česky | **in English**

Spring 2019

**Extent and Intensity**- 0/2/0. 2 credit(s) (plus extra credits for completion). Recommended Type of Completion: k (colloquium). Other types of completion: z (credit).
**Teacher(s)**- prof. RNDr. Petr Hliněný, Ph.D. (lecturer)
**Supervisor**- prof. RNDr. Mojmír Křetínský, CSc.

Department of Computer Science - Faculty of Informatics

Supplier department: Department of Computer Science - Faculty of Informatics **Prerequisites**- Basics of undergraduate mathematics (IB000 is enough).
**Course Enrolment Limitations**- The course is offered to students of any study field.
**Course objectives**- The aim of this seminar is to introduce interested students into the beauties of mathematics and of clean mathematical proofs. This will teach students "mathematical thinking" - to understand math definitions, statements, and proofs in their full depth, and to make their own new proofs in all areas of mathematics and theoretical computer science.
**Learning outcomes**- After finishing this seminar, successful students should be able to understand presented mathematical proofs in their full depth, and to make their own new proofs in areas of mathematics and theoretical computer science.
**Syllabus**- Selected nice topics from "Proofs from THE BOOK"; TBA each year.
- Number theory, Combinatorics, Combinatorial geometry, Graph theory.
- Different topics are chosen in subsequent years.

**Literature**- AIGNER, Martin and Günter M. ZIEGLER.
*Proofs from the book*. Berlin: Springer, 1998. viii, 199. ISBN 3540636986. info

*required literature*- AIGNER, Martin and Günter M. ZIEGLER.
**Teaching methods**- This is a seminar; the lectures will consist of informal presentations by the teachers and also by all participating students, and of scientific discussion. Each student is expected to deliver his/her own presentation once during the semester.
**Assessment methods**- Students are evaluated by their active participation in lectures, and according to their own presentation of the assigned topic.
**Language of instruction**- English
**Follow-Up Courses****Further comments (probably available only in Czech)**- The course is taught annually.

The course is taught: every week. **Teacher's information**- http://www.fi.muni.cz/~hlineny/stud-cz.html#seminarDM

- Enrolment Statistics (Spring 2019, recent)
- Permalink: https://is.muni.cz/course/fi/spring2019/IV119

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