PdF:MA0027 Discrete Mathematics - Seminar - Course Information

MA0027 Discrete Mathematics - Seminar

Extent and Intensity

0/2/.7. 2 credit(s). Type of Completion: k (colloquium).
In-person direct teaching

Teacher(s)

Mgr. Helena Durnová, Ph.D. (seminar tutor)
RNDr. Břetislav Fajmon, Ph.D. (seminar tutor)

Guaranteed by

Mgr. Helena Durnová, Ph.D.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education

Prerequisites

MA0010 Introduction to Didactics of Mathematics
There are no special prerequisites, however, the subject is part of the curricula at the moment in the study in which the students have completed mathematical courses in algebra, graph theory and discrete mathematics.

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

• Mathematics (programme PdF, N-SS)
• Lower Secondary School Teacher Training in Mathematics (programme PdF, M-ZS5)
• Lower Secondary School Teacher Training in Mathematics (programme PdF, N-MA2) (4)
• Lower Secondary School Teacher Training in Mathematics (programme PdF, N-TV)
• Lower Secondary School Teacher Training in Mathematics (programme PdF, N-ZS)
• Lower and Upper Secondary School Teacher Training in Physical Education (programme FSpS, N-MA)

Course objectives

This course aims to introduce students to selected parts of discrete mathematics.

Learning outcomes

THe students will be able to a) use the concepts, b) solve problems and carry out algorithms in more adveanced parts of discrete mathematics.

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 (probably available only in Czech)

Study Materials
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
Information on the extent and intensity of the course: 8 hodin (kombinovaná forma).

• Enrolment Statistics (Spring 2025, recent)
  
• Permalink: https://is.muni.cz/course/ped/spring2025/MA0027