IMAp11 The Mathematics 1

Faculty of Education
autumn 2020
Extent and Intensity
0/1/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
Mgr. Jitka Panáčová, Ph.D. (seminar tutor)
Guaranteed by
Mgr. Jitka Panáčová, Ph.D.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Timetable of Seminar Groups
IMAp11/01: each even Tuesday 10:00–11:50 učebna 30, J. Panáčová
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
The subject aims to acquaint students with the basic concepts of Mathematical Branches, Fundamentals of logic and set theory. > 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. > Composition of relations. > Study and utilizing of the concepts in school mathematics.
Learning outcomes
At the end of the course students should be able to solved selected problems of propositional calculus, set theory especially verbal problems. Students should be able know rules of derivation of propositional and predicate calculus. Study of specific binary relations with respect to school mathematics.
Syllabus
  • Mathematics 1 Solving of selected problems of propositional calculus, set theory especially verbal problems. Rules of derivation of propositional and predicate calculus - examples of correct and erroneous reasoning. Proofs of mathematical theorems, examples of basic principles of proofs of specific simple mathematical theorems. Study of specific binary relations with respect to school mathematics.
Literature
    required 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
    recommended literature
  • HORÁK, Pavel. Cvičení z algebry a teoretické aritmetiky. 3. vyd. Brno: Masarykova univerzita, 2006, 221 s. ISBN 8021039701. info
  • Cvičení z algebry. Edited by Yvona Coufalová. Vyd. 1. Brno: UJEP Brno, 1985, 168 s. 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
    not specified
  • FUCHS, Eduard. Logika a teorie množijn (Úvod do oboru). 1st ed. Brno: UJEP Brno, 1978, 175 pp. info
Teaching methods
Seminar.
Assessment methods
credit, seminar
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Autumn 2017, Autumn 2018, Autumn 2019, Autumn 2021, Autumn 2022, Autumn 2023.
  • Enrolment Statistics (autumn 2020, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2020/IMAp11