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Lecturer(s)
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Lacková Veronika, RNDr. Ph.D.
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Course content
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Continuity and limits of functions of more variables Deeper properties of partial derivatives, gradient Implicit functions and their derivatives Extrema of functions of more variables Extrema of functions of more variables (constrained) Integration of functions of more variables Riemann approach, relations to measures, other integrals Regular mapping, substitution in integrals of functions of more variables Application of integration of functions of more variables in geometry and in physics Function series, uniform convergence Derivative and integration of function series Power series
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Learning activities and teaching methods
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unspecified
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Learning outcomes
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Theory of differential and integral analysis of functions of more variables, their usage in geometry and physics. Function series, their convergence, derivatives and integration, power series.
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Prerequisites
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Teaching in English is meant only for erasmus and foreign students. In the case of a small number of students is teaching in a form of individual consultations.
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Assessment methods and criteria
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unspecified
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Recommended literature
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J. Kopáček. Matematika pro fyziky II, Praha, Matfyzpress, 1998.
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JARNÍK, V. Diferenciální počet II, Pha, Academia, 1984.
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JARNÍK, V. Integrální počet II, Pha, Academia, 1984.
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KOPÁČEK, J. Matematika pro fyziky III. Matfyzpress, Praha.
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KOPÁČEK, J. Matematika pro fyziky IV. Matfyzpress, Praha.
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