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Discrete Mathematics

Course aims

The goals of this subject are to introduce basic terms and methods of discrete mathematics and graph theory and to teach students to use them to formulate real life problems using mathematical terminology and to solve these related practical problems.

The students should learn to
- comprehend and generalize given definitions,
- distinguish which theoretical approach is suitable for a particular practical problem,
- classify given objects based on given properties and summarize the results,
- summarize each chapter.

In class students should practice to
- state a real life problem in the terms of Discrete mathematics or Graph theory
- apply theoretical approaches in solving real life problem, choose proper methods,
- choose and compare various methods of solution and pick the most suitable,
- verify the validity of each partical method,
- reuse the same theoretical approach in similar problems.

Literature

J.Matoušek, J.Nešetřil. Invitation to Discrete Mathematics, Oxford University Press, ISBN 0-19-850208-7.

Advised literature

K.H.Rosen, Discrete Mathematics and Its Applications - 6th ed., McGraw-Hill, New York NY, (2007), ISBN-10 0-07-288008-2.


Language of instruction Czech, English
Code 470-2301
Abbreviation DIM
Course title Discrete Mathematics
Coordinating department Department of Applied Mathematics
Course coordinator doc. Mgr. Petr Kovář, Ph.D.