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Higher Mathematics 1

Module name (EN): Higher Mathematics 1
Degree programme: Computer Science and Communication Systems, Master, ASPO 01.04.2016
Module code: KI735
Hours per semester week / Teaching method: 2V (2 hours per week)
ECTS credits: 3
Semester: 1
Mandatory course: yes
Language of instruction:
Written exam
Curricular relevance:
KI735 Computer Science and Communication Systems, Master, ASPO 01.04.2016, semester 1, mandatory course
30 class hours (= 22.5 clock hours) over a 15-week period.
The total student study time is 90 hours (equivalent to 3 ECTS credits).
There are therefore 67.5 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
Recommended as prerequisite for:
KI835 Higher Mathematics 2

[updated 03.02.2011]
Module coordinator:
Prof. Dr. Barbara Grabowski
Prof. Dr. Barbara Grabowski

[updated 01.04.2003]
Applied Mathematics, Statistics, and eLearning (5306)
Learning outcomes:
Students will become acquainted with the fundamental terminology of graph theory and probability calculus and with the significance of these disciplines to information and communication technology.
After completing this course students will be able to independently solve simple problems concerning network optimization, coding and simulation.

[updated 29.06.2007]
Module content:
1. Introduction to graph theory
1.1. Graphs
1.2. Eulerian and Hamiltonian circuits
1.3. Minimum spanning trees
2. Fundamentals of probability theory
2.1. Fundamentals
2.2. Random variables and their distributions   
2.3. Special probability distributions
2.4. Limiting value theorems
2.5. Multidimensional stochastic variables
2.6. Stochastic processes
3. Mathematical methods used in simulating discrete information systems
3.1. Frequency and probability
3.2. Statistical methods

[updated 29.06.2007]
Recommended or required reading:
GRABOWSKI B., Stochastik für Kommunikationsinformatiker, e-learning book in the ActiveMath series.
BRANDSTÄDT A., Graphen und Algorithmen, B.G.Teubner Stuttgart, 1994

[updated 29.06.2007]
Module offered in:
WS 2016/17, WS 2015/16, WS 2014/15, WS 2013/14, WS 2012/13, ...
[Mon Nov 30 18:44:20 CET 2020, CKEY=hm1, BKEY=kim, CID=KI735, LANGUAGE=en, DATE=30.11.2020]