Linear Algebra and Matrix Theory
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.
Course info
- Lectures: TTh 9:00-10:15
- Classroom: HLH17 05
- Office: DL 406
Syllabus
You can find the syllabus here.Exams
- 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
Resources
While a concept can be obvious to some it can be completely mysterious to others. Moreover, different instructors will emphasize different points of the material. This is why it is very useful to hear the material discussed by someone else even if you think you understand everything taught in class! So I encourage you to visit the discussion sessions. Spending more time with challenging concepts always pays off. Bellow you can find a list of the available resources for this class. Take advantage of them! Of course, these are the perfect places to visit if you struggle with a concept, if the lectures/homework don't make sense or if you just have a small question regarding the material:- 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
If you need help with the course or you have questions regarding the material or the homeworks or you would just want to pick up your homework, please don't hesitate to stop by my office or write me an email. If the time is inconvenient you can arrange an appointment.Office hours: Tuesday 5-6pm
Review Materials
Homework Sets
- 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.
Solutions to Homeworks
- 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.
Schedule
| 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 |