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Lecturer(s)
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Šmajserová Veronika, Mgr.
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Pavlů Ivana, Mgr. Ph.D.
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Škorňa Stanislav, Mgr.
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Tomeček Jan, doc. RNDr. Ph.D.
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Fürst Tomáš, RNDr. Ph.D.
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Ludvík Pavel, RNDr. Ph.D.
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Burkotová Jana, Mgr. Ph.D.
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Bebčáková Iveta, Mgr. Ph.D.
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Machalová Monika, Ing.
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Course content
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1. Logic, sets, number sets. 2. Sequences and limits. 3. Real functions of a real variable: elementary functions, properties, limit, continuity. 4. Derivative: motivation, properties, computational methods, mean value theorems. Applications of calculus: approximation, investigation of functions, extremal problems. 5. Primitive functions: properties, basic computational methods. 6. Riemann integral: construction, properties, computational methods. Applications of integral: computation of lenghts, areas, volumes; physical applications.
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Learning activities and teaching methods
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Lecture, Monologic Lecture(Interpretation, Training), Work with Text (with Book, Textbook)
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Learning outcomes
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To understand the fundamentals of diferential and integral calculus of functions of a single variable.
Comprehension Understand the mathematical tools of diferential and integral calculus of functions of a single variable.
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Prerequisites
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Grammar school mathematics.
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Assessment methods and criteria
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Oral exam, Written exam
Credits: active participation, succesfull written tests. Exam: written and oral.
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Recommended literature
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Online přednáška.
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Online přednáška.
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Dunn, Corey M. (2017). Introduction to analysis. Boca Raton: CRC Press.
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Kojecká J., Kojecký T. (2001). Matematická analýza I. Skriptum UP Olomouc.
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Kojecká, J., Kojecký, T. (1997). Matematická analýza pro 1. semestr. VUP, Olomouc.
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Kojecká, J. (1991). Řešené příklady z matematické analýzy. Rektorát Univerzity Palackého, Olomouc.
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Kojecká J., Závodný M. (2003). Příklady z MA I. Skriptum UP Olomouc.
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Kopáček, J. (2016). Matematická analýza nejen pro fyziky (I). Matfyzpress, Praha.
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Kopáček, J. (2005). Příklady z matematiky nejen pro fyziky. Matfyzpress, Praha.
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Rudin, W. (1964). Principles of Mathematical Analysis. McGraw-Hill.
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Spivak, M. (2008). Calculus. Publish or Perish, Houston.
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Veselý, J. (2001). Matematická analýza pro učitele. Matfyzpress, Praha.
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