MA2BP_CKOM Combinatorics

Faculty of Education
Autumn 2015
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
Mgr. Helena Durnová, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Timetable of Seminar Groups
MA2BP_CKOM/01: Thu 8:25–10:05 D42 učebna, H. Durnová
MA2BP_CKOM/02: Thu 10:15–11:55 D34 učebna, H. Durnová
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
Abstract
The course focuses on revising, development, and supplementing basic knowledge of combinatorics that students already have from secondary schools. At the end of this course, students should understand fully the basic concepts and rules in combinatorics and they should be able to solve independently also complex tasks in combinatorics.
Key topics
  • 1. Rules of summation and product. Factorial.
  • 2. Variations without repetition.
  • 3. Permutations without repetition.
  • 4. Combinations without repetition.
  • 5. Combinatorial numbers.
  • 6. Variations with repetition.
  • 7. Permutations with repetition.
  • 8. 4. Combinations with repetition.
  • 9. Binomial theorem and its use
  • 10. Solving combinatorial problems in arithmetic.
  • 11. Solving combinatorial problems in geometry.
Study resources and literature
    recommended literature
  • VRBA, Antonín. Kombinatorika. 1. vyd. Praha: Mladá fronta, 1980, 130 s. URL info
  • VILENKIN, Naum Jakovlevič. Kombinatorika. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1977, 298 s. URL info
Approaches, practices, and methods used in teaching
Solving of the problems.
Method of verifying learning outcomes and course completion requirements
Credit, written test and homework assignment.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2016, Autumn 2017, Autumn 2018, Autumn 2019.
  • Enrolment Statistics (Autumn 2015, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn/MA2BP_CKOM