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Diskrete Mathematik
Last Updated: 2026-02-05 14:53:09
Objective
Introduction to discrete mathematics.
Content
Basic material: mathematical logic (propositional calculus, predicate calculus), set theory, relations and structures. Algebra: groups, rings, finite fields. Combinatorics: recursions, the principle of induction, techniques of counting (the pigeonhole principle, the principle of inclusion and exclusion), permutations, generating functions, solving recursions with generating functions. Graph theory: definition, isomorphism, connectivity, trees, graph coloring, planar graphs (Theorems of Euler and Kuratowski), incidence and adjacency matrix, digraphs, weighted graphs and networks, shortest paths in graphs and networks, the Minimum Spanning Tree Problem, complexity classes P and NP, the Travelling Salesman Problem.
Resources
Literature
Martin Aigner: Diskrete Mathematik, vieweg studium, 1993
General Information
- Language
- German
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- oral 30 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Diskrete Mathematik |
|
2 h weekly |
| exercise | Diskrete Mathematik |
|
1 h weekly |