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Lecturer(s)
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Fiala Jan, RNDr. et PhDr. Ph.D.
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Vocetková Klára, Mgr. Ph.D.
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Chládek Petr, Mgr. Ph.D.
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Course content
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1) Introduction to the linear algebra: vectors, vector operations, norm, scalar and vector product. 2) Linear combination, linear span and base of the vector space 3) Linear transformation and matrices, matrix multiplication as the composition of the transformations. 4) Matrix determinant. 5) Inverse matrix as an inverse transformation. Rank of the matrix. 6) Systems of linear equations, Gauss elimination method. 7) Relations, mappings, functions. Compositions, inverse functions. 8-9) Elementary functions and their properties: linear, quadratic, polynomial functions. Exponential and logarithmic functions. 10-11) Sequences and series: arithmetic and geometric sequences, sequence limits, infinite series, convergence. 12-13) Applications of the linear algebra and mathematical analysis in economic problems.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing)
- Preparation for credit
- 14 hours per semester
- Class attendance
- 21 hours per semester
- Preparation for classes
- 21 hours per semester
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Learning outcomes
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In parallel to the obligatory course of Mathematics 1, the course is designed to the students having some gaps in their high school mathematics knowledge. It is targeted to improve the technical difficulties appearing among the students of all study programs in EF SBU in the first semester of their study.
The student will understand the basic concepts and use basic algorithms of linear algebra and theory of functions.
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Prerequisites
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The course has no prerequisities.
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Assessment methods and criteria
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Student performance assessment
An active participation in all seminars, a regular team work on given assignments.
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Recommended literature
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Činčurová, L., Kafková, M. VYBRANÉ KAPITOLY ZE STŘEDOŠKOLSKÉ MATEMATIKY.
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Nýdl a kol. MATEMATIKA 1 - Úlohy, otázky, aplikace. 2015.
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