# Schedule of lectures of 17ABBLAD (semester B191)

Week | Par | Date | Time | Hours | Room | Subject | Teacher |
---|---|---|---|---|---|---|---|

1 | 1 | Sep 21, 2020 | 14:00 | 2 | B230 | Introduction to differential calculus -Number sets, sequences and their properties - monotony, boundedness. Supremum, infimum, maximum, minimum, and a limit of a sequence. | RNDr. Eva Feuerstein, Ph.D. |

2 | 1 | Oct 28, 2019 | 8:00 | 2 | B230 | 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 | RNDr. Eva Feuerstein, Ph.D. |

3 | 1 | Oct 7, 2019 | 14:00 | 2 | B230 | Application of a limit, asymptotes of a function, continuity of a function, derivative of a function, rules for differentiation | RNDr. Eva Feuerstein, Ph.D. |

4 | 1 | Oct 14, 2019 | 14:00 | 2 | B230 | Tangent and normal lines of a function, differential of a function, derivative of composite functions, , L'Hospital’s rule. | RNDr. Eva Feuerstein, Ph.D. |

5 | 1 | Oct 21, 2019 | 14:00 | 2 | B230 | Higher order derivatives, function monotonicity, local extremes, concavity/convexity of a function, points of inflexion, investigation of function behavior. | RNDr. Eva Feuerstein, Ph.D. |

6 | 1 | Oct 28, 2019 | 14:00 | 0 | B230 | State holiday | RNDr. Eva Feuerstein, Ph.D. |

7 | 1 | Nov 4, 2019 | 14:00 | 2 | B230 | Number series, convergence, divergence, geometric series, alternating series. Criteria of convergence, Taylor’s polynomial | RNDr. Eva Feuerstein, Ph.D. |

8 | 1 | Nov 11, 2019 | 14:00 | 2 | B230 | 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. | RNDr. Eva Feuerstein, Ph.D. |

9 | 1 | Nov 18, 2019 | 14:00 | 2 | B230 | Matrices, various examples of matrices, rank of a matrix, matrix operations, square matrices and properties, inverse of a matrix | RNDr. Eva Feuerstein, Ph.D. |

10 | 1 | Nov 25, 2019 | 14:00 | 2 | B230 | 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. | RNDr. Eva Feuerstein, Ph.D. |

11 | 1 | Dec 2, 2019 | 14:00 | 2 | B230 | 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.. | RNDr. Eva Feuerstein, Ph.D. |

12 | 1 | Dec 9, 2019 | 14:00 | 2 | B230 | Matrix equations solution. Inverse matrix calculation according to the definition (via determinants). Eigenvalues and eigenvectors of square matrices. | RNDr. Eva Feuerstein, Ph.D. |

13 | 1 | Dec 16, 2019 | 14:00 | 2 | B230 | Analytical geometry in E2 plane in E3, vectors in E3 ,angle of two vectors, orthogonality, vector triple products, scalar triple product and applications. | RNDr. Eva Feuerstein, Ph.D. |

14 | 1 | Jan 6, 2020 | 14:00 | 2 | B230 | Application of determinants. Conics, quadrics and their invariants, classification of conics/quadrics. | RNDr. Eva Feuerstein, Ph.D. |

Total | 26 |