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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. Primitive functions and the indefinite integral, selected techniques of integration. 2. The Riemann integral and its properties. 3. Application in geometry and physics. 4. Improper integrals. 5. Selected methods of solving ordinary differential equations. 6. Number series, criteria of convergence, operations with series.
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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 integral calculus of functions of a single variable.
Comprehension Understand the mathematical tools of integral calculus of functions of a single variable.
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Prerequisites
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unspecified
KAG/MA1
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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: the student has to understand the subject and be able to prove the principal results.
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Recommended literature
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Brabec J., Martan F., Rozenský Z. (1989). Matematická analýza I. SNTL, Praha.
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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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Jarník V. (1984). Diferenciální počet I. Akademia Praha.
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Novák V. (2001). Integrální počet v R. MU Brno.
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P. Calábek, J.Švrček, S. Trávníček. Matematická analýza I a II (pro učitelské obory).
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V. Jarník. (1976). Integrální počet II. Academia Praha.
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