Mathematics 2
MST2.MA2
mst3
5
V
2
U
8
2
yes
German
Written exam 120 min.
MST2.MA2
Mechatronics and Sensor Technology
2
mandatory course
MST2.MA2
Mechatronics and Sensor Technology
2
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.
MST2.MA1
Mathematics 1
MST2.MA3
Prof. Dr. Gerald Kroisandt
gkr
Prof. Dr. Gerald Kroisandt
gkr
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.
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
Blackboard, video projector, transparencies as lecture notes
- Papula, Mathematik für Ingenieure und Naturwissenschaftler, Band 2+3
- Meyberg und Vachenauer, Höhere Mathematik, Band 1+2
- Bartch, Taschenbuch mathematischer Formeln
Sun May 22 09:21:10 CEST 2022, CKEY=m3MST2.MA2, BKEY=mst3, CID=[?], LANGUAGE=en, DATE=22.05.2022