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1
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1
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Sep 24, 2025
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16:00
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4
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KL:B-326
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Testing secondary (high) school mathematics (this is not graded towards semester evaluation). Repeating selected parts of high school mathematics.
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Ing. Lukáš Liebzeit
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2
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1
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Oct 1, 2025
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16:00
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4
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KL:B-326
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DIFFERENTIAL CALCULUS part. Number sets. Number sequences, proper and improper limits of sequences.
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Ing. Lukáš Liebzeit
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3
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1
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Oct 8, 2025
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16:00
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4
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KL:B-326
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Number series, convergence criteria, sums of series.
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Ing. Lukáš Liebzeit
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4
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1
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Oct 15, 2025
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16:00
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4
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KL:B-326
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Elementary functions, their properties. Surveing function properties and drawing graphs. Composite, inverse, even and odd, continuous, piecewise continuous, discontinuous, and other types of function.
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Ing. Lukáš Liebzeit
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5
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1
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Oct 22, 2025
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16:00
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4
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KL:B-326
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Function limit. Calculations of different types of limits. Existence, improper and proper points and limits.
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Ing. Lukáš Liebzeit
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6
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1
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Oct 29, 2025
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16:00
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4
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KL:B-326
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Calculations of derivatives of specific functions, application of formulas to calculate derivatives of elementary functions, differentiating sum, product and ratio of functions. Differentiating composite functions.
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Ing. Lukáš Liebzeit
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7
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1
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Nov 5, 2025
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16:00
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4
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KL:B-326
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Evaluating limits using l’Hospital’s rule. Higher order derivatives. Calculating function local and global extremes using derivatives. Convex and concave functions.
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Ing. Lukáš Liebzeit
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8
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1
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Nov 12, 2025
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16:00
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4
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KL:B-326
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Tangent and normal of the function graph. Asymptotes of the graph. Investigating function behavior. Taylor polynomials of selected functions.
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Ing. Lukáš Liebzeit
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9
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1
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Nov 19, 2025
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16:00
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4
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KL:B-326
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LINEAR ALGEBRA part. Linear dependence and independence of vectors. Vector space basis. Writing vector with respect to various bases. Dimension of vector space and its subspaces and subsets.
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Ing. Lukáš Liebzeit
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10
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1
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Nov 26, 2025
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16:00
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4
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KL:B-326
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Examples of subspaces. Matrix operations. Rank of matrix by the Gauss algorithm. Addition, subtraction and multiplication of square matrices, zero and unit matrix and other algebraic properties of matrices.
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Ing. Lukáš Liebzeit
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11
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1
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Dec 3, 2025
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16:00
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4
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KL:B-326
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Calculations of determinants of square matrices, existence and calculation of inverse matrices using the determinant and alternatively using the Gauss algorithm.
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Ing. Lukáš Liebzeit
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12
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1
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Dec 10, 2025
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16:00
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4
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KL:B-326
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System of linear algebraic equations is solved by Gauss elimination algorithm.
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Ing. Lukáš Liebzeit
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13
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1
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Dec 17, 2025
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16:00
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4
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KL:B-326
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System of linear algebraic equations is solved by Cramer’s rule. Using Frobenius theorem. Calculating square matrix eigenvalues and eigenvectors.
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Ing. Lukáš Liebzeit
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14
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1
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Jan 7, 2026
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16:00
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4
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KL:B-326
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Points, vectors and lines in E3. Scalar and vector product of two vectors, angle of two vectors. The relative position of the point and the line and other stuctures in E3, their distance.
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Ing. Lukáš Liebzeit
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