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Lecturer(s)
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Berka Karel, prof. RNDr. Ph.D.
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Zgarbová Marie, Mgr. Ph.D.
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Course content
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1. Algebraic expressions. 2. Equations. 3. Probability and statistics: theory, basics. 4. Basic linear algebra-vectors, matrices, determinants. 5. Solving the systems of linear equations (Frobenius theorem, Cramer's rule). 6. Solving the non-linear equations. 7. Linear transformations of elementary functions. 8. Numeric real progressions and series - limit tending to infinity of a progression. 9. Basic differential calculus for functions with one real variable-limit, continuousness (interval showing by continuous functions) 10. Differentiation (characteristics, its use to study the course of the function). 11. Basic integral calculus of the functions with one variable-indefinite integral 12. Definite interval. Riemann's effect and its application.
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Learning activities and teaching methods
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Dialogic Lecture (Discussion, Dialog, Brainstorming)
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Learning outcomes
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This seminar in mathematics is focused on practicing basic linear algebra, solving linear and non-linear equations, differentiation, and integrals.
ability to apply basic mathematical operations, calculate model examples of different problems
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Prerequisites
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unspecified
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Assessment methods and criteria
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Written exam
1) active participation at 80% of the seminars 2) final credit test successfully fulfilled in 75%
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Recommended literature
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Gelfand J. M.:. (1953). Lineární algebra,. ČSAV Praha.
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Jarník V. (1954). Úvod do počtu integrálního. ČSAV Praha.
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Jarník V. (1984). Diferenciální počet I. Akademia Praha.
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Kubát J., Hrubý D. (1997). Diferenciální a integrální počet. Prométheus, Praha.
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Polák, J. Středoškolská matematika v úlohách I..
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Polák, J. Středoškolská matematika v úlohách II..
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Rektorys, K. Přehled užité matematiky I..
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Rektorys, K. Přehled užité matematiky II..
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