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Vyučující
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Pavlišta Martin, Ing. Ph.D.
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Obsah předmětu
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Matrices, determinants. Systems of linear equations. Vectors. Linear dependence and independence of vectors. Scalar product. Vector product. Complex numbers, operations on complex numbers. The concept of real functions of a real variable. The composite function. The inverse function. Elementary functions. Limit and connection of a function. Derivative. Geometrical and physical meaning. Applications. Derivatives of elementary functions. The basic formulas for differentiation. Differential of a function. Higher derivatives. Investigation of behavior of a function Primitive functions, indefinite integral. The basic formulas for integration. Method by parts. Substitution methods. Integration of rational functions. Definite integral and its applications. Basic differential equations.
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Studijní aktivity a metody výuky
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Monologická (výklad, přednáška, instruktáž), Dialogická (diskuze, rozhovor, brainstorming), Metody práce s textem (učebnicí, knihou)
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Výstupy z učení
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The aim of this course is to provide students with basics of mathematical tools with respect to their study field
Students will be provided with basics of differential and integral calculus of one variable and with basic linear algebra, mainly through their own computation skills and also with the help of web applications.
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Předpoklady
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Not specified.
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Hodnoticí metody a kritéria
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Ústní zkouška, Písemná zkouška, Analýza výkonu studenta
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Doporučená literatura
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Dobrakovová, J. and Janiga, I. Mathematics I, textbook in English. Published by Vydavateľstvo STU, Bratislava, 2004, ISBN 80-227-2095-X..
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Kostra, J. Mathematics I., Published by University of Pardubice, Pardubice, 2018.
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Thurston, H. A. The calculus: An introduction. Published by Prentice-Hall, New Jersey, 1973, ISBN: 0131102885..
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