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1
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1
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Sep 23, 2019
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16:00
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2
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B230
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Number sets, sequences and their properties - monotony, boundedness. Supremum, infimum, maximum, minimum, and a limit of a sequence. High school math revision and a test
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RNDr. Eva Feuerstein, Ph.D.
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2
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1
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Oct 7, 2019
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18:00
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2
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B230
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Elementary functions, operations on functions, domain, range, properties of a function, limit of a function, composite functions, inverse function MT1- sequences and their properties, minimum, maximum, supremum, infimum, limit.
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RNDr. Eva Feuerstein, Ph.D.
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3
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1
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Oct 7, 2019
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16:00
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2
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B230
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Asymptotes of a function, composite function, inverse function, derivative of a function, rules for differentiation MT2 – functions and their properties(domain, even, odd, periodic function)
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RNDr. Eva Feuerstein, Ph.D.
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4
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1
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Oct 14, 2019
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16:00
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2
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B230
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Tangent and normal lines of a function, continuity, derivative of composite functions, differential of a function, L'Hospital’s rule MT3 – asymptotes, limit and continuity of function.
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RNDr. Eva Feuerstein, Ph.D.
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5
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1
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Oct 21, 2019
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16:00
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2
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B230
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Derivative and its application – function monotonicity, concavity/convexity. Extremes and points of inflexion, higher order derivatives. MT4 – tangent line, differential of function, L'Hospital’s rule.
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RNDr. Eva Feuerstein, Ph.D.
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6
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1
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Oct 28, 2019
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16:00
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0
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B230
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State holiday Tutorials cancelled - Homework - Investigation of function behavior. Revision before 1st mid-term test.
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RNDr. Eva Feuerstein, Ph.D.
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7
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1
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Nov 4, 2019
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16:00
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2
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B230
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Taylor’s formula, number series, convergence. Gaussian elimination for solving linear algebraic equation system.
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RNDr. Eva Feuerstein, Ph.D.
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8
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1
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Nov 11, 2019
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16:00
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2
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B230
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Linear combination, linear dependence/independence of a set of vectors. Span of vectors, vector space(vs), vector subspace(vss), basis and dimension of vs, vss. MT5 – investigation of a function behavior, monotony, local extremes, convexity, concavity, po
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RNDr. Eva Feuerstein, Ph.D.
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9
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1
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Nov 18, 2019
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16:00
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2
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B230
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Matrices, various examples of matrices, rank of a matrix, matrix operations. MT6 –series, Taylor polynomial
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RNDr. Eva Feuerstein, Ph.D.
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10
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1
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Nov 25, 2019
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16:00
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2
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B230
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Determinant of a square matrix, Sarrus’ rule, Laplace expansion with respect to a row or to a column. Gaussian elimination for calculation an inverse of a given matrix. MT7 –matrix operations, rank of a matrix.
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RNDr. Eva Feuerstein, Ph.D.
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11
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1
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Dec 2, 2019
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16:00
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2
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B230
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Solvability of a linear algebraic equation system(LAES), Frobenius theorem, calculation of all solutions of LAES. MT8 – determinants, Sarrus’ rule, Laplace expansion.
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RNDr. Eva Feuerstein, Ph.D.
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12
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1
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Dec 9, 2019
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16:00
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2
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B230
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Matrix equations solution. Cramer’s rule for solving linear algebraic system of equations. Inverse matrix calculation according to the definition (via determinants). Eigenvalues and eigenvectors of square matrices. MT9– Solvability of LAES, all solutions
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RNDr. Eva Feuerstein, Ph.D.
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13
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1
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Dec 16, 2019
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16:00
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2
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B230
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Vectors in E3 . Angle of two vectors, orthogonality, vector triple products, scalar triple product and their applications. Analytical geometry in E2 plane in E3 MT10 – Eigenvalues and eigenvectors of a square matrix.
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RNDr. Eva Feuerstein, Ph.D.
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14
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1
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Dec 16, 2019
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16:00
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2
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B230
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Application of determinants. Conics, quadrics and their invariants, classification of conics/quadrics.
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RNDr. Eva Feuerstein, Ph.D.
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