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1
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1
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Sep 21, 2020
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14:00
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2
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B230
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Introduction to differential calculus -Number sets, sequences and their properties - monotony, boundedness. Supremum, infimum, maximum, minimum, and a limit of a sequence.
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RNDr. Eva Feuerstein, Ph.D.
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2
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1
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Oct 28, 2019
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8:00
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2
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B230
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State Holiday - Self study - Real function of one real variable, elementary functions review, operations on functions, properties of a function, composite functions, inverse function, limit of a function, one sided limits, rules for limit calculation
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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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14:00
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2
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B230
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Application of a limit, asymptotes of a function, continuity of a function, derivative of a function, rules for differentiation
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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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14:00
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2
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B230
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Tangent and normal lines of a function, differential of a function, derivative of composite functions, , L'Hospital’s rule.
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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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14:00
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2
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B230
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Higher order derivatives, function monotonicity, local extremes, concavity/convexity of a function, points of inflexion, investigation of function behavior.
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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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14:00
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0
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B230
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State holiday
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RNDr. Eva Feuerstein, Ph.D.
|
|
7
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1
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Nov 4, 2019
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14:00
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2
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B230
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Number series, convergence, divergence, geometric series, alternating series. Criteria of convergence, Taylor’s polynomial
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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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14:00
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2
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B230
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Introduction to linear algebra - Linear combination of vectors, linear dependence or independence of a set of vectors. Span of a set of vectors, vector space, vector subspace, basis and dimension of vector space/subspace.
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RNDr. Eva Feuerstein, Ph.D.
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|
9
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1
|
Nov 18, 2019
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14:00
|
2
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B230
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Matrices, various examples of matrices, rank of a matrix, matrix operations, square matrices and properties, inverse of a matrix
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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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14:00
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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.
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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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14:00
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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. Cramer’s rule for solving LAES with regular matrix..
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RNDr. Eva Feuerstein, Ph.D.
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|
12
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1
|
Dec 9, 2019
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14:00
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2
|
B230
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Matrix equations solution. Inverse matrix calculation according to the definition (via determinants). Eigenvalues and eigenvectors of square matrices.
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RNDr. Eva Feuerstein, Ph.D.
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|
13
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1
|
Dec 16, 2019
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14:00
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2
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B230
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Analytical geometry in E2 plane in E3, vectors in E3 ,angle of two vectors, orthogonality, vector triple products, scalar triple product and applications.
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RNDr. Eva Feuerstein, Ph.D.
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|
14
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1
|
Jan 6, 2020
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14:00
|
2
|
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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