Course: Introduction to Linear Algebra and Discrete Mathematics

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Course title Introduction to Linear Algebra and Discrete Mathematics
Course code KMA/ULA
Organizational form of instruction Lecture + Lesson
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)
  • Cvrček Milan, PhDr. Ph.D.
  • Koucký Miroslav, doc. RNDr. CSc.
  • Kalousek Zdeněk, RNDr. CSc.
  • Jirsák Čeněk, Mgr.
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 - 70 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, 2000.
  • 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
Faculty: Faculty of Mechatronics, Informatics and Interdisciplinary Studies Study plan (Version): Information Technology (2013) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Mechatronics, Informatics and Interdisciplinary Studies Study plan (Version): Electronic Information and Control Systems (2012) Category: Electrical engineering, telecommunication and IT 1 Recommended year of study:1, Recommended semester: Winter