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FAST-BA003Acad. year: 2022/2023
Double and triple integrals. Their calculation, transformation, physical and geometric interpretation.Curvilinear integral in a scalar field, its calculation and application. Divergence and rotation of a vector field. Curvilinear integral in a vector field, its calculation and application. Independence of a curvilinear integral on the integration path. Green`s theorem. Existence and uniqueness of solutions to first order differential equations. n-th order homogeneous linear differential equations with constant coefficients. Solutions to non-homogeneous linear differential equations with special-type right-hand sides. Variation-of-constants method.
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Specification of controlled education, way of implementation and compensation for absences
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Basic literature
Jirásek, F., Čipera, S., Vacek, M., Sbírka řešených příkladů z matematiky II, SNTL Praha 1986.
Eliáš, J., Horváth, J., Kajan, J., Śulka, R., Zbierka úloh z vzššej matamatiky 3 a 4, Alfa Bratislava 1979.
Recommended reading
Škrášek, J., Tichý Z., Základy aplikované matematiky II, Praha SNTL 1986.
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branch VS , 2. year of study, winter semester, compulsory
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