ZS1BK_ZMA The basis of mathematics

Faculty of Education
Autumn 2017
Extent and Intensity
0/0/.7. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
doc. RNDr. Jaroslav Beránek, CSc. (lecturer)
RNDr. Milena Vaňurová, 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 also offered to the students of the fields other than those 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 and explain the following notions: Propositions, propositional formulae. Sets and their visualizations. Operations with sets. Propositional forms. Definitions of basic notions. Deducible rules of propositional and predicate calculus. Proofs of theorems. Binary relations, their visualizations and properties. Equivalence relations, set partitions. Ordered sets. Mapping. Binary algebraic operations and their properties.
Syllabus
  • Propositions, propositional formulae. Sets and their visualizations. Operations with sets. Propositional forms. Definitions of basic notions. Deducible rules of propositional and predicate calculus. Proofs of theorems. Binary relations, their visualizations and properties. Equivalence relations, set partitions. Ordered sets. Mapping. Binary algebraic operations and their properties.
Literature
  • DRÁBEK, Jaroslav and Václav VIKTORA. Základy elementární aritmetiky : pro učitelství 1. stupně ZŠ. 1. vyd. Praha: Státní pedagogické nakladatelství, 1985, 223 s. URL info
  • VIKTORA, Václav. Matematika I pro studium učitelství v 1. až 4. ročníku ZŠ. čtvrté. Brno: Univerzita Jana Evangelisty Purkyně v Brně, 1983, 222 s. info
Teaching methods
Tutorial.
Assessment methods
Tutorial; written text (60%)
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
Information on the extent and intensity of the course: 8 hodin.
The course is also listed under the following terms Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2018, Autumn 2019, autumn 2020, Autumn 2021, Autumn 2022, Autumn 2023.
  • Enrolment Statistics (Autumn 2017, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2017/ZS1BK_ZMA