# Schedule of tutorials of F7ABBLAD (semester B221)

Week Par Date Time Hours Room Subject Teacher
1 1 Sep 19, 2022 16:00 2 B230 S1 Entrance test - secondary school mathematics (does not count towards assessment). Number sets. Sequences - their properties (monotony, boundedness), minimum, maximum, supremum, infimum, limit of a sequence. RNDr. Eva Feuerstein, Ph.D.
1 1 Sep 21, 2022 10:00 2 B435 L1 Sequences and their properties (monotony, boundedness), minimum, maximum, supremum, infimum, limit. Examples in MATLAB, including visualization. This Lab will be next week upon agreement. RNDr. Eva Feuerstein, Ph.D.
2 1 Sep 26, 2022 16:00 2 B230 S2 Overview of elementary functions. Operations with functions, composite function, inverse function, limit of a function, continuity of a function. MT1- sequences, properties, minimum, maximum, supremum, infimum, limit. RNDr. Eva Feuerstein, Ph.D.
3 1 Oct 3, 2022 16:00 2 B230 S3 Vertical and oblique asymptotes, function graph. Derivative - derivative calculation. MT2 – function, its domain and properties (even, odd, periodic), function limit, continuity. RNDr. Eva Feuerstein, Ph.D.
2 1 Sep 28, 2022 10:00 2 B435 L2 Overview of elementary functions. Operations with functions, composite function, inverse function. Limits and continuity of function. Visualization. RNDr. Eva Feuerstein, Ph.D.
4 1 Oct 10, 2022 16:00 2 B230 S4 Derivative of a compound function, derivative of an inverse function. Application of the derivative - tangent and normal to the graph of a function, differential of a function, L'Hospital's rule. MT3 – asymptotes, function limits, derivatives. RNDr. Eva Feuerstein, Ph.D.
3 1 Oct 5, 2022 10:00 2 B435 L3 Vertical and oblique asymptotes of a function graph. Limit calculations. First derivative, rules for derivative calculation. Visualization. RNDr. Eva Feuerstein, Ph.D.
4 1 Oct 12, 2022 10:00 2 B435 L4 Derivative of a compound function, derivative of an inverse function. Application of the derivative - tangent and normal to the graph of a function, differential of a function, L'Hospital's rule. Visualization RNDr. Eva Feuerstein, Ph.D.
5 1 Oct 17, 2022 16:00 2 B230 S5 Derivative and its application – function monotonicity, local extremes, concavity/convexity and points of inflection, higher order derivatives. RNDr. Eva Feuerstein, Ph.D.
5 1 Oct 19, 2022 10:00 2 B435 L5 First derivative use - monotony of a function, local and global extrema, second derivative use - determining the intervals where the function is convex/concave, and has points of inflection. Vizualization. RNDr. Eva Feuerstein, Ph.D.
6 1 Oct 24, 2022 16:00 2 B230 S6 Investigation of the function behavior. Application of derivative, real life examples. MT5 – derivative of a function, L'Hospital's rule. RNDr. Eva Feuerstein, Ph.D.
6 1 Oct 26, 2022 10:00 2 B435 L6 Investigation of function behavior. Application of derivative, real life examples. L'Hospital's rule use. Visualization RNDr. Eva Feuerstein, Ph.D.
7 1 Oct 31, 2022 16:00 2 B230 S7 Taylor polynomial. Number series, sum of a series, convergence criteria, geometric series, alternating series. Repetition before the 1st half-semester test. RNDr. Eva Feuerstein, Ph.D.
7 1 Nov 2, 2022 10:00 2 B435 L7 Taylor polynomial, calculation and applications. Number series, convergence criteria, sum of series. Geometric series, alternating series. RNDr. Eva Feuerstein, Ph.D.
8 1 Nov 7, 2022 10:00 2 B435 S8 Gaussian elimination method (GEM). Linear combination of vectors, linear independence(LI)/dependence(LD) vectors, vector space (VP), bases and dimension of VP. MT6 – Number series, convergence, geometric series sum. Ing. Václav Petrák, Ph.D.
8 1 Nov 9, 2022 10:00 2 B435 L8 GEM examples of use . LD and/or LI of a group of vectors. VS examples, basis and dimension of VS/VSS. Ing. Václav Petrák, Ph.D.
9 1 Nov 14, 2022 16:00 2 B230 S9 Scalar product of vectors, rank of a matrix, operations with matrices. Gauss - Jordan elimination(GJE) for inverse matrix calculation. MT7 – LZ/LNZ of vectors, basis, dimension of VP, VPP. Ing. Václav Petrák, Ph.D.
9 1 Nov 16, 2022 10:00 2 B435 L9 Scalar product of vectors, rank of a matrix, operations with matrices. GJE for inverse matrix calculation. Ing. Václav Petrák, Ph.D.
10 1 Nov 21, 2022 16:00 2 B435 S10 Determinant of a square matrix, calculation of the determinant: Sarrus rule, Laplace expansion. Inverse matrix – calculation using determinants. MT8 – matrix operations, matrix rank calculation using GEM Ing. Václav Petrák, Ph.D.
10 1 Nov 23, 2022 10:00 2 B435 L10 Determinant of a square matrix, calculation of the determinant: Sarrus rule, Laplace expansion. Inverse matrix – calculation using determinants. Ing. Václav Petrák, Ph.D.
11 1 Nov 28, 2022 16:00 2 B230 S11 SLAE solvability, calculation of all SLAE solutions. Cramer's rule. MT9 – Determinant calculation, Sarrus rule, Laplace expansion Ing. Václav Petrák, Ph.D.
11 1 Nov 30, 2022 10:00 2 B435 L11 SLAE solvability, calculation of all SLAE solutions. Cramer's rule. Visualization Ing. Václav Petrák, Ph.D.
12 1 Dec 5, 2022 16:00 2 B435 S12 Eigenvalues and eigenvectors of a square matrices. Ing. Václav Petrák, Ph.D.
12 1 Dec 7, 2022 10:00 2 B435 L12 Eigenvalues and eigenvectors of square matrices. Visualization Ing. Václav Petrák, Ph.D.
13 1 Dec 12, 2022 10:00 2 B230 S13 Application of eigenvalues and eigenvectors. MT10 – calculation of eigenvalues and eigenvectors of square matrices. Ing. Václav Petrák, Ph.D.
13 1 Dec 14, 2022 10:00 2 B435 L13 Application of eigenvalues and eigenvectors, and exponential functions to construct Linear Autonomous Systems with constant coefficients solution. Visualization. Ing. Václav Petrák, Ph.D.
14 1 Jan 9, 2023 16:00 2 B230 S14 Conics and quadrics and their classification using determinants. Review before 2nd midterm test. Ing. Václav Petrák, Ph.D.
14 1 Jan 11, 2023 10:00 2 B435 L14 Conics and quadrics and their classification. Visualization. Ing. Václav Petrák, Ph.D.
Total 56