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Mathematics 1

Module name (EN):
Name of module in study programme. It should be precise and clear.
Mathematics 1
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.MA1
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.
P231-0002
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.
7
Semester: 1
Mandatory course: yes
Language of instruction:
German
Assessment:
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.MA1 (P231-0002) Mechatronics and Sensor Technology, Bachelor, ASPO 01.10.2019 , semester 1, mandatory course
MST2.MA1 (P231-0002) Mechatronics and Sensor Technology, Bachelor, ASPO 01.10.2020 , 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).
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):
None.
Recommended as prerequisite for:
MST2.MA2 Mathematics 2
MST2.MA3


[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 have acquired the ability to apply elementary, mathematical computing techniques to individual mathematical problems, as well as to solve example applications.

[updated 05.10.2020]
Module content:
Basics of analysis and algebra
Sets, sets of real numbers
Inequations
Mathematical induction, binomial theorem
Functions
Special functions
Basic terms and general properties
Sequences and limits
Limits and continuity of functions
Polynomial functions
Rational functions
Power functions
Algebraic functions
Trigonometric functions and inverse trigonometric functions
Exponential and logarithmic functions
Hyperbolic and area functions
  
Vector algebra
Basic terms from vector analysis
Vectors in a rectangular coordinate plane
The dot product
The vector product, normal vector
Multiple products of vectors
  
Linear systems of equations
Matrices, addition and multiplication, inverse
Determinants, definition and properties, rank
Linear systems of equations, Gaussian algorithm, solution behavior, Cramer´s rule
  
Differential calculus I
Concept of derivation
Basic rules of differentiation
The derivation of elementary functions
Derivative rules
Calculation of limits with L ´Hospital´s rule
  
Integral calculus I
The indefinite integral
The definite integral
Applications of integral calculus in geometry

[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 1+2
- Meyberg und Vachenauer, Höhere Mathematik, Band 1+2
- Bartsch, Taschenbuch mathematischer Formeln

[updated 05.10.2020]
 
[Tue Dec  3 18:21:34 CET 2024, CKEY=m3MST2.MA1, BKEY=mst4, CID=MST2.MA1, LANGUAGE=en, DATE=03.12.2024]