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1
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1
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Sep 24, 2024
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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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prof. MUDr. RNDr. Petr Maršálek, Ph.D.
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2
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1
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Oct 1, 2024
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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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prof. MUDr. RNDr. Petr Maršálek, Ph.D.
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3
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1
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Oct 8, 2024
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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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prof. MUDr. RNDr. Petr Maršálek, Ph.D.
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4
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1
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Oct 15, 2024
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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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prof. MUDr. RNDr. Petr Maršálek, Ph.D.
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5
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1
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Oct 22, 2024
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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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prof. MUDr. RNDr. Petr Maršálek, Ph.D.
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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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prof. MUDr. RNDr. Petr Maršálek, Ph.D.
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7
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1
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Nov 5, 2024
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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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prof. MUDr. RNDr. Petr Maršálek, Ph.D.
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8
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1
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Nov 12, 2024
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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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prof. MUDr. RNDr. Petr Maršálek, Ph.D.
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9
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1
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Nov 19, 2024
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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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prof. MUDr. RNDr. Petr Maršálek, Ph.D.
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10
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1
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Nov 26, 2024
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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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prof. MUDr. RNDr. Petr Maršálek, Ph.D.
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11
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1
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Dec 3, 2024
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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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prof. MUDr. RNDr. Petr Maršálek, Ph.D.
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12
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1
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Dec 10, 2024
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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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prof. MUDr. RNDr. Petr Maršálek, Ph.D.
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13
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1
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Dec 17, 2024
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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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prof. MUDr. RNDr. Petr Maršálek, Ph.D.
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14
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1
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Jan 7, 2025
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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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prof. MUDr. RNDr. Petr Maršálek, Ph.D.
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