The course Math 225 is a rigorous proof-based introduction to linear algebra. Math 225 (as opposed to Math 222) is focused on the abstract aspects of linear algebra and will demand a fair amount of maturity of mathematical thinking, as opposed to just problem solving. The main topics covered will be vector spaces, linear transformations, matrices, systems of linear equations, determinants, eigenvalues, eigenvectors, diagonalization, and applications. Problem sets will consist of a mix of computational and proof-based problems.

- Lectures: TTh 9:00-10:15
- Classroom: HLH17 05
- Office: DL 406

- Quiz 1: September 20 - in class
- Midterm: October 11 - 7-9 pm HLH17 05 (the regular classroom, different time)
- Quiz 2: November 8
- Final: December 19, 9am

- Peer tutor sessions with Joy Qiu
- Sundays 7-8:30 pm in Wright Reading Room B67 (in the basement of Sterling).
- Wednesdays 7:15-9:15 pm in Wright Reading Room B67 (in the basement of Sterling).
- TA discussion sessions with Shiyue Li.
- Discussion session: Mondays 7-8pm in LOM 214
- Office Hours: Tuesdays 4-5pm in DL 415
- Guides for writing proofs can be found here.

Office hours: Tuesday 5-6pm

- Homework Set 1 - due September 6.
- Homework Set 2 - due September 13.
- Homework Set 3 - due September 20.
- Homework Set 4 - due September 27.
- Homework Set 5 - due October 4.
- Homework Set 6 - due October 11.
- Homework Set 7 - due October 25.
- Homework Set 8 - due November 1.
- Homework Set 9 - due November 8.
- Homework Set 10 - due November 15.
- Homework Set 11 - due November 29.
- Homework Set 12 - due December 7.

- Homework Set 1 - solutions.
- Homework Set 2 - solutions.
- Homework Set 3 - solutions.
- Homework Set 4 - solutions.
- Homework Set 5 - solutions.
- Homework Set 6 - solutions.
- Homework Set 7 - solutions.
- Homework Set 8 - solutions.
- Homework Set 9 - solutions.
- Homework Set 10 - solutions.
- Homework Set 11 - solutions.
- Homework Set 12 - solutions.

Week | Dates | Textbook sections |
---|---|---|

1 | 29 August - 1 September | 1.1, 1.2, Appendix C |

2 | 2 September - 8 September | 1.2, 1.3, 1.4 only the definition of linear combination |

3 | 9 September - 15 September | 1.4, 1.5 |

4 | 16 September - 22 September | 1.6, Quiz 1 |

5 | 23 September - 29 September | 1.6, 2.1 |

6 | 30 September - 6 October | 2.1 |

7 | 7 October - 13 October | 2.2, 2.3, MT 1 |

8 | 14 October - 20 October | 2.4 |

9 | 21 October - 27 October | 2.5 |

10 | 28 October - 3 November | 3.1, 3.2 |

11 | 4 November - 10 November | 3.3, 3.4, 4.1, 4.2, Quiz 2 |

12 | 11 November - 17 November | 5.1, 5.2 |

13 | 24 November - 1 December | 6.1, 6.2 |

14 | 2 December - 8 December | 6.4, Review |