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Lecturer(s)
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Vítková Lenka, Mgr. Ph.D.
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Calábek Pavel, RNDr. Ph.D.
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Course content
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1. Number sets, supremum, infimum. 2. Number sequences, monotonicity, limits. 3. Functions and their characteristics, composite and inverse functions. 4. Limits of functions, continuity. 5. Differential calculus: Differentiation, the differential of a function, fundamental theorems, course of a function.
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Learning activities and teaching methods
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Monologic Lecture(Interpretation, Training), Dialogic Lecture (Discussion, Dialog, Brainstorming)
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Learning outcomes
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Understand the mathematical tools of differential calculus of functions of a single variable.
Comprehension Understand the mathematical tools of differential calculus of functions of a single variable.
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Prerequisites
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unspecified
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Assessment methods and criteria
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Oral exam, Written exam
Credit: the student has to turn in all pieces of homework and obtain at least 40% of points in every short test during the semester and at least half of the possible points in the final (long) test. Exam:
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Recommended literature
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G. S. Simmons. (2005). Calculus With Analytic Geometry. McGraw-Hill.
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J. Brabec, B. Hrůza. (1989). Matematická analýza II. SNTL Praha.
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J. Brabec, F. Martan, Z. Rozenský. (1989). Matematická analýza I. Praha: SNTL.
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Jarník V. (1984). Diferenciální počet I. Akademia Praha.
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Jarník V. (1984). Integrální počet I. Academia Praha.
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Novák V. (1988). Diferenciální počet v R.. UJEP Brno.
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P. Calábek, J.Švrček, S. Trávníček. Matematická analýza I a II (pro učitelské obory).
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