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Lecturer(s)
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Sapáková Persefoni, Mgr.
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Halaš Radomír, prof. Mgr. Dr.
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Kurač Zbyněk, Mgr.
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Lachman Dominik, Mgr.
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Course content
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1. Number theory: Congruence, divisibility in the domain of integers, number functions (Euler´s totient function), Fermat's theorem. 2. Elementary Diophantine equations. 3. Inequalities: Power means, A-G means, other important inequalities and their applications.
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Learning activities and teaching methods
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Monologic Lecture(Interpretation, Training), Projection (static, dynamic)
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Learning outcomes
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Understand bases of theory of numbers, to master solving the school tasks.
1. Knowledge Deepen knowledges in elementary mathematics
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Prerequisites
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unspecified
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Assessment methods and criteria
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Didactic Test
Credit: the student has to pass written test (minimal achievement: 60%), active participation in seminars: 70%.
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Recommended literature
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Herman J., Kučera R., Šimša J. (1998). Metody řešení matematických úloh I. MU Brno.
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Herman J.,Kučera R., Šimša J. (1997). Metody řešení matematických úloh II.. MU Brno.
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Vinogradov, I. M. (1972). Osnovy teoriji čisel. Nauka Moskva.
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