MA2MP_PDIM Discrete Mathematics

Faculty of Education
Autumn 2017
Extent and Intensity
2/0/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
Mgr. Helena Durnová, Ph.D. (lecturer)
RNDr. Břetislav Fajmon, Ph.D. (lecturer)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Timetable
Wed 12:05–13:45 učebna 6
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
This course aims to introduce students to selected parts of discrete mathematics.
Learning outcomes
Student bude po absolvování předmětu znát a bude schopen aktivně v praxi využívat základní teoretické poznatky diskrétní matematiky: 1. Počet rozkladů množiny. Bellova a Stirlingova čísla. 2. Rozklady a kompozice přirozených čísel. 3. Rozdělování do přihrádek. 4. Bloková schémata. 5. Magické čtverce. 6. Latinské čtverce. 7. Konečné roviny.
Syllabus
  • 1. Number of set partitions. Bell and Stirling numbers. 2. Partitions and compositions of natural numbers. 3. Pidgeonholes combinatorics. 4. Block schemes. 5. Magic squares. 6. Latin squares. 7. Finite planes..
Literature
    recommended literature
  • FUCHS, Eduard. Diskrétní matematika pro učitele. 1st ed. Brno: Masarykova univerzita, 2001, 178 pp. ISBN 80-210-2703-7. info
  • FUCHS, Eduard. Diskrétní matematika pro učitele ; Teorie množin pro učitele. Edited by Petr Kovář. Brno: Masarykova univerzita, 2000, 1 CD-ROM. ISBN 8021024631. info
Teaching methods
Theoretical lectures.
Assessment methods
Credit on the basis of a written test. Minimum for passing the written test is 60 per cent.
Language of instruction
Czech
Further Comments
The course can also be completed outside the examination period.
The course is taught annually.
The course is also listed under the following terms Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2018, Autumn 2019.
  • Enrolment Statistics (Autumn 2017, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2017/MA2MP_PDIM