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FAST-GA04Acad. year: 2012/2013
Integrating rational functions, trigonometric functions, selected types of irrational functions. Newton integral its properties and calculation. Defining the Riemann integral. Applications of the definite integral in geometry and physics. Real two- and more-function, composite function. Limit of a function, continuous two- and more functions. Partial derivatives of composite functions, higher-order partial derivatives. Transformations of differential expressions. Total differential of a function. Higher-order total differentials. Taylor’s polynomials of two-functions. Local extreme of functions of two variables. Functions defined implicitly. Global extreme. Scalar field and its levels. Directional derivative of a scalar function, gradient. Tangent and normal plane to a 3D curve. Tangent plane and normal to a surface defined implicitly.
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branch G , 1 year of study, summer semester, compulsory
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