Course: Introduction to Linear Algebra and Discrete Mathematics

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Course title Introduction to Linear Algebra and Discrete Mathematics
Course code KMA/KULA
Organizational form of instruction Seminary
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 6
Language of instruction Czech
Status of course Compulsory
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
Lecturer(s)
  • Kopal Jiří, Ing. Ph.D.
  • Koucký Miroslav, doc. RNDr. CSc.
  • Kalousek Zdeněk, RNDr. CSc.
Course content
Linear equations and matrix algebra, determinant. Linear algebra (vector space, linear combination, linear independence, eigenvalues, eigenvectors, linear transformations, diagonalization). Discrete mathematics (fundamentals of logic, set theory, combinatorics and graph theory). ----- The range of attendance/lessons for extra-mural study: Lectures: 12 hours / semester Seminars: 8 hours / semester Consultation: 5 hours / semester

Learning activities and teaching methods
Monological explanation (lecture, presentation,briefing)
  • Class attendance - 20 hours per semester
  • Preparation for exam - 110 hours per semester
Learning outcomes
The subject is an introduction to linear algebra and discrete mathematics.
Theoretical knowledge and ability to apply them.
Prerequisites
Knowledge of the secondary level mathematics

Assessment methods and criteria
Combined examination

Recommended literature
  • BEČVÁŘ, J.:. Lineární algebra. Praha : Matfyzpress, 2019. ISBN 978-80-7378-378-5.
  • Bican, L. Lineární algebra a geometrie. Praha, Academia, 2000. ISBN 80-200-0843-8.
  • J. Matoušek, J. Nešetřil. Kapitoly z diskrétní matematiky. Karolinum, 2009. ISBN 80-246-0084-.
  • Jacob B. Linear Functions and Matrix Theory. New York, 1995. ISBN 978-0-387-94451-7.
  • Olšák Petr. Úvod do algebry, zejména lineární. Praha, 2007. ISBN 978-80-01-03775-1.


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