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Lecturer(s)
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Vaněk Vladimír, Mgr. Ph.D.
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Course content
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1. Simplification of algebraic expressions. 2. Elementary functions and plots transformation. 3. Quadratic function and power function. 4. Exponential and hyperbolic functions + inverse functions. 5. Differential calculus of real-valued functions. 6. Limit of a function and methods of its calculation. 7. Continuity and differentiation of a function, rules for differentiation. 8. Properties of derivatives and their practical meaning. 9. Functions and their properties. 10. Optimisation problems.
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Learning activities and teaching methods
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Lecture, Monologic Lecture(Interpretation, Training), Projection (static, dynamic)
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Learning outcomes
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To deepen knowledge in elementary mathematics, especially calculus.
3. Application Apply knowledge of elementary mathematics.
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Prerequisites
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unspecified
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Assessment methods and criteria
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Didactic Test, Dialog
Colloquium: the student has to pass written test (minimal achievement: 60%), active participation in seminars: 70%, and to pass a collective discussion.
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Recommended literature
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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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Pražák P, Gavalcová T. (2005). Základy matematiky 1. Gaudeamus, Hradec Králové.
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Vaněk Vladimír, Smetanová Dana. Matematika 1.
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