Linear Algebra

Time: On Mondays from 13:15-14:45Place: Seminarraum 16, Oskar-Morgenstern-Platz 1, 3rd floor

Correct Textbook: Lineare Algebra und Analysis - Skriptum zu den Vorlesungen im BA-Studium Statistik von I. Bomze

Mid-term Test: 25th Nov 2015, 16:45-18:15 Hörsaal 1

End-term Test: 16th Dec 2015, 16:45-18:15 Hörsaal 1

Replacement Test: 13th Jan 2016, 16:45-18:15 Hörsaal 13

5 October | Lesson 1 | Introduction; Sets of numbers; Set operations; Review
about types of proofs (Direct, Indirect, Mathematical induction); Obligatory homeworks are Exercises 1 - 7 in
section 4: Lesson 1 and Homeworks for 12th Oct |

12 October | Lesson 2 | Vectors, linear combinations, scalar product,
orthogonality, subspaces Homeworks for 19th Oct |

19 October | Lesson 3 | Linear (in)dependence, spanning set, basis Homeworks for 30th October with explanations and worked-out examples |

26 October | National holiday - No lesson | |

30 October | Lesson 4 | Matrix operations, Rank, Gauss elimination, Linear equation systems, Matrix inverse Homeworks for 9th November |

2 November | Teaching-free day - No lesson | |

9 November | Lesson 5 | Linear operations and their matrix representations,
determinant, inverse Homeworks for 16th November |

16 November | Lesson 6 | Determinants, vector decomposition to parallel and
perpendicular components Homeworks for 23rd November Highlights for the Test |

23 November | Lesson 7 | Linear Equation Systems Reduced amount of Homework for 30th November |

30 November | Lesson 8 | Eigenvalues, eigenvectors Homework for 7th December |

7 December | Lesson 9 | Algebraic and geometric multiplicity of eigenvalues,
symmetric matrices, diagonalizable matrices Homework for 14th December |

14 December | Lesson 10 |