Since it is very important to keep up with the pace of the course, students should work on the recommended exercises of every lecture before the following lecture. Questions on the midterm and final exams will be similar to the recommended exercises. Thus, students are strongly encouraged to work through all of the recommended exercises.
To see the link to the list of exercises, you should usually scroll down to the bottom of the HTML. Clicking on the link will open a minipage which contains the exercises as well as solutions to a.
If you are having difficulty with solving the exercises, you can seek guidance at the Math Help Centre or during the professor's office hours.
Lecture slides will be posted on this page as the course unfolds. The links to lecture videos will be posted on Blackboard Learn.
| Date | Section | Notes | Topics | Recommended Exercises |
| Background on sets, notation, and logic. | N/A | |||
| Jan 11 | WILA | Lec 1 | Solving systems of linear equations, echelon forms. |
WILA: Reading Questions 1, 2. SSLE: C30. |
| Jan 14 | SSLE, RREF | Lec 2 | Row reduction algorithm, general solutions of linear systems. |
SSLE: C31–C50. RREF: C10–C19. |
| Jan 18 | RREF, TSS | Lec 3 | General solutions of linear systems (cont.), existence and uniqueness of solutions, vectors. |
RREF: C30–C33 TSS: C21–C28, M51–M57. |
| Jan 21 | VO, LC, SS | Lec 4 | Vector equations, linear combinations, span. | VO: C10–C15.
LC: C21. SS: C40–C45. |
| Jan 25 | RREF | Lec 5 | Matrix equations, network flow. | LC: C22–C41, M10. SS: C40–C45. Network flow |
| Jan 28 | HSE, LC | Lec 6 | Solution sets of linear systems, vector parametric descriptions. |
HSE: C10, C21–C27, T10. LC: C21–C41, M10. |
| Feb 1 | LI | Lec 7 | Linear independence. | LI: C20–C25, C50. |
| Feb 4 | First Midterm Exam Based on Lectures 1–6 |
|||
| Feb 8 | MO, MM | Lec 8 | Matrix addition, scalar multiplication, matrix multiplication. | MO: C10 (1,2,5,6), C11–C14. MM: C20–C30. |
| Feb 11 | MISLE, MINM | Lec 9 | Transposes, matrix inverses. | MO: C10 (3,4,7,8,9). MISLE: C21–C25. |
| Feb 15 | MISLE, MINM | Lec 10 | Matrix inverses (continued). | MISLE: C16–C19, C26–C42. MINM: C40. |
| Feb 18 | See lecture slides | Lec 11 | Leontief Input-Output model. | |
| Feb 22 | Reading Week | |||
| Feb 25 | Reading Week | |||
| Mar 1 | S, LISS, B | Lec 12 | Subspaces of Rn. | S: C15–C17, C25, C26 (replace C by R). |
| Mar 4 | Second Midterm Exam Based on Lectures 1–11 |
|||
| Mar 8 | D, PD, HSE | Lec 13 | Dimension, rank, column space, null space. | D: C20, C21 (replace C by R), C30–C37. HSE: C20, C30, C31. |
| Mar 11 | DM | Lec 14 | Determinants. | DM: C21–C30, M10–M15. |
| Mar 15 | PDM | Lec 15 | Properties of determinants. | PDM: C30, M30. |
| Mar 18 | CNO | Lec 16 | Complex Numbers | Exercises (Answers). |
| Marc 22 | EE, PEE | Lec 17 | Eigenvectors and eigenvalues. Course evaluation |
None until Lecture 18 |
| Mar 25 | Third Midterm Exam Based on Lectures 1–16 |
|||
| Mar 29 | EE, PEE | Lec 18 | The characteristic equation. | EE: C10–C27. |
| Apr 1 | SD | Lec 19 | Diagonalization. | SD: C20, C21, T15–T17. |
| Apr 5 | Lec 20 | Difference equations, Markov Chain. | ||
| Apr 8 | Lec 21 | Review. |