M1120 Fundamentals of mathematics

Faculty of Science
Autumn 1999
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Ladislav Skula, DrSc. (lecturer)
Mgr. Martin Ander, Ph.D. (seminar tutor)
doc. Mgr. Maria Králová, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Jiří Rosický, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Ladislav Skula, DrSc.
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
Syllabus
  • Sets: sets, subsets, unions, intersections, cartesian product
  • Mappings: mappings, injections, surjections, bijections, inverse mappings, composition of mappings, cardinality of a set, Cantor theorem, cardinality of sets of numbers
  • Relations: relations, composition of relations, inverse relations, equivalence relations, construction of integers and rational numbers
  • Ordered sets: ordered sets,complete lattices, fix point theorem, construction of real numbers
  • Combinatorics: variations, combinations (without and with repetitions), inclusion-exclusion principle
  • Elements of graph theory: graphs, connected graphs, trees, Euler graphs
Literature
  • KOLÁŘ, Josef, Olga ŠTĚPÁNKOVÁ and Michal CHYTIL. Logika, algebry a grafy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury. 434 s. 1989. info
  • FUCHS, Eduard. Logika a teorie množin : (úvod do oboru). Vyd. 1. Brno: Rektorát UJEP. 175 s. 1978. info
Language of instruction
Czech
Further Comments
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 2007 - for the purpose of the accreditation, Autumn 2010 - only for the accreditation, Autumn 2000, Autumn 2001, 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, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (Autumn 1999, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn1999/M1120