares methods, Fourier series and the Fourier transform
5.Eigenvalue problems


[updated 13.03.2010]
Teaching methods/Media:
Blackboard, overhead projector, video projector, lecture notes (planned)

[updated 13.03.2010]
Recommended or required reading:
SCHWARZ:  Numerische Mathematik, Teubner, 1993
Scheid:  Numerische Analysis, Schaum, 1991
PRESS et al.:  Numerical Recipes, Cambridge Press, 1987
STOER:  Einführung in die Numerische Mathematik I und II, Springer, 1972
Schwetlick, Kretschmar: Numerische Verfahren für Naturwissenschaftler und Ingenieure, Fachbuchverlag Leipzig, 1991
SCHABACK, WERNER:  Numerische Mathematik, Springer, 1992
KOSE, SCHRÖDER, WIELICZEK:  Numerik sehen und verstehen, Vieweg, 1992
BRONSTEIN, SEMENDJAJEW, MUSIOL, MÜHLIG: Taschenbuch der Mathematik, Deutsch 2000
STÖCKER:  Taschenbuch der Mathematik, Harri Deutsch Verlag, Frankfurt

[updated 13.03.2010]
 
[Sun Dec 22 16:48:06 CET 2024, CKEY=enmi, BKEY=em, CID=E935, LANGUAGE=en, DATE=22.12.2024]