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Lecturer(s)
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Lacková Veronika, RNDr. Ph.D.
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Eisenmann Petr, doc. PaedDr. CSc.
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Course content
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Primitive functions (antiderivatives) and their basic properties Integration by parts and substitutions Integration of rational functions and of functions transformed to them Newton integral and his basic properties Riemann integral and its relation to Newton integral Numerical approach to integrals Application of integrals in geometry (surfaces, volumes, lengths) Application of integrals in physics (centers of mass, work) Ordinary differential equations of 1st order Ordinary differential equations of 2nd order Applications of differential equations
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Learning activities and teaching methods
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unspecified
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Learning outcomes
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Students will learn calculus of integration of real-valued functions of one variable and its applications in geometry and physics. They will also learn basic facts about ordinary differential equations.
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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.
KMA/P336
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Assessment methods and criteria
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unspecified
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Recommended literature
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ČERNÝ, I. Matematická analýza 2. část, Liberec, 1995.
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ČERNÝ, I. Matematická analýza 3. část, Liberec, 1996.
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JARNÍK, V. Integrální počet I, Praha, ACADEMIA, 1984.
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VESELÝ, J. Matematická analýza pro učitele I, II, Matfyz press, 1994.
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