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Vyučující
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Bazaykin Yaroslav, doc. CSc., DSc.
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Obsah předmětu
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1. Primitive functions (antiderivatives) and their basic properties. 2. Integration by parts and substitutions. 3. Integration of rational functions and of functions transformed to them. 4. Newton integral and his basic properties. 5. Riemann integral and its relation to Newton integral. 6. Numerical approach to integrals. 7. Application of integrals in geometry (surfaces, volumes, lengths). 8. Application of integrals in physics (centers of mass, work). 9. Ordinary differential equations of 1st order. 10. Ordinary differential equations of 2nd order. 11. Applications of differential equations.
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Studijní aktivity a metody výuky
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nespecifikováno
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Výstupy z učení
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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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Předpoklady
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nespecifikováno
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Hodnoticí metody a kritéria
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nespecifikováno
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Doporučená literatura
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