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FAST-0A6Acad. year: 2018/2019
Geometric vectors in E3, vector operations. Applications of vector calculus in spherical trigonometry. Vector space, basis, dimension, vector coordinates. Applications of vector calculus in analytic geometry.Linear algebra (basics of matrix calculus, rank of a matrix, Gauss method of elimination for linear systems). Inverse matrices, determinants. Eigenvalues and eigenvectors of matrices.Real function in one real variable, limit and continuity (basic definitions and properties), derivative of a function (geometric and physical meaning, techniques of differentiation, basic theorems on derivatives, sketching of graphs of functions, differential of a function, Taylor s expansion of a function).Primitive function, indefinite integral, properties of indefinite integral, basic integration formulae, methods of integration.
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