General Information | Syllabus | HW Assignments |

On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.

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

1/5 | introduction, induction | |

1/7 | 1.1, 1.2 | vector spaces |

1/9 | 1.3 | subspaces |

1/10 | No class today | |

1/12 | 1.4 | linear combinations |

1/13 (x-hour) | 1.5 | linear dependence and independence |

1/14 | 1.6 | bases and dimension |

1/16 | 2.1 | linear transformations |

1/19 | MLK day; no class today | |

1/20 (x-hour) | 2.1 | linear transformations |

1/21 | 2.2 | linear transformations and matrices |

1/23 | 2.3 | composition of transformations and matrix multiplication |

1/26 | 2.4 | invertibiity and isomorphism |

1/27 (x-hour) | Exam I, in-class portion | |

1/28 | 2.5 | change of basis |

1/30 | 3.1 | elemetary matrix operations |

2/2 | 3.2 | matrix rank and inverse |

2/4 | 3.3 | systems of linear equations |

2/6 | 3.4 | systems of linear equations |

2/9 | 4.1,4.2 | matrix determinants |

2/10 (x-hour) | 4.3,4.4 | properties of determinants |

2/11 | 5.1 | eigenvalues and eigenvectors |

2/13 | Winter carnival; no class today | |

2/16 | 5.2 | diagonalizability |

2/17 (x-hour) | 5.3 | matrix limits and Markov chains |

2/18 | 5.4 | invariant subspaces, the Cayley-Hamilton theorem |

2/20 | 6.1 | inner products and norms |

2/23 | 6.2 | orthogonalization, orthogonal complements |

2/24 (x-hour) | Exam II, in-class portion | |

2/25 | 6.3 | adjoint of a linear operator |

2/27 | No class today | |

3/1 | 6.4 | normal and self-adjoint operators |

3/2 (x-hour) | 6.5 | unitary and orhogonal operators |

3/3 | 6.6 | orthogonal projections, the spectral theorem |

3/5 | No class today | |

3/8 | conclusion |

Marcia J. Groszek

Last updated May 31, 2008 12:24:21 EDT