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FI:IV119 Seminar on Discrete Methods - Course Information

## IV119 Seminar on Discrete Mathematical Methods

**Faculty of Informatics**

Spring 2021

**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).

Taught partially online. **Teacher(s)**- prof. RNDr. Petr Hliněný, Ph.D. (lecturer)

prof. RNDr. Daniel Kráľ, Ph.D., DSc. (lecturer) **Guaranteed by**- prof. RNDr. Petr Hliněný, Ph.D.

Department of Computer Science - Faculty of Informatics

Supplier department: Department of Computer Science - Faculty of Informatics **Timetable of Seminar Groups**- IV119/A_ut16h: Tue 16:00–17:50 Virtuální místnost,
*D. Kráľ*

IV119/B_st12h: Wed 12:00–13:50 Virtuální místnost,*P. Hliněný* **Prerequisites**- Basics of undergraduate mathematics (IB000 is enough).
**Course Enrolment Limitations**- The course is also offered to the students of the fields other than those the course is directly associated with.
**fields of study / plans the course is directly associated with**- there are 37 fields of study the course is directly associated with, display
**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.
- See https://www.google.com/search?q=proofs+from+the+book+pdf for a quick overview of this book.

**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 mainly by all participating students, and of a scientific discussion. Each student is expected to deliver his/her own presentation at least 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)**- Study Materials

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

- Enrolment Statistics (recent)

- Permalink: https://is.muni.cz/course/fi/spring2021/IV119