Course: Foundations of Mathematics

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Course title Foundations of Mathematics
Course code KMA/P103
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study 1
Semester Winter
Number of ECTS credits 5
Language of instruction Czech, English
Status of course Compulsory
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
  • Přibyl Jiří, PhDr. Ph.D.
  • Lacková Veronika, RNDr. Ph.D.
  • Rozkovec Jiří, Mgr.
Course content


Learning activities and teaching methods
unspecified
Learning outcomes
Lecture introduce students with some basic mathematical notions and images, that are needed to most mathematical disciplines. Student use gained knowledge throughout next course studies. These are especially bases of mathematical logic, set theory and algebra (sentences, quantifiers, mathematical theorems and their proofs, theorem about dividing with the rest, divisibility, numeral congruence, operations with sets, finit and countable and non countable sets, ordering, distinguished elements, Hasse diagrams, l.u.b . , g.l.b ., grupoid, semigroup, group, ring, integral domain , field, homomorphism).

Prerequisites


Assessment methods and criteria
unspecified
Recommended literature
  • Blažek, J. a kol. Algebra a teoretická aritmetika I. Praha: SPN, 1983.
  • Kopka, J. Teorie grup a dalších algebraických struktur. Ústí nad Labem: UJEP, 2004.
  • Thiele, R. Matematické důkazy. Praha: SNTL, 1985.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Science Study plan (Version): Mathematics (double subject) (A14) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Mathematics (double subject) (A14) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Science Study plan (Version): Mathematics (double subject) (A14) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Winter