M1125 Fundamentals of mathematics

Faculty of Science
Autumn 2007 - for the purpose of the accreditation
Extent and Intensity
2/2/0. 4 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
RNDr. Pavel Horák (lecturer)
RNDr. Pavel Kříž, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: RNDr. Pavel Horák
Prerequisites
! M1120 Fundamentals of Mathematics
Knowledge of high school mathematics.
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
The aim of the course is to repeat and enlarge high school knowledge of mathematics and then to present further topics especially of algabraic character.
Syllabus
  • 1. Basic logical notions 2. Basic set-theoretical notions 3. Basic number sets 4. Basic properties of integers 5. Mappings 6. Relations 7. Ordered sets 8. Equivalences and partitions 9. Basic algebraic structures with one operation 10. Basic algebraic structures with two operations 11.Homomorfhisms of algebraic structures.
Literature
  • Horák, Pavel. Základy matematiky. Učební text. Podzimní semestr 2006.
  • HORÁK, Pavel. Cvičení z algebry a teoretické aritmetiky. 3. vyd. Brno: Masarykova univerzita, 2006, 221 s. ISBN 8021039701. info
  • HORÁK, Pavel. Algebra a teoretická aritmetika. 1 [Horák]. Brno: Rektorát Masarykovy univerzity Brno, 1991, 196 s. ISBN 80-210-0320-0. info
  • ROSICKÝ, Jiří. Algebra. 2. vyd. Brno: Vydavatelství Masarykovy univerzity, 1994, 140 s. ISBN 802100990X. info
  • Childs, Lindsay. A Concrete Introduction to Higher Algebra, Springer-Verlag, 1979, 338s. ISBN 0-387-90333-x.
Assessment methods (in Czech)
Přednáška 2 hod.týdně, cvičení 2 hod.týdně. Zkouška písemná a ústní.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
Listed among pre-requisites of other courses
The course is also listed under the following terms Autumn 2010 - only for the accreditation, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018.