-----------------------------------------
| Lecture | Sections | Topics |
|---|---|---|
| 9/7 | Chapter 1 | Abstract vector spaces |
| 9/12, 9/14 | Chapter 1 | Subspaces, span of subsets, linear independence |
| 9/19, 9/21 | Chapter 1 | Bases and dimension |
| 9/26, 9/28 | Chapter 2 | Linear transformations, matrix representation |
| 10/3, 10/5 | Chapter 2 | Composition, invertibility |
| 10/10 | Ch. 1-2 | Review |
| 10/12 | Ch. 1-2 | Exam 1 |
| 10/17, 10/19 | Ch. 2 & 3 | Change of basis, dual spaces; rank and systems of linear equations. |
| 10/24, 10/26 | Chapter 4 | Determinants and their properties |
| 10/31, 11/2 | Chapter 5 | Eigenvalues, eigenvectors, diagonalizability |
| 11/7, | Ch. 5 | Invariant subspaces and the Cayley-Hamilton Theorem |
| 11/9, 11/14, 11/16 | Chapter 7 | Jordan canonical form |
| 11/21 | Ch. 3-5, 7 | Review |
| 11/28 | Ch. 3-5, 7 | Exam 2 |
| 11/30, 12/5 | Chapter 6 | Inner product spaces |
| 12/7, 12/12 | Chapter 6 | Normal and self-adjoint operators, unitary and orthogonal operators |
| 12/14 | Review | |
| 12/22 | 4:00 PM - 7:00 PM | Final Exam |
| Due dates | Homework problems (due on Wednesdays) |
|---|---|
| 9/14 | 1.2 # 9, 13; 1.3, # 8 (a, e), 18, 19. |
| 9/21 | 1.4 #4(a), 5(g), 12; 1.5 #2(e), 9; 1.6 #3(a, b), 11. |
| 9/26 | 1.6 #15, 20, 26 |
| 10/3 | 2.1 #2, 3, 9, 13, 15, 17, 20; 2.2 #2(c, e, g), 5(c, g), 8, 10. |
| 10/17 | Due after midterm 1: 2.3 #13; 2.4 #2(f), 9, 10. |
| 10/24 | 2.5 #2(b), 3(d), 5, 6(c), 10; 2.6 #4; 3.1 #4, 5, 6, 7; 3.2 # 6(a); 3.2 #2(b), 3(b); 3.4 #5. |
| 10/31 | 4.1 #3(a), 5, 6, 9; 4.2 #7, 18, 20; 4.3 #15, 21, 24. |
| 11/7 | 5.1 #3(c), 4(b, h), 8, 11, 14; 5.2 #2(b, d, f), 3(b), 12 |
| 11/14 | 5.4 #2, 3, 6(d), 9 for 6(d), 10 for 6(d), 19. |
| 12/5 | 7.1 #2(d), 3(a); 7.2 # 3, 12. |
| 12/12 | 6.1 #3, 8, 10, 15; 6.2 # 2(i), 15, 16. |