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Lecturer(s)
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Koudela Libor, Mgr. Ph.D.
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Course content
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Linear spaces, linear mappings, matrices. Systems of linear equations, Gaussian elimination. Determinants, Cramer's rule. Linear spaces with a dot product, euclidean space. Functions of several variables - limits and continuity, partial derivatives, differential. Superposition of functions, functions defined implicitly and their derivatives, local extrema. Ordinary differential equations of the first order, the Cauchy problem, separation of variables. Linear differential equations of the first and second order, variation of parameters, method of unknown coefficients. Riemann's multiple integral, Fubini's theorem. Calculation of double integrals, theorem on substitution, improper integrals, applications.
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Learning activities and teaching methods
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Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book)
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Learning outcomes
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The course is designed to help students in understanding basic mathematical concepts and to develop their ability to solve independently all problems concerning the topics covered by the course Mathematics II.
Students will be able to solve independently all problems concerning the topics covered by the course Mathematics II.
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Prerequisites
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unspecified
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Assessment methods and criteria
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Written examination
Assignment - active attendance at seminars and succesfully answered final written test.
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Recommended literature
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FINNEY, R. L.; THOMAS, G. B. Calculus and Analytic Geometry.
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JORDAN, D. W. - SMITH, P. Mathematical Techniques.
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LANG, S. Calculus of Several Variables.
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PEMBERTON, M. - RAU, N. Mathematics for Economists.
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