This schedule is subject to revision during the term.

# | Date | Section(s) | Subject | Download |

1 | Mon, Jan 8 | 1.1 | Introduction, linear
systems | |

2 | Wed, Jan 10 | 1.2 | Solving linear systems, echelon
forms | Slides |

3 | Fri, Jan 12 | 1.3, 1.4 | Vector equations, the matrix equation Ax=b | Slides |

4 | Wed,
Jan 17 | 1.4, 1.5 | Matrix-vector product, solution sets of linear systems | Slides |

5 | Fri, Jan 19 | 1.6 | Applications of linear systems | Slides |

6 | Mon, Jan 22 | 1.7 | Linear independence | Slides |

7 | Wed, Jan 24 | 1.8 | Introduction to linear
mappings | Slides, review
sheet |

8 | Fri, Jan 26 | 1.9 | The matrix of a linear
transformation | Slides, review sheet |

9 | Mon, Jan 29 | 2.1 | Matrix operations | Slides |

I | Wed,
Jan 31 | 1.1-1.9, 2.1 | Midterm
exam I | Exam, solutions |

10 | Fri, Feb 2 | 2.2 | The inverse of a matrix | Slides |

11 | Mon, Feb 5 | 2.3, 2.5 | Characterizations of
invertible matrices, LU factorization | Slides
, review
sheet |

12 | Wed, Feb
7 | 4.1 | Vector spaces and
subspaces | Slides |

13 | Fri,
Feb 9 | 4.2 | Null spaces, column
spaces, kernels, and ranges | Slides |

14 | Mon,
Feb 12 | 4.3 | Linearly independent sets, bases | Slides |

15 | Wed,
Feb 14 | 4.5, 4.6 | Dimension, rank | Slides |

16 | Fri,
Feb 16 | 4.4, 4.7 | Coordinate
systems, change of basis | Slides |

17 | Wed,
Feb 21 | 3.1,3.2 | Determinants | Slides |

18 | Fri,
Feb 23 | 3.2, 3.3 | More on
determinants, Cramer's rule, volume, linear transformations | Slides |

19 | Mon,
Feb 26 | 2.2- | Review | Slides |

II | Wed,
Feb 28 | 2.2- | Midterm
exam II | Exam, solutions |

20 | Fri,
Mar 2 | 5.1, 5.2 | Eigenvectors and eigenvalues, the characteristic equation | Slides |

21 | Mon,
Mar 5 | 5.3 | Diagonalization | Slides |

22 | Wed,
Mar 7 | 6.1 | Inner product, length, orthogonality | Slides |

23 | Fri,
Mar 9 | 6.2, 7.1 | Orthogonal
sets, diagonalization of symmetric matrices | Slides |

24 | Mon,
Mar 12 | 6.3, 6.5 | Orthogonal
projections, least-squares problems | Slides |

25 | Wed,
Mar 14 | 6.4 | The Gram-Schmidt process | Slides |

26 | Fri, Mar 16 | 5.1- | Review | Slides |

III | Wed,
Mar 21 | 1.1- | Final
exam |
Exam |