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Lecturer(s)
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Dofková Radka, doc. PhDr. Ph.D.
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Laitochová Jitka, doc. RNDr. CSc.
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Course content
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Infinite sequences and infinite series of constants and functions. Basic theory of infinite series. Applications of power series. Main topics: Infinite sequences of numbers. Infinite series of numbers - basic terms and concepts. Series with non-negative members. Absolute convergence. Sequences and series of functions. Power series and their applications.
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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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Sequences. Number series and functional series. Applications.
Introduction to the theory of infinite series, which is one of the foundations of mathematical analysis. An overview of the applications of the theory of infinite sequences and series and ability to use them.
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Prerequisites
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The prerequisite is passing of courses Calculus 1, Calculus 2 and Calculus 3.
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Assessment methods and criteria
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Mark, Oral exam, Written exam
Passing tests, elaboration of homeworks.
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Recommended literature
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Hájek, J., Dula J. (1990). Cvičení z matematické analýzy.Nekonečné řady.. Brno: Masarykova univerzita.
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Zuzana Došlá, Vítězslav Novák. (2007). Nekonečné řady. Brno.
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