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Mathematics 1

Module name (EN): Mathematics 1
Degree programme: Mechatronics and Sensor Technology, Bachelor, ASPO 01.10.2019
Module code: MST2.MA1
SAP-Submodule-No.: P231-0002
Hours per semester week / Teaching method: 5V+2U (7 hours per week)
ECTS credits: 8
Semester: 1
Mandatory course: yes
Language of instruction:
Written exam 120 min.

[updated 05.10.2020]
Applicability / Curricular relevance:
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
105 class hours (= 78.75 clock hours) over a 15-week period.
The total student study time is 240 hours (equivalent to 8 ECTS credits).
There are therefore 161.25 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
Recommended as prerequisite for:
MST2.MA2 Mathematics 2

[updated 21.01.2020]
Module coordinator:
Prof. Dr. Gerald Kroisandt
Lecturer: Prof. Dr. Gerald Kroisandt

[updated 14.12.2018]
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
Mathematical induction, binomial theorem
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]
[Sun Sep 25 00:30:40 CEST 2022, CKEY=m3MST2.MA1, BKEY=mst3, CID=MST2.MA1, LANGUAGE=en, DATE=25.09.2022]