Mathematics 1
MST2.MA1
P231-0002
mst4
5
V
2
U
7
1
yes
German
Written exam 120 min.
MST2.MA1
Mechatronics and Sensor Technology
1
mandatory course
MST2.MA1
Mechatronics and Sensor Technology
1
mandatory course
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.
MST2.MA2
Mathematics 2
MST2.MA3
Prof. Dr. Gerald Kroisandt
gkr
Prof. Dr. Gerald Kroisandt
gkr
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.
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
Blackboard, video projector, transparencies as lecture notes
- Papula, Mathematik für Ingenieure und Naturwissenschaftler, Band 1+2
- Meyberg und Vachenauer, Höhere Mathematik, Band 1+2
- Bartsch, Taschenbuch mathematischer Formeln
Sun Dec 3 02:48:22 CET 2023, CKEY=m3MST2.MA1, BKEY=mst4, CID=[?], LANGUAGE=en, DATE=03.12.2023