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Mathematics I

Module name (EN):
Name of module in study programme. It should be precise and clear.
Mathematics I
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Electrical Engineering, Bachelor, ASPO 01.10.2005
Module code: E101
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.
4V+2U (6 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.
8
Semester: 1
Mandatory course: yes
Language of instruction:
German
Assessment:
Written examination

[updated 10.03.2010]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

E101. Biomedical Engineering, Bachelor, ASPO 01.10.2011 , semester 1, mandatory course, course inactive since 28.11.2013
E101 Electrical Engineering, Bachelor, ASPO 01.10.2005 , semester 1, 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).
90 class hours (= 67.5 clock hours) over a 15-week period.
The total student study time is 240 hours (equivalent to 8 ECTS credits).
There are therefore 172.5 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
None.
Recommended knowledge:
Mathematics foundation course

[updated 10.03.2010]
Recommended as prerequisite for:
E201 Mathematics II
E404 Electric Power Supply Systems I
E405 Electrical Machines I
E410 Signal and Systems Theory
E412 Fundamentals of Transmission Technology
E506 Building Services Engineering I
E513 High-Voltage Engineering I
E515 Communications Engineering
E518 High-Frequency Engineering


[updated 13.03.2010]
Module coordinator:
Prof. Dr. Wolfgang Langguth
Lecturer:
Prof. Dr. Barbara Grabowski
Prof. Dr. Wolfgang Langguth
Prof. Dr. Harald Wern


[updated 10.03.2010]
Learning outcomes:
After successfully completing this course students will have an elementary understanding of vector calculus and of strategies for solving systems of linear equations and will have acquired a basic appreciation of analysis. Equipped with these mathematical skills, students will be able solve elementary problems in electrical engineering and will have the requisite background to tackle more advanced mathematical topics.

[updated 10.03.2010]
Module content:
1. Vector calculus
 1.1 Basic terminology of vector calculus
 1.2 Vectors in an orthogonal coordinate system
 1.3 The scalar product
 1.4 The vector product
 
2. Systems of linear equations
 2.1 Matrices
 2.2 Determinants
 2.3 Systems of linear equations
 
3. Fundamentals of analysis
 3.1 Functions
 3.2 Special functions
 3.3 Complex numbers and functions
 3.4 Loci

[updated 10.03.2010]
Teaching methods/Media:
Blackboard, overhead projector, video projector, lecture notes (in preparation)

[updated 10.03.2010]
Recommended or required reading:
PAPULA: Mathematik für Ingenieure und Naturwissenschaftler, Band 1-3, Vieweg, 2000
Burg, Haf, Wille: Höhere Mathematik für Ingenieure, Band 1-3, Teubner, 2003
Brauch, Dreyer, Haacke: Mathematik für Ingenieure, Teubner, 2003
Dürrschnabel: Mathematik für Ingenieure, Teubner, 2004
DALLMANN, ELSTER: Einführung in die höhere Mathematik III, Gustav Fischer, 1991
PAPULA: Mathematische Formelsammlung für Ingenieure und Naturwissenschaftler, Vieweg, 2000
BRONSTEIN, SEMENDJAJEW, MUSIOL, MÜHLIG: Taschenbuch der Mathematik, Deutsch 2000
STÖCKER: Taschenbuch der Mathematik, Harri Deutsch Verlag, Frankfurt

[updated 10.03.2010]
 
[Sun Nov 24 13:47:08 CET 2024, CKEY=emi, BKEY=e, CID=E101, LANGUAGE=en, DATE=24.11.2024]