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FCH-BCT_MAT1Acad. year: 2012/2013
Vector spaces. Matrices, elementary matrix transformations and the rank of a matrix. Coordinates of vectors with respect to a given basis, determinant, systems of linear equations. Scalar and vector products, orthogonal and orthonormal bases. The concepts of a vector and a combined product, applications. Elements of the analytical geometry, planar and spatial linear and quadratic objects. Real functions, domains and ranges. Elementary functions. The concept of an inverse function, inverses to exponential and trigonometric functions. Elements of the theory of polynomials, fundamental theorem of algebra. The concept of a limit, some rules and methods for its computation. The concept of a derivative, geometrical and physical meaning, rules for its computation. Derivatives of inverse functions, L´Hospital rule, the Taylor polynomial. The concept of a primitive function and an indefinite integral, some elementary methods of integration. The definite integral and the improper integral, geometrical and physical apllications. The concept of an ordinary differential equation (ODE), 1-st order ODE. Higher-order linear ODE's with constant coefficients.
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branch BPCO_CHM , 1 year of study, winter semester, compulsorybranch BPCO_CHTOZP , 1 year of study, winter semester, compulsorybranch BPCO_SCH , 1 year of study, winter semester, compulsory
branch BKCO_SCH , 1 year of study, winter semester, compulsorybranch BKCO_CHTOZP , 1 year of study, winter semester, compulsorybranch BKCO_CHM , 1 year of study, winter semester, compulsory
branch BKCO_PCH , 1 year of study, winter semester, compulsorybranch BKCO_BT , 1 year of study, winter semester, compulsory
branch BPCO_BT , 1 year of study, winter semester, compulsorybranch BPCO_CHP , 1 year of study, winter semester, compulsory
branch BPCO_KROO , 1 year of study, winter semester, compulsory
branch BKCO_KROO , 1 year of study, winter semester, compulsory
branch BPCO_CHMN , 1 year of study, winter semester, compulsorybranch BPCO_CHTOZP , 1 year of study, winter semester, compulsory
branch CKCO_CZV , 1 year of study, winter semester, compulsory
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Guided consultation in combined form of studies
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