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FAST-GA04Acad. year: 2015/2016
Primitive function, indefinite integrals, properties of indefinite integrals, overview of basic indefinite integrals, methods of integration. 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-functions, composite functions. Limit of a function, continuous two- and more functions. Theorems on continuous functions. Partial derivatives of composite functions, higher-order partial derivatives. Transformations of differential expressions. Total differential of a function. Higher-order total differentials. Taylor polynomials of two-functions. Local maxima and minima of two-functions. One-functions defined implicitly. A two-function defined implicitly. Global maxima and minima. Finding global maxima and minima using realtive maxima and minima. 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, compulsorybranch GI , 1 year of study, summer semester, compulsory
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