Schedule

Week #1:
Aug 25 - 29 |
Systems of Linear Equations (1.1)
Row Reduction and Echelon Forms (1.2) Vector Equations (1.3) |

Week #2:
Sept 3 - 5 |
The Matrix Equation Ax = b (1.4)
Solution Sets of Linear Systems (1.5) |

Week #3:
Sept 8 - 12 |
Applications of Linear Systems (1.6)
Linear Independence (1.7) |

Week #4:
Sept 15 - 19 |
Introduction to Linear Transformations (1.8)
The Matrix of a Linear Transformation (1.9) Matrix Operations (notes)(2.1) The Inverse of a Matrix (2.2) |

Week #5:
Sept 22 - 26 |
Exam #1 will be given during the lecture hour
on
Monday, Sept 22.
Characterizations of Invertible Matrices (2.3) Applications in Computer Graphics (2.7) |

Week #6:
Sept 29 - Oct 3 |
Subspaces of R^n (2.8)
Dimension and Rank (2.9) |

Week #7:
Oct 6 - 10 |
Introduction to Determinants (3.1)
Properties of Determinants (3.2) |

Week #8:
Oct 13 - 15 |
Eigenvectors and Eigenvalues (5.1)(notes) |

Week #9:
Oct 20 - 24 |
The Characteristic Equation (5.2)
Diagonalization (5.3) Exam #2 will be given during the lecture hour on Friday, Oct 24. (Exam 2 Review Sheet) (pdf) (Solutions to Exam 2 Review Sheet) (pdf) |

Week #10:
Oct 27 - 31 |
Complex Eigenvalues (5.5)
Discrete Dynamical Systems (5.6) The Power Method (5.7) |

Week #11:
Nov 3 - 7 |
Inner Product, Length, and Orthogonality (6.1)
Orthogonal Sets (6.2) |

Week #12:
Nov 10 - 14 |
Orthogonal Projections (6.3)
The Gram-Schmidt Process (6.4) Four-Dimensional Geometry (NOT in the book) |

Week #13:
Nov 17 - 21 |
Linear algebra in combinatorics (NOT in the book) (notes)
Diagonalization of Symmetric Matrices (7.1) Quadratic Forms (7.2) |

Week #14:
Nov 24 |
Exam 3 will be given during the lecture hour
on Monday, Nov 24.
(Exam 3 Review Sheet) (Exam 3 Review Sheet Solutions) |

Week #15:
Dec 1 - 5 |
The Singular Value Decomposition (7.4) |

Finals:
Dec 11 |
Final Exam will be given in Baker Hall 136A
from 1-4 PM on Thursday Dec 11. (Final Review Sheet) (Final Review Sheet Solutions) |