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Lecturer(s)
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Krupka Michal, doc. RNDr. Ph.D.
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Kolařík Miroslav, doc. RNDr. Ph.D.
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Kolařík Jan, Mgr.
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Course content
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1. Number line, supremum and infimum. 2. Numerical sequences. 3. The concept of function. Elementary functions. 4. Limit of function. Continuity of function. 5. Derivative of a function. 6. Basic sentences of differential calculus. 7. Use of differential calculus. Taylor's polynomial. 8. Numerical series.
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Learning activities and teaching methods
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Lecture, Demonstration
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Learning outcomes
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The students become familiar with basic concepts of mathematical analysis.
Comprehension Comprehension of basic notions of differential calculus, master applications of the methods.
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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
Active participation in class. Completion of assigned homeworks. Passing the oral (or written) exam.
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Recommended literature
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Došlá Z, Novák V. (2007). Nekonečné řady. Brno.
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Jarník V. Diferenciální počet I.
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Kojecká J., Kojecký T. (2001). Matematická analýza I. Skriptum UP Olomouc.
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Kojecká J., Závodný M. (2003). Příklady z MA I. Skriptum UP Olomouc.
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Neill H. (2018). Calculus: A Complete Introduction: The Easy Way to Learn Calculus (Teach Yourself). Hodder & Stoughton General Division.
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Spivak, M. (2008). Calculus. Houston, Tex: Publish or Perish.
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