# 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 |