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Mathematics 3

Module name (EN): Mathematics 3
Degree programme: Computer Science and Communication Systems, Bachelor, ASPO 01.10.2017
Module code: KIB-MAT3
Hours per semester week / Teaching method: 2V+1U (3 hours per week)
ECTS credits: 3
Semester: 3
Mandatory course: yes
Language of instruction:
Written exam

[updated 26.02.2018]
Applicability / Curricular relevance:
KIB-MAT3 Computer Science and Communication Systems, Bachelor, ASPO 01.10.2017, semester 3, mandatory course
45 class hours (= 33.75 clock hours) over a 15-week period.
The total student study time is 90 hours (equivalent to 3 ECTS credits).
There are therefore 56.25 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
Recommended as prerequisite for:
Module coordinator:
Prof. Dr. Peter Birkner
Dipl.-Math. Dimitri Ovrutskiy
Dipl.-Ing. Dirk Ammon
Dipl.-Math. Wolfgang Braun

[updated 24.01.2020]
Learning outcomes:
After successfully completing this course, students will be able to apply the Fourier transform to technical problems such as the analysis of linear filters. They will be able to understand problems related to the functions of several independent variables and to design solutions.
With the help of an introduction to probability calculus, they will be able to process and solve elementary combinatorial and probabilistic questions.

[updated 26.02.2018]
Module content:
Complex numbers (advanced)
Fourier series and Fourier transform
  Definitions, properties, examples
Functions with several independent variables
  n-dimensional space
  Multivariate function
  Differential calculus
Probability calculus
  The concept of "probability"
  Conditional probability and independent events
  Urn experiments
  Random variables and distribution functions
  Expected value and variance
  Discrete distribution, Poisson distribution, normal (or Gaussian) distribution

[updated 26.02.2018]
Recommended or required reading:

[still undocumented]
Module offered in:
WS 2021/22, WS 2020/21, WS 2019/20, WS 2018/19
[Mon Nov 29 10:17:26 CET 2021, CKEY=km3, BKEY=ki2, CID=KIB-MAT3, LANGUAGE=en, DATE=29.11.2021]