M1120 Fundamentals of mathematics

Faculty of Science
Autumn 2001
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Ladislav Skula, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Ladislav Skula, 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
Course objectives
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, 1989, 434 s. info
  • FUCHS, Eduard. Logika a teorie množin : (úvod do oboru). Vyd. 1. Brno: Rektorát UJEP, 1978, 175 s. info
Language of instruction
Czech
Further Comments
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 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2000, 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 2001, recent)
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