htw saar Piktogramm QR-encoded URL
Back to Main Page Choose Module Version:
XML-Code

flag


Mathematics 3

Module name (EN):
Name of module in study programme. It should be precise and clear.
Mathematics 3
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Mechatronics and Sensor Technology, Bachelor, ASPO 01.10.2020
Module code: MST2.MA3
SAP-Submodule-No.:
The exam administration creates a SAP-Submodule-No for every exam type in every module. The SAP-Submodule-No is equal for the same module in different study programs.
P231-0003
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 (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.
5
Semester: 3
Mandatory course: yes
Language of instruction:
German
Assessment:
Written exam 120 min.

[updated 02.12.2025]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

MST2.MA3 (P231-0003) Mechatronics and Sensor Technology, Bachelor, ASPO 01.10.2019 , semester 3, mandatory course
MST2.MA3 (P231-0003) Mechatronics and Sensor Technology, Bachelor, ASPO 01.10.2020 , 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 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):
MST2.MA1 Mathematics 1
MST2.MA2 Mathematics 2


[updated 12.04.2021]
Recommended as prerequisite for:
Module coordinator:
Prof. Dr. Gerald Kroisandt
Lecturer: Prof. Dr. Gerald Kroisandt

[updated 01.10.2020]
Learning outcomes:
After successfully completing this module, students will be able to use Taylor series for different qualitative and approximate estimations of problems in electrical engineering and be familiar with the computational techniques needed to use a Fourier series to describe temporally periodic processes. They will have well-founded knowledge and the corresponding technical skills for investigating electrotechnical problems with the help of the Laplace transform. Students will be able to systematically solve systems of coupled differential equations using this method and their knowledge about linear systems of equations and thus, be able to examine smaller systems analytically. By understanding the “eigenvalue” or characteristic value problem, students will have acquired initial knowledge about collective variables in mechanical and electrical systems, which will also allow them to better understand complex electrotechnical systems.

[updated 02.12.2025]
Module content:
The “eigenvalue” or characteristic value problem
Motivation
Characteristic polynomial of a matrix
Calculations with eigenvalues, eigenvectors, eigenspaces
Eigenvalue theory of hermitian and symmetric matrices
Diagonalization, principal axis theorem
  
  
Infinite series
Series with constant terms
Function series
Power series
Taylor series
Fourier series
  
Fourier and Laplace transforms
The Fourier transform
The Laplace transform
Inverse transformation methods
Comparison of the Fouriere and the Laplace transform
Applications

[updated 02.12.2025]
Teaching methods/Media:
Blackboard, video projector, transparencies as lecture notes

[updated 02.12.2025]
Recommended or required reading:
- Papula, Mathematik für Ingenieure und Naturwissenschaftler, Band 2+3
- Meyberg und Vachenauer, Höhere Mathematik, Band 1+2
- Bartch, Taschenbuch mathematischer Formeln

[updated 02.12.2025]
 
[Wed Dec 10 14:47:58 CET 2025, CKEY=m3MST2.MA3, BKEY=mst4, CID=MST2.MA3, LANGUAGE=en, DATE=10.12.2025]