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Lecturer(s)
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Pazourek Karel, Mgr. Ph.D.
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Zalabová Lenka, doc. Mgr. Ph.D.
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Eisner Jan, Mgr. Dr.
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Course content
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We deal with elements of linear algebra and the theory of matrices. We study arithmetic vector spaces, matrices and applications of matrices for solving problems from linear algebra. Content: Matrices and operations with matrices. Arithmetic vector spaces, linearly (in)dependent syste, of vectors, basis, dimension. Row echelon form of matrices and their rank. System of linear equations. Gauss elimination method. Determinants. Inverse matrix, matrix equations. Eigenvalues and eigenvectors of matrices.
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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 preparation for exam
- Preparation for classes
- 28 hours per semester
- Preparation for exam
- 28 hours per semester
- Class attendance
- 28 hours per semester
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Learning outcomes
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The goal of the course is the introduction into linear algebra.
The student will acquire the basic knowledge of elementary linear algebra and computation with matrices.
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Prerequisites
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The knowledge of mathematics on the level of secondary level education.
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Assessment methods and criteria
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Written examination, Interim evaluation
Active participation on practicals, successful writing of a homework (70%) and of a written exam test (50%).
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Recommended literature
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Bečvář, J. Lineární algebra. Matfyzpress, 2019. ISBN 978-80-7378-378-5.
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BICAN, L. Lineární algebra a geometrie. Praha, Academia 2000.
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Hefferon J. Linear algebra.
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Hefferon, J. Linear Algebra. Saint Michael's College, 2020. ISBN 978-1-944325-11-4.
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Motl L., Zahradník M. Pěstujeme lineární algebru.
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TLUSTÝ, P.:. Lineární algebra pro učitele. České Budějovice, PF JU, 2003.
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Zlatoš P. Lineárna algebra a geometria.
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