|Module name (EN): Mathematics 3|
|Degree programme: Applied Informatics, Bachelor, ASPO 01.10.2017|
|Module code: PIB-MA3|
|Hours per semester week / Teaching method: 3V+1U (4 hours per week)|
|ECTS credits: 5|
|Mandatory course: yes|
|Language of instruction:
|Applicability / Curricular relevance:
PIB-MA3 Applied Informatics, Bachelor, ASPO 01.10.2017, semester 3, 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.
|Recommended prerequisites (modules):
PIB-MA1 Mathematics 1
PIB-MA2 Mathematics 2
|Recommended as prerequisite for:
Prof. Dr. Peter Birkner
Dipl.-Ing. Dirk Ammon
Dipl.-Math. Wolfgang Braun
After successfully completing this module, students will be able to explain the reasons for the inaccuracies that often arise when calculating with computers and know basic methods
for estimating these inaccuracies.
- Students will know basic iteration techniques for solving application problems using computers.
- They will be able to process and solve elementary combinatorial and probabilistic tasks
with the help of an introduction to probability calculus.
- Students will develop the ability to analyze real or planned systems by abstracting practical
discrete mathematics tasks from the field of IT into mathematical structures.
- Students will be able to use elementary methods of number theory in cryptographic applications
Representation of numbers in computers, errors, rounding errors, error propagation
Iterative methods, Banach fixed-point theorem, a priori estimates
The concept of "probability"
Conditional probability and independent events
Random variables and distribution functions
Expected value and variance
Discrete distribution, Poisson distribution, normal (or Gaussian) distribution
Primitive recursive functions and µ recursive functions
Elementary number theory
Principles of cryptography
Principles of the coding theory
Lecture and use of a computer algebra system. Every two weeks an exercise sheet will be distributed and then discussed in small groups the following week.
|Recommended or required reading:
- P. Hartmann, Mathematik für Informatiker (Vieweg); can be downloaded via OPAC as a PDF.
- M. Brill, Mathematik für Informatiker (Hanser).
|Module offered in: |
WS 2021/22, WS 2020/21, WS 2019/20, WS 2018/19
[Thu Dec 2 02:21:08 CET 2021, CKEY=pm3, BKEY=pi2, CID=PIB-MA3, LANGUAGE=en, DATE=02.12.2021]