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Engineering Mathematics 3

Module name (EN): Engineering Mathematics 3
Degree programme: Electrical Engineering and Information Technology, Bachelor, ASPO 01.10.2018
Module code: E2301
SAP-Submodule-No.: P211-0097
Hours per semester week / Teaching method: 3V+1U (4 hours per week)
ECTS credits: 5
Semester: 3
Mandatory course: yes
Language of instruction:
Written exam

[updated 08.01.2020]
Applicability / Curricular relevance:
E2301 (P211-0097) Electrical Engineering and Information Technology, Bachelor, ASPO 01.10.2018, semester 3, mandatory course, technical
60 class hours (= 45 clock hours) over a 15-week period.
The total student study time is 150 hours (equivalent to 5 ECTS credits).
There are therefore 105 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
Recommended as prerequisite for:
Module coordinator:
Prof. Dr. Gerald Kroisandt
Dipl.-Math. Kerstin Webel

[updated 14.10.2021]
Learning outcomes:
After successfully completing this course, students will be able to use Taylor series for different qualitative and approximate estimations of different problems in electrical engineering and be able to use Fourier series to describe temporally periodic processes. They will have well-founded knowledge and the corresponding technical skills for examining electrotechnical questions with the help of the Laplace transform. Students will be able to systematically solve systems of coupled differential equations with this method and their knowledge about linear systems of equations and thus analytically study smaller systems. By understanding the eigenvalue problem, students will have basic knowledge about collective variables in mechanical and electrical systems, which also allows a deeper understanding of complex electrotechnical systems.

[updated 08.01.2020]
Module content:
Eigenvalue theory Motivation Characteristic polynomial of a matrix Calculating eigenvalues, eigenvectors and eigenspaces Eigenvalue theory of Hermitian and symmetric matrices Diagonalization, principal axis transformation Infinite series Series of constants Function series Power series Taylor series Fourier series Fourier and Laplace transforms The Fourier transform The Laplace transform Inverse transform methods Comparison of the Fourier and the Laplace transforms Applications

[updated 08.01.2020]
Teaching methods/Media:
OLD VERSION Board, overhead projector, beamer, lecture notes (planned)

[updated 08.01.2020]
Recommended or required reading:

[still undocumented]
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