Syllabus

Introduction to Linear Algebra; Spring 2018; MTH215

The following calendar gives a timetable for the course. Your class may be slightly behind or ahead at any given time. Below the calendar is a list of sections in the textbook**" Linear Algebra and Its Applications 5th Ed", by David C. Lay, Steven R. Lay, Judi J. McDonald, Pearson, Pearson, 2015. ISBN-10: 032198238X; ISBN-13: 978-1118233788**Some of these may be done in class, others as homework. You should attempt them all. (Note: In the problem lists, a notation like 3-9 means that all the problems 3,4,5,6,7,8,9 are assigned.)

Week | Events | Section | Problems |

Jan 22 | Introduction | 1.1 | 1, 2, 7, 8, 11, 13, 19-22, 25, 30, 31, 32 |

Jan 29 | Row Reduction Vector Equations |
1.2 1.3 |
1, 3, 7-12 15, 17,20, 23, 28 1, 3, 5, 11, 13, 17, 19, 25 |

Feb 5 | Matrix Equation Solution Set of Linear System |
1.4 1.5 |
1, 3, 5, 9, 12, 13, 15, 17, 21, 25, 32 3, 5, 9, 11, 13, 17, 19, 21, 29-33 |

Feb 12 | Linear Independence Linear Transformations |
1.7 1.8 |
3, 5, 7, 9, 13, 15, 16, 19, 26, 27, 33 1, 3, 7, 9, 11, 13, 17, 19, 27, 31, 32 |

Feb 12 | Last day to drop course | ||

Feb 19 | Matrix of a Linear Transformation | 1.9 | 1, 2, 5, 7, 9, 17, 19 |

Feb 22 | project 1 due | Practice | |

Feb 26 | Exam 1 | Exam 1 2.1 |
1, 3, 5, 7, 9, 13, 17, 23, 24, 27 |

Mar 5 | Inverse of Matrices | 2.2 | 1, 3, 5, 7, 8, 12, 13, 17, 18, 24, 31, 33 |

Mar 12 | Spring Break cofactor | ||

Mar 19 | Invertible Matrices Determinants |
2.3 3.1&3.2 |
1, 3, 7, 8, 9, 13, 15-17, 22 1, 3, 5, 9, 11, 13, 20, 21, 25, 33-36 |

Mar 26 | Exam 2 | 4.1 | 1, 3, 7, 9, 13, 17, 21, 23, 24 |

Apr 2 | Null Space Basis |
4.2 4.3 |
1, 3, 5, 7, 10, 17, 19, 23, 27 1, 3, 5, 9, 11, 15, 19, 23, 24, 37 |

Apr 9 | Dimension of Vector Space Change of Basis |
4.5 4.6 |
1, 3, 5, 7, 11, 13, 17, 21, 22 1, 3, 5, 7, 11, 25, 26, 31 |

Apr 16 | Eigenvectors Characteristic Equation |
5.1 5.2 |
1, 3, 5, 7, 9, 13, 17, 19, 25, 26, 38 1, 3, 7, 9, 10, 15, 18, 23 |

Apr 23 | Exam 3; Project 3 due | ||

Final Exam |