MS2RC_TEMN Set theory

Faculty of Education
Spring 2023
Extent and Intensity
0/0/6. 3 credit(s). Type of Completion: k (colloquium).
Teacher(s)
doc. RNDr. Jaroslav Beránek, CSc. (lecturer)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
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
At the end of the course students should be able to understand of concepts and differents between notions of the potential infinity and the actual infinity, be able to calculate with quantitative and qualitative characteristics of infinit sets, namely with cardinal and ordinal numbers. Students obtains a survey concerning the connectedness between various mathematical disciplines witch the set theory is a certain roof discipline for.
Syllabus
  • Set theory, basic notions and theorems. Cardinal and ordinal numbers.
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
  • BALCAR, Bohuslav and Petr ŠTĚPÁNEK. Teorie množin. 2. opr. a rozš. vyd. Praha: Academia, 2000, 462 s. ISBN 802000470X. info
  • FUCHS, Eduard. Teorie množin pro učitele. Vyd. 1. Brno: Masarykova univerzita, 1999, 200 s. ISBN 8021022019. info
  • KURATOWSKI, Kazimierz and Andrzej MOSTOWSKI. Teorija množestv. Moskva: Mir, 1970, 416 s. info
Teaching methods
Lectures.
Assessment methods
Colloquium.
Language of instruction
Czech
Further comments (probably available only in Czech)
Information on the extent and intensity of the course: 6.
The course is also listed under the following terms Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2019, Spring 2020, Spring 2021, Spring 2022.
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