Fall 2023

A draft copy of the Syllabus.

Date Due | Expected Discussion |
---|---|

8/21 | 1.1: Systems of linear equations |

8/23 | 1.2: Row reduction and echelon forms |

8/25 | 1.3: Vector equation |

8/28 | 1.4: The matrix equation Ax=b |

8/30 | 1.5: Solution sets of linear systems |

9/1 | 1.7: Linear independence |

9/6 | 1.8: Introduction to linear transformations |

9/8 | 1.9: The matrix of a linear transformation |

9/11 | 1:10: Linear models in business, science, and engineering |

9/13 | 2.1: Matrix operations |

9/15-9/18 | 2.2: The inverse of a matrix |

9/20 | 2.3: Characterizations of inverible matrices |

9/22 | 2.8: Subspaces of Rn |

9/25 | 2.9: Dimension and rank |

9/27 | Review! |

9/29 | Exam 1 |

10/2 | 3.1: Introduction to determinants |

10/4 | 3.2: Properties of determinants |

10/6-10/9 | 3.3: Cramer's rule, volume, and linear transformations |

10/11 | 5.1: Eigenvalues and Eigenvectors |

10/13 | 5.2: The characteristic equation |

10/16 | 5.3: Diagonalization |

10/18 | 5.4: Eigenevectors and linear transformations |

10/20 | 5.5: Complex eigenvalues |

10/25 | 5.6: Discrete Dynamical Systems |

10/27 | 6.1: Inner product, length, and orthogonality |

10/30-11/1 | 6.2: Orthogonal sets |

11/3 | 6.3: Orthogonal projections |

11/6 | 6.4: The Gram-Schmidt process |

11/8 | Review! |

11/10 | Exam 2 |

11/13 | 6.5: Least-squares problems |

11/15 | 6.6: Machine learning and linear models |

11/17 | 4.1: Vector spaces and subspaces |

11/20 | 4.2: linear transformations |

11/27 | 4.3: Linearly independent sets, bases |

11/29 | 4.4: Coordinate systems |

12/1 | 4.5: The dimension of a vector space |

12/4 | Review |

12/6 | Review |