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: WTS A51
- Office: DL 406, Tuesdays 4:30 - 6 pm

- Quiz 1: September 19 - in class
- Midterm: October 15 - tentatively 7-8:30 pm
- Quiz 2: November 7 - in class
- Final: December 15, 7pm

- Peer tutor sessions with Joy Qiu
- Office Hours: Sunday 1-3pm, Wednesday 7:30-9:30pm, Wright Reading Rooms (either B65 or B67) for now
- TA discussion sessions with Mikey Chow
- Discussion session: Monday, 8-9 pm, LOM 200
- Office Hours: Wednesday, 5-6 pm, DL 415
- Guides for writing proofs can be found here.
- Some excellent linear algebra videos.

Office hours: Tuesdays 4:30 - 6pm

- Midterm Review problems can be found here. In addition to those, you can also try the following exercises from the book: 1.2.17, 1.2.18, 1.3.8 a,b,f, 1.3.19, 1.4.5 f,g, 1.5.1, 1.5.2 g, 1.5.19, 1.6.4, 1.6.13, 1.6.24, 2.2.1, 2.2.2 b, 2.2.3.
- Final Review problems can be found here.

- Homework Set 1 - due September 5.
- Homework Set 2 - due September 12.
- Homework Set 3 - due September 19.
- Homework Set 4 - due September 26.
- Homework Set 5 - due October 3.
- Homework Set 6 - due October 10.
- Homework Set 7 - due October 24.
- Homework Set 8 - due October 31.
- Homework Set 9 - due November 7.
- Homework Set 10 - due November 14.
- Homework Set 11 - due November 21.
- Homework Set 12 - due December 5.

- 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 | 28 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, 2.2 |

7 | 7 October - 13 October | 2.3, 2.4 |

8 | 14 October - 20 October | 2.4, MT 1 |

9 | 21 October - 27 October | 2.5, handout |

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 | 18 November - 24 November | 6.1, 6.4, 6.6 |

14 | 2 December - 8 December | 6.6, 6.2, Review |