Course: Partialy Ordered Sets, Lattices

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Course title Partialy Ordered Sets, Lattices
Course code KAP/UMS
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 5
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements Course does not contain work placement
Recommended optional programme components None
Course availability The course is available to visiting students
  • Koucký Miroslav, doc. RNDr. CSc.
Course content

Learning activities and teaching methods
Monological explanation (lecture, presentation,briefing)
  • Preparation for exam - 90 hours per semester
  • Class attendance - 56 hours per semester
Learning outcomes
Introduce to the following - basic of lattice theory, applications of ordered structures in reliability calculations.
Theoretical knowledge and ability to apply them.
Knowledge of the secondary level mathematics

Assessment methods and criteria
Combined examination

Active participation in seminars, credit, knowledge accordant with syllabus.
Recommended literature
  • AIGNER, Martin. Combinatorial Theory. Berlin: Springer, 1997. ISBN 3-540-61787-6.
  • BIRKHOFF, Garrett. Lattice Theory. Rhode Island: American Mathematical Society, 1995. ISBN 0-8218-1025-1.
  • BYLTH, Thomas. Lattices and Ordered Algebraic Structures. New York: Springer-Verlag, 2005. ISBN 978-1-84628-1270.
  • GRÄTZER, George, WEHRUNG, Friedrich. Lattice Theory: Special Topics and Applications. Basel: Birkhäuser, 2014. ISBN 978-3-319-06413-0.
  • Kopka, J. Svazy a Booleovy algebry.. Ústí nad Labem UJEP, 1999. ISBN 80-7044-025-2.
  • ROMAN, Steven. Lattices and Ordered Sets. New York: Springer-Verlag, 2008. ISBN 978-0-387-78901-9.
  • SHIER, Douglas. Network reliability and algebraic structures. New York: Oxford University Press, 1991. ISBN 0-19-853386-1.

Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester