

Module code: MST2.MA1 

5V+2U (7 hours per week) 
7 
Semester: 1 
Mandatory course: yes 
Language of instruction:
German 
Assessment:
Written exam 120 min.
[updated 05.10.2020]

MST2.MA1 (P2310002) Mechatronics and Sensor Technology, Bachelor, ASPO 01.10.2019
, semester 1, mandatory course
MST2.MA1 (P2310002) Mechatronics and Sensor Technology, Bachelor, ASPO 01.10.2020
, semester 1, mandatory course

105 class hours (= 78.75 clock hours) over a 15week 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 followup 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]
