MA2MP_CTEM Set Theory - Seminar

Faculty of Education
Spring 2019
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
Mgr. Helena Durnová, Ph.D. (seminar tutor)
RNDr. Karel Lepka, Dr. (seminar tutor)
Guaranteed by
prof. RNDr. Jan Chvalina, DrSc.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Timetable of Seminar Groups
MA2MP_CTEM/01: Tue 18:00–19:50 učebna 7, K. Lepka
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
there are 6 fields of study the course is directly associated with, display
Course objectives
Fundamentals of set theory: review of the theory, examples and exercises. At the end of this course, students should be able to: illustrate the theory by many suitable examples (including showing relations with other parts of mathematics); solve simple problems of the set theory, in particular with systems of sets, well ordered sets, cardinals, and ordinals.
Learning outcomes
Po absolvování předmětu bude student schopen ilustrovat základy teorie množin množstvím různých vhodných příkladů (včetně odkazů na jiné oblasti matematiky); řešit nenáročné úlohy zejména se systémy množin, dobře uspořádanými množinami, kardinálními a ordinálními čísly.
Syllabus
  • Fundamentals of set theory: review of the theory, examples and exercises -- operations on systems of sets, review of relations and mappings, axiom of choice and equivalent statements, well ordered sets and arithmetics, cardinals and arithmetics, ordinals and arithmetics
Literature
    required literature
  • FUCHS, Eduard. Teorie množin pro učitele. Vyd. 1. Brno: Masarykova univerzita, 1999, 200 s. ISBN 8021022019. info
    recommended literature
  • FUCHS, Eduard. Diskrétní matematika a Teorie množin pro učitele (CD-ROM) (Discrete Mathematics and Set Theory for Teachers). Brno: Masarykova univerzita, 2000, 890 pp. Matematika na CD-ROM, sv. 2. ISBN 80-210-2463-1. info
Teaching methods
seminars
Assessment methods
Written test.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2018.
  • Enrolment Statistics (recent)
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