General Information | Syllabus | HW Assignments | Links |

Lectures | Sections in Text | Brief Description |
---|---|---|

9/20 | 1.1, Appendix A | Introduction and basic set theory |

9/21 x-hour | What is a mathematical proof? | |

9/22 | 1.2, Appendix C | Fields and vector spaces |

9/25 | 1.2,1.3 | Vector spaces and subspaces |

9/27 | 1.3,1.4 | Subspaces and linear combinations |

9/28 x-hour | Mathematical induction | |

9/29 | 1.4, 1.5 | Generating sets, Linear dependence and independence |

10/2 | 1.6 | Bases and dimension |

10/4 | 1.6 | Bases and dimension |

10/5 x-hour | Review--come prepared with questions | |

10/6 | 2.1 | Linear transformations |

10/9 | 2.1 | Nullspace and range |

10/11 | 2.2 | Matrix representations |

10/12 x-hour | Exam 1 | |

10/13 | 2.3 | Compositions of linear transformations |

10/16 | 2.4 | Invertibility and isomorphisms |

10/18 | 2.4,2.5 | Isomorphisms; Change of coordinate matrix |

10/19 x-hour | no class | |

10/20 | 2.5,3.1 | Change of basis; Elementary matrices |

10/23 | 3.2 | Rank of matrices |

10/25 | 3.2 | Inverses of matrices |

10/26 x-hour | Review of Chapter 2 | |

10/27 | 3.3 | Systems of linear equations |

10/30 | 3.4 | Gaussian elimination |

11/1 | 4.1, 4.2 | Determinants |

11/2 x-hour | Exam 2 | |

11/3 | 4.2, 4.3 | Properties of determinants |

11/6 | 5.1 | Eigenvalues and eigenvectors |

11/8 | 5.1, 5.2 | Diagonalizability |

11/9 x-hour | no class | |

11/10 | 5.2 | Diagonalizability |

11/13 | 5.3 | Matrix limits and Markov chains |

11/15 | 5.4 | Invariant subspaces and the Cayley-Hamilton theorem |

11/16 x-hour | TBD | |

11/17 | 6.1 | Inner products and norms |

11/20 | 6.2 | Gram-Schmidt orthogonalization |

11/22 | No class | Thanksgiving break |

11/23 x-hour | No class | Thanksgiving break |

11/24 | No class | Thanksgiving break |

11/27 | 6.2 | Orthogonal complement and orthogonal projection |

11/29 | 6.3 | Least squares approximation |

11/30 x-hour | Review session for final | |

12/1 | No class | Reading period |

12/3 | Final exam | 3 - 6 pm, Carson 60 |

Stephanie Treneer

Last updated November 29, 2006 09:19:45 EST