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Lecturer(s)
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Caletka Tomáš, RNDr. CSc.
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Course content
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Elements of the set theory, real numbers; sequence of real numbers; series of real numbers, partial sum, limit of series; convergence and absolute convergence of series, alternating series; real functions of one independent real variable, derivative, differential of function; basic theorems of differential calculus; Taylor formula and derivatives of a higher order, graphs of functions; integral calculus.
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Learning activities and teaching methods
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Seminar
- Preparation for comprehensive test (10-40)
- 26 hours per semester
- Contact hours
- 26 hours per semester
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| prerequisite |
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| Knowledge |
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| There is no prerequisite for this course. Students should be familiar with basic notions of the secondary school. |
| learning outcomes |
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| On completion of this module the student will be able to solve: problems from theory of sequence and series, compute derivative of function, draw its graph, determine interval of monotonicity and convexity (concavity), solve extremal problems, solve basic problem of intgral calculus. |
| teaching methods |
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| Seminar |
| assessment methods |
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| Test |
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Recommended literature
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Čížek, Jiří; Kubr, Milan; Míková, Marta. Sbírka příkladů z matematické analýzy I. 1. vyd. Plzeň : ZČU, 1995. ISBN 80-7082-216-3.
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Drábek, Pavel; Míka, Stanislav. Matematická analýza I. 3. vyd. Plzeň : ZČU, 1998. ISBN 80-7082-476-X.
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