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Lecturer(s)
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Roskovec Tomáš, RNDr. Ph.D.
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Tlustý Pavel, prof. RNDr. CSc.
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Course content
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Main topics (course outline) by individual teaching blocks: 1-2. Relations on a set; equivalence and ordering 3-4. Operations on sets; basic algebraic structures 5-6. Systems of linear equations in school mathematics 7-8. Vector space; linear combinations 9-10. Linear dependence and independence of vectors; generating sets of a vector space 11-12. Basis of a vector space 13-14. Coordinates of vectors with respect to a basis
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book), Individual tutoring
- Class attendance
- 26 hours per semester
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Learning outcomes
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The student acquires a fundamental understanding of linear algebra.
The student will be able to solve basic problems in number theory and apply the acquired knowledge in practical real-life situations.
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Prerequisites
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No prior specialized knowledge is required.
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Assessment methods and criteria
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unspecified
Active participation in lectures and seminars. Regular self-study and completion of assigned exercises in the Moodle platform.
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Recommended literature
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Anton, H. Elementary linear algebra. New York: John Wiley & sons, 1987. ISBN 0-471-85223-6.
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Bican, L. Lineární algebra. Praha: SNTL, 1979.
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Motl, L., Zahradník, M. Pěstujeme lineární algebru. Praha: Karolinum, 2002.
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Nakos, G., Joyner D. Linear algebra with application. ITP Company: Pacific Grove, 1998. ISBN 0-534-95526-6.
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Tlustý, P. Lineární algebra pro učitele. České Budějovice, 2003. ISBN 80-7040-609-7.
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