IMAp02 The Base of Algebra and Arithmetics

Faculty of Education
Spring 2021
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Taught online.
Teacher(s)
doc. RNDr. Jaroslav Beránek, CSc. (seminar tutor)
Mgr. Jitka Panáčová, 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
IMAp02/01: Wed 7:00–8:50 učebna 35, J. Panáčová
IMAp02/02: Tue 7:00–8:50 učebna 34, J. Panáčová
IMAp02/03: Mon 8:00–9:50 učebna 34, J. Panáčová
IMAp02/04: Tue 16:00–17:50 učebna 1, J. Beránek
IMAp02/05: Tue 12:00–13:50 učebna 37, J. Beránek
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 the followed knowledge: > Mappings between sets. > Equivalent sets. > Finite and infinite sets. > Similarity of linearly ordered sets. > Binary algebraic operations and their properties. > Algebraic structures with one and two operations. > Study and utilizing of the concepts in school mathematics.
Learning outcomes
At the end of the course students should be able to understand and explain the followed knowledge: > Mappings between sets. > Equivalent sets. > Finite and infinite sets. > Similarity of linearly ordered sets. > Binary algebraic operations and their properties. > Algebraic structures with one and two operations. > Study and utilizing of the concepts in school mathematics.
Syllabus
  • Fundamentals of Algebra and Arithmetic > Mappings between sets. > Equivalent sets. > Finite and infinite sets. > Similarity of linearly ordered sets. > Binary algebraic operations and their properties. > Algebraic structures with one and two operations. > Study and utilizing of the concepts in school mathematics.
Literature
    required literature
  • DRÁBEK, Jaroslav and Václav VIKTORA. Základy elementární aritmetiky : pro učitelství 1. stupně ZŠ a. 1. vyd. Praha: Státní pedagogické nakladatelství, 1985, 223 s. info
    recommended literature
  • FAJMON, Břetislav. Základy matematiky - přednáškový text (Foundations of Mathematics - lecture notes). Online. rno, 2017, 82 pp. osobní stránka autora 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
  • HORÁK, Pavel. Základy matematiky: Učební text. 2007. URL info
  • SKULA, Ladislav. Úvod do teorie množin a algebraických operací [2. rozšíř. vyd.]. Vyd. 2., rozšířené. Praha: Státní pedagogické nakladatelství, 1979, 134 s. info
Teaching methods
Seminar. Solving of the problems.
Assessment methods
Credit, written test.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
Information on completion of the course: Obsah tohoto předmětu bude součástí požadavků u zkoušky z předmětu Aritmetika 1 ve 3. semestru studia.
The course is taught annually.
Listed among pre-requisites of other courses
The course is also listed under the following terms Spring 2018, Spring 2019, Spring 2020, Spring 2022, Spring 2023.
  • Enrolment Statistics (Spring 2021, recent)
  • Permalink: https://is.muni.cz/course/ped/spring2021/IMAp02