Lecturer(s)
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Dostálková Iva, doc. RNDr. Ph.D.
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Course content
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Content of lectures: 1. Functions, graphs, Inverse Functions. 2. Polynomial functions. 3. Trigonometric Functions, Exponential Function, Logarithm Function. 4. Limits,a symptotes 5. Continuity. 6. Derivatives (Product and Quotient Rule, Derivatives of Trig Functions, Derivatives of Exponential and Logarithm Functions, Trig Functions. 7. Higher Order Derivatives. 8. Applications of derivations. Convexity. 9. Local extrem, conditions for sufficient conditions of extrema. 10. Elements of linear algebra (Matrix, Determinant). 11. Systems of linear equations. 12. Integral. Methods of integration. 13. Area Between Two Curves, Volumes. Content of practicals: Calculation of limits, derivatives and integrals. Various applications.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Work with text (with textbook, with book)
- Class attendance
- 56 hours per semester
- Preparation for classes
- 56 hours per semester
- Preparation for credit
- 56 hours per semester
- Preparation for exam
- 56 hours per semester
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Learning outcomes
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To develop basic concepts of calculus and linear algebra.
orientation in data and processes of various disciplines
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Prerequisites
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high school knowledge of mathematics
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Assessment methods and criteria
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Written examination, Student performance assessment, Interim evaluation
To complete the course it is necessary to pass the credit and pass the exam. To gain credit, sufficient attendance at the exercises and sufficient average success rate (50%) in short practice tests. Credit is a prerequisite for the exam test. The exam is written and is successful in reaching 50% of the test.
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Recommended literature
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Bušek I., Calda E. Matematika pro gymnázia. Základní poznatky. Praha, 2008. ISBN 978-80-7196-366-0.
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Dostálková I. Matematika 0. České Buějovice, 1992.
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Hrubý D, Kubát J. Matematika pro gymnázia. Diferenciální a integrální počet. Praha, 2008. ISBN 978-80-7196-363-9.
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Charvát J., Zhouf J. Matematika pro gymnázia. Rovnice a nerovnice. ISBN 807196154X.
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Odvárko O. Matematika pro gymnázia. Funkce, 2008. 2008. ISBN 80-7196-164-7.
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