MA2BP_PAL1 Algebra 1

Faculty of Education
Autumn 2016
Extent and Intensity
2/0/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Břetislav Fajmon, Ph.D. (lecturer)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Timetable
Tue 13:55–15:35 učebna 30
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 and explain followed: The aim of the subject is to practise and consolidate basic knowledge and notions of algebra.
Syllabus
  • Basic notions of propositional logic. Set operations, their representations and properties. Binary relations and their properties. Mapping. Kinds of mapping. Ordering and ordered sets. Equivalence on a set, set partition, congruences on integers, residue systems. Algebraic structures with one operation, their substructures and homomorphisms. Algebraic structures with two operations, their substructures and homomorphisms. Basic notions from the theory of quotient structures (partition pertinent to a subgroup, invariant subgroup, qoutient group, partition pertinent to the ideal, quotient ring)
Literature
    recommended literature
  • BIRKHOFF, Garrett and Saunders MAC LANE. Prehľad modernej algebry. Translated by Štefan Znám - Jaroslav Smítal. 1. vyd. Bratislava: Alfa, vydavateľstvo technickej a ekonomickej literatúry, 1979, 468 s. info
    not specified
  • HORÁK, Pavel. Cvičení z algebry a teoretické aritmetiky I. 2. vyd. Brno: Masarykova univerzita, 1998, 221 s. ISBN 8021018534. info
  • HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Masarykova univerzita, 1993, 145 s. ISBN 8021008164. info
  • KATRIŇÁK, Tibor. Algebra a teoretická aritmetika. 1. vyd. Bratislava: Alfa, vydavateľstvo technickej a ekonomickej literatúry, 1985, 349 s. info
  • Cvičení z algebry. Edited by Yvona Coufalová. Vyd. 1. Brno: UJEP Brno, 1985, 168 s. info
  • BLAŽEK, Jaroslav. Algebra a teoretická aritmetika. 1. vyd. Praha: Státní pedagogické nakladatelství, 1983, 278 s. URL info
Teaching methods
Lectures.
Assessment methods
Written test and oral exam. Required percentage of correct answers in the written test: 60 %.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
Information on completion of the course: Podmínkou pro konání zkoušky je získání zápočtu z disciplíny MA2BP_CAL1.
The course is taught annually.
The course is also listed under the following terms Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2017.
  • Enrolment Statistics (Autumn 2016, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2016/MA2BP_PAL1