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Mathematics 2

Module name (EN):
Name of module in study programme. It should be precise and clear.
Mathematics 2
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.MA2
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.
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.
5V+2U (7 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.
Semester: 2
Mandatory course: yes
Language of instruction:
Written exam 120 min.

[updated 05.10.2020]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

MST2.MA2 (P231-0119) Mechatronics and Sensor Technology, Bachelor, ASPO 01.10.2019 , semester 2, mandatory course
MST2.MA2 (P231-0119) Mechatronics and Sensor Technology, Bachelor, ASPO 01.10.2020 , semester 2, mandatory course
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).
105 class hours (= 78.75 clock hours) over a 15-week period.
The total student study time is 210 hours (equivalent to 7 ECTS credits).
There are therefore 131.25 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
MST2.MA1 Mathematics 1

[updated 12.04.2021]
Recommended as prerequisite for:

[updated 12.04.2021]
Module coordinator:
Prof. Dr. Gerald Kroisandt
Lecturer: Prof. Dr. Gerald Kroisandt

[updated 01.10.2020]
Learning outcomes:
After successfully completing this course, students will be able to calculate complex numbers and complex functions and represent them in the complex plane. They will have advanced knowledge and the corresponding technical skills in differential and integral calculus. Based on their knowledge of the solution structure for second-order differential equations and their ability to determine solutions, students will be able to investigate and calculate the fundamental time behavior of elementary and complex systems in various fields.

[updated 05.10.2020]
Module content:
Complex numbers and functions
Definition and representation
The Gaussian Plane
Forms of representation and conversions
Basic arithmetic operations
Powers and roots of complex numbers
Differential calculus II
The differential of a function
Extrema and inflection points
Functions with several independent variables
n-dimensional space
Multivariate functions
Differential calculus
Finding extrema
Gradient, divergence, rotation
Integral calculus II
Integration techniques
Applications of integral calculus
Improper integrals
Numerical integration
Line integral, definition and examples
Differential equations (DGl)
Basic terms
First order differential equations
- Geometric interpretations
- First order differential equation with separation of variables
- Separation of variables and variation of constants
Second order differential equations
- Second order linear differential equations with constant coefficients
- Properties of linear differential equations
- Second order linear homogeneous differential equations
- Second order linear nonhomogenous differential equations
- Second order linear differential equations with constant coefficients

[updated 05.10.2020]
Teaching methods/Media:
Blackboard, video projector, transparencies as lecture notes

[updated 05.10.2020]
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 05.10.2020]
[Thu Jun 20 10:51:50 CEST 2024, CKEY=m3MST2.MA2, BKEY=mst4, CID=MST2.MA2, LANGUAGE=en, DATE=20.06.2024]