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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 instructional blocks: 1.-2. Relations on a set; equivalence relations and order relations. 3.-4. Operations on sets; basic algebraic structures. 5.-6. Systems of linear equations in school mathematics. 7.-8. Vector spaces; 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 fundamental knowledge 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 specific prior knowledge is required.
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Assessment methods and criteria
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unspecified
Active participation in lectures and tutorials. Regular independent preparation and completion of assigned tasks in the Moodle system.
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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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