2008 June 2 / E-Mail Me

We largely follow the textbook (Bretscher, *Linear Algebra With Applications*, 3rd edition), but we mix in as many additional applications as possible. Problems marked in **bold** must be handed in. Do the other problems, but do not hand them in. Remember that this quantity of problems is the *minimum* that I recommend to *pass* the course.

Day | Topic | Reading | Problems | Hand-In Day |
---|---|---|---|---|

01 M 3/31 | solving linear systems | 1.1 | 1.1 #02, 04, 10, 15, 18, 19, 22, 28, 29, 37, 40 | 03 |

02 W 4/02 | row reduction | 1.2 | 1.2 #09, 10, 18, 24, 29, 32, 34, 36, 42 | 06 |

03 F 4/04 | matrix algebra I | 1.3 | 1.3 #04, 05, 07, 14, 18, 24, 28, 29, 30, 47, 48, 51, 54, 58 | 06 |

04 M 4/07 | linear transformations | 2.1 | 2.1 #02, 03, 05, 07, 18, 20, 32, 35, 37, 44, 48 | 06 |

05 W 4/09 | geometry of transformations | 2.2 | 2.2 #03, 05, 14, 16, 24, 27, 29, 33, 40, 42 | 09 |

06 F 4/11 | inverse transformations | 2.3 | 2.3 #04, 19, 28, 34, 40, 41, 45, 54 | 09 |

07 M 4/14 | matrix algebra II | 2.4 | 2.4 #07, 11, 12, 16, 23, 28, 35ab, 39, 44, 57, 72, 84, 86 | 09 |

08 W 4/16 | image, kernel | 3.1 | 3.1 #05, 06, 18, 20, 33, 35, 36, 43, 44, 45, 48 | 10 |

09 F 4/18 | span, independence | 3.2 | 3.2 #06, 15, 19, 24, 30, 36, 37, 39, 42, 46, 53, 54 | 12 |

10 M 4/21 | basis, dimension | 3.3 | 3.3 #16, 23, 32, 35, 43, 44, 47, 52, 61, 62, 63 | 12 |

11 W 4/23 | EXAM 1 (DAYS 1-8) | |||

12 F 4/25 | coordinates | 3.4 | 3.4 #08, 17, 25, 29, 40, 49, 52, 57, 61, 66, 73, 74, 76 | 15 |

13 M 4/28 | vector spaces | 4.1 | 4.1 #03, 06, 19, 22, 26, 39, 44, 45, 47, 54 | 15 |

14 W 4/30 | linear transformations | 4.2 | 4.2 #09, 17, 26, 33, 48, 55, 62, 72, 74, 77, 78, 81 | 17 |

15 F 5/02 | matrices for transformations | 4.3 | 4.3 #02, 05, 15, 16, 19, 54, 59, 70 | 17 |

-- M 5/05 | midterm break | |||

16 W 5/07 | orthonormality | 5.1 | 5.1 #06, 12, 15, 18, 27, 37, 42, 45 | 20 |

17 F 5/09 | Gram-Schmidt | 5.2 (omit QR) | 5.2 #14, 29, 33 | 20 |

18 M 5/12 | orthogonal transformations | 5.3 | 5.3 #06, 09, 10, 15, 16, 27, 30, 31, 38, 42, 52, 53 | 20 |

19 W 5/14 | least squares | 5.4 | 5.4 #04, 07, 09, 20, 30, 36, 39 | 23 |

20 F 5/16 | inner products | 5.5 | 5.5 #01, 06, 09, 18, 20, 26 | 23 |

determinants | 6.1 | 6.1 #07, 25, 28, 38, 43, 44, 49, 57 | 23 | |

21 M 5/19 | properties of determinants | 6.2 | 6.2 #05, 17, 23, 37, 41, 51 | 23 |

geometry of determinants | 6.3 (until Cramer) | 6.3 #04, 14, 18, 19, 20, 46 | 23 | |

22 W 5/21 | intro to eigenstuff | 7.1 | 7.1 #01, 02, 03, 04, 05, 06, 07, 08, 18, 19, 34 | 26 |

23 F 5/23 | computing eigenvalues | 7.2 | EXAM 2 (DAYS 1-21) IN PROGRESS | |

24 M 5/26 | computing eigenvectors | 7.3 | EXAM 2 STILL IN PROGRESS | |

25 W 5/28 | diagonalization | 7.4 | 7.2 #12, 29, 43 7.3 #09, 20 7.4 # 16, 26, 59232.jordan.pdf # 01, 02, 03 | 28 |

26 F 5/30 | complex eigenvalues | 7.5 | 7.5 #19, 25, 32, 36 | 28 |

27 M 6/02 | spectral theorem | 8.1 | 8.1 #11, 12, 23, 24, 36 | never |

28 W 6/04 | conclusion | |||

-- M 6/09 | FINAL EXAM (3:30-6:00) |