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Mathematics 3

Module name (EN):
Name of module in study programme. It should be precise and clear.
Mathematics 3
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Production Informatics, Bachelor, ASPO 01.10.2023
Module code: PRI-MAT3
SAP-Submodule-No.:
The exam administration creates a SAP-Submodule-No for every exam type in every module. The SAP-Submodule-No is equal for the same module in different study programs.
P222-0002
Hours per semester week / Teaching method:
The count of hours per week is a combination of lecture (V for German Vorlesung), exercise (U for Übung), practice (P) oder project (PA). For example a course of the form 2V+2U has 2 hours of lecture and 2 hours of exercise per week.
2V+1U (3 hours per week)
ECTS credits:
European Credit Transfer System. Points for successful completion of a course. Each ECTS point represents a workload of 30 hours.
3
Semester: 3
Mandatory course: yes
Language of instruction:
German
Assessment:
Written exam

[updated 26.02.2018]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

KIB-MAT3 (P222-0002) Computer Science and Communication Systems, Bachelor, ASPO 01.10.2021 , semester 3, mandatory course
KIB-MAT3 (P222-0002) Computer Science and Communication Systems, Bachelor, ASPO 01.10.2022 , semester 3, mandatory course
PRI-MAT3 (P222-0002) Production Informatics, Bachelor, ASPO 01.10.2023 , semester 3, mandatory course
Workload:
Workload of student for successfully completing the course. Each ECTS credit represents 30 working hours. These are the combined effort of face-to-face time, post-processing the subject of the lecture, exercises and preparation for the exam.

The total workload is distributed on the semester (01.04.-30.09. during the summer term, 01.10.-31.03. during the winter term).
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):
None.
Recommended as prerequisite for:
Module coordinator:
Prof. Dr. Peter Birkner
Lecturer: Prof. Dr. Peter Birkner

[updated 07.08.2019]
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
  Applications
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:


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[Thu Nov 21 13:50:18 CET 2024, CKEY=km3, BKEY=pri, CID=PRI-MAT3, LANGUAGE=en, DATE=21.11.2024]