Mathematics 2
PIB-MA2
pi2
3
V
1
U
5
2
yes
German
Written exam
ITI-MAT2
IT Engineering
2
mandatory course
KIB-MAT2
Computer Science and Communication Systems
2
mandatory course
PIB-MA2
Applied Informatics
2
mandatory course
PRI-MAT2
Production Informatics
2
mandatory course
60 class hours (= 45 clock hours) over a 15-week period.The total student study time is 150 hours (equivalent to 5 ECTS credits).There are therefore 105 hours available for class preparation and follow-up work and exam preparation.
PIB-MA3
Mathematics 3
PIB-RMA2
Prof. Dr. Peter Birkner
pb
Prof. Dr. Peter Birkner
pb
_ After successfully completing this module, students will be familiar with the definition of the term _limit_ for sequences and real functions and will
have learned to master the use of limit theorems.
_ They will know the convergence criteria for series and be able to handle them confidently when checking series for convergence.
_ They will be able to explain the importance of series expansion for numerical mathematics and computer science applications.
_ Students will be familiar with the properties of exponential and logarithmic functions and be able to deal with them confidently
in computer science applications.
_ They will know the definition of derivation for functions of a variable as a limit value and
will have learned to master the derivation rules for functions of a variable.
_ Students will be able to develop solutions for the application of differential calculus (setting limits with _L"Hospital"s rule, extreme value tasks, Taylor series
and error estimation).
_ They will be familiar with the definition of definite and indefinite integrals for variable functions, as well as
be able to develop integration solutions using the integration methods _partial integration_ and
_integration by substitution_.
_ Finally, they will have learned to master complex numbers in the usual forms for representation.
Sequences and series
Supremum, infimum, limits, limit theorems
Series, direct comparison test and ratio test
Geometric series, exponential series
Continuity
Function limits
Properties of continuous functions
Inverse functions, logarithms, inverse trigonometric functions
Differential calculus
Concept of derivation, calculation rules
Properties of differentiable functions
Higher derivatives
Monotonicity and convexity
Applications such as Hospital"s rule, extreme value tasks and Taylor series
Integral calculus
Riemann sums, definite integral
Indefinite integral, fundamental theorem of calculus
Integration methods: partial integration, substitution rule
Complex numbers
Lecture at board Every two weeks an exercise sheet will be distributed and then discussed in small groups the following week. In addition, a tutorial will be offered every two weeks for work in small groups. This is voluntary. In the tutorials, students will be able work on exercises themselves (with support from the tutor, if necessary) and ask questions about the lecture material. The tutorial can also be used to fill knowledge gaps.
- P. Hartmann, Mathematik für Informatiker (Vieweg); can be downloaded via OPAC as a PDF.
- M. Brill, Mathematik für Informatiker (Hanser).
SS 2022
SS 2021
SS 2020
SS 2019
SS 2018
Thu Sep 29 00:19:42 CEST 2022, CKEY=km2, BKEY=pi2, CID=[?], LANGUAGE=en, DATE=29.09.2022