The books below are in the spirit of the recommended text "Nuts and Bolts of Proof." If you find that book helpful, you might consider ordering one or more of these from someplace like Amazon.com or FatBrain (these are listed in order of my familiarity with them, which may not be the same order I would recommend them in).

- Thinking Mathematically, Mason/Burton/Stacey
- How to Read and Do Proofs, Solow
- How to Prove It: A Structured Approach, Velleman
- Mathematical Thinking: Problem-Solving and Proofs, West/D'Angelo
- Proofs and Fundamentals: A First Course in Abstract Mathematics, Bloch

- Tom Judson's notes on elementary linear algebra, with a MATLAB primer
- Texas Instrument TI-86 Guidebook
- Math Forum Linear Algebra Pages
- A 2-D Eigenvalue Demonstration
- Echelon Form

**Homework exercises**

Section | Page | Computational | Theoretical |
---|---|---|---|

1.1 | 11 | 1, 2, 8, 11, 14, 27, 31, 34, 42 | 38 |

1.2 | 24 | 3, 5, 8, 13, 15, 17, 21, 23, 27, 29, 31, 38, 47, 49, 53 | |

1.3 | 36 | 1, 3, 5, 6, 7-19 odd, 25 | |

1.5 | 57 | 1, 3, 7, 11, 15, 23, 31, 33, 34, 35, 40, 45, 55, 63 | 59, 60, 67 |

1.6 | 68 | 1, 3, 5, 17, 21, 26, 27, 30, 31, 32 | 44, 46, 47 |

1.7 | 78 | 1-13 odd, 17, 23, 27, 30, 41, 43 | 47, 49, 50, 51 |

1.9 | 102 | 3, 7, 19, 23, 29, 37, 39 | 52, 53, 54, 56, 66 |

2.1 | 116 | 5, 7, 13, 15, 23, 25, 28 | |

2.2 | 124 | 3, 5, 7, 15, 17 | 18, 21, 27, 30, 31, 32 |

2.3 | 137 | 15, 17, 19, 21, 25, 27-35 odd, 39, 41, 47 | 50, 51, 52 |

2.4 | 150 | 1, 3, 7, 9, 11, 13, 19, 23, 27, 33 | 30, 38 |

2.5 | 162 | 7, 8, 9, 17, 23, 25, 27, 29 | 30, 31, 32, 36, 38, 40 |

2.6 | 174 | 3, 5, 9, 12, 13 | 22, 25, 28 |

2.7 | 190 | 1ab, 2ab, 3ab, 5, 7, 11, 13, 15, 17, 19, 29 | 33, 37, 38 |

3.2 | 237 | 1-4, 7, 9, 11, 17, 18, 19 | 23, 24, 33, 34 |

3.1 | 229 | 3, 5, 7, 9, 15 | 17, 19 |

3.4 | 254 | 3, 5, 7, 9, 13, 21 | 15, 25, 30 |

3.5 | 262 | 3, 5, 7, 9, 13, 17, 19, 27 | 21, 22, 23, 24, 25, 28, 29 |

3.6 | 273 | 7, 9, 11, 15, 21, 23, 33 | 36, 37, 38, 40, 41 |

3.7 | 285 | 3, 5, 7, 15, 17, 21 | 25, 26, 27, 29, 30, 43 |

4.2 | 314 | 1, 2, 3, 5, 9, 11, 13, 15, 18, 19 | 21, 34, 36 |

4.3 | 321 | 1, 3, 5, 7, 9, 13, 17, 19, 23, 27, 32 | 28, 29, 30 |

4.4 | 334 | 1, 3, 5, 7, 13, 14, 15, 17, 19, 21, 24, 27, 31 | 32, 36, 37, 38 |

4.5 | 338 | 1, 4, 5, 7, 9, 11, 13 | 2, 17, 18 |

4.7 | 358 | 5, 7, 9, 13, 16, 17 | 18, 19, 20, 21, 22, 26 |

4.8 | 366 | 1-6, 7, 9, 11 | 18, 19, 20, 21, 23-28 |

4.9 | 377 | 1-10, 13, 14-16, 19 | 28, 30 |

4.10 | 386 | 1, 3, 6, 9, 10, 11, 15, 16 | 17, 18, 19, 20 |

Rob Beezer, beezer@ups.edu, Spring 2002.