Schedule
Below is a tentative schedule for sections meeting on Monday and Wednesday. Section 2 (Kulkarni) will typically be one class meeting ahead (e.g. lecture on Thurs, Sept 19 will cover the topics listed for Mon, Sept 23 on the schedule).
| Week | Day | Date | Topic | Chapter(s) | Suggested problems |
|---|---|---|---|---|---|
| 1 | Mon | Aug 26 | Differential equations | 1.1-1.2 | 1.1: 1, 3, 5, 9, 11, 15, 17, 19, 21, 23 1.2: 2, 4, 5, 8, 13, 14, 16, 18, 19, 22, 23, 27, 32, 37, 41 |
| 1 | Wed | Aug 28 | Geometry of first-order DEs | 1.3 | 2, 3, 6, 11, 17, 19, 22, 24 |
| 2 | Mon | Sep 2 | Labor Day | ||
| 2 | Wed | Sep 4 | Separable DEs | 1.4 | 4, 7, 9, 12, 14, 20, 23, 29, 30 |
| 3 | Mon | Sep 9 | First-order linear DEs | 1.6-1.7 | 1.6: 3, 6, 7, 11, 13, 16, 19, 22, 28, 29 1.7: 1, 3, 5, 6, 7, 8 |
| 3 | Wed | Sep 11 | Matrices | 2.1 | 4, 7, 11, 14, 20, 24, 25, 28, 30 |
| 4 | Mon | Sep 16 | Matrix algebra | 2.2 | 1, 3, 8, 9, 11, 13, 16, 42, 44, 46 |
| 4 | Wed | Sep 18 | Systems of linear equations | 2.3 | 3, 6, 9, 11, 12, 18, 21 |
| 5 | Mon | Sep 23 | Elementary row operations | 2.4 | 1, 2, 4, 7, 10, 12, 18, 21, 26 |
| 5 | Wed | Sep 25 | Gaussian elimination | 2.5 | 4, 8, 12, 14, 17, 20, 23, 26, 36, 38, 46, 48, 52, 56 |
| 6 | Mon | Sep 30 | Theory of SLEs | 2.5 | |
| 6 | Wed | Oct 2 | Matrix inverses | 2.6 | 5, 9, 10, 16, 23, 25, 29 |
| 7 | Mon | Oct 7 | Determinants | 3.1-3.2 | 3.1: 9, 11, 13, 15, 17, 21 3.2: 5, 7, 9, 13, 15, 21, 23, 37, 39 |
| 7 | Tue | Oct 8 | Midterm exam 1 (8:00 AM) | ||
| 7 | Wed | Oct 9 | Cofactor expansion | 3.3 | 5, 7, 9, 11, 13, 15, 17, 19 |
| 8 | Mon | Oct 14 | Fall break | ||
| 8 | Wed | Oct 16 | Vector spaces | 4.1-4.2 | 4.1: 1, 3, 4 4.2: 1, 3, 5, 7, 11, 13 |
| 9 | Mon | Oct 21 | Subspaces | 4.3 | 3, 5, 7, 9, 15, 19, 21 |
| 9 | Wed | Oct 23 | Linear combinations & spanning sets | 4.4 | 1, 3, 5, 9, 13, 15, 17, 23, 27 |
| 10 | Mon | Oct 28 | Linear independence | 4.5 | 1, 3, 7, 9, 13, 15, 21, 23, 27, 31, 33, 35, 39 |
| 10 | Wed | Oct 30 | Bases and dimension | 4.6 | 3, 5, 11, 13, 15, 21, 23, 27, 33 |
| 11 | Mon | Nov 4 | Row/column space & rank-nullity | 4.8-4.9 | 4.8: 1, 3, 5, 7, 9 4.9: 1, 3, 7, 9, 11, 13, 17 |
| 11 | Wed | Nov 6 | Linear transformations | 6.1 | 1, 6, 7, 9, 13, 15, 17, 19, 23, 27, 30 |
| 12 | Mon | Nov 11 | Kernel & range | 6.3 | 1, 3, 5, 12, 14, 15 |
| 12 | Wed | Nov 13 | Eigenvalues & eigenvectors | 7.1-7.2 | 7.1: 9-25 odd 7.2: 1-15 odd |
| 12 | Thu | Nov 14 | Midterm exam 2 (8:00 AM) | ||
| 13 | Mon | Nov 18 | Linear homogeneous DEs | 8.1-8.2 | 8.1: 9-12, 21-27 odd, 31, 33 8.2: 5-35 odd |
| 13 | Wed | Nov 20 | Linear nonhomogeneous DEs | 8.3 | 1-11 odd, 17, 19, 21, 25, 27 |
| 14 | Mon | Nov 25 | Oscillations | 8.5 | 5, 7, 9, 23, 24, 25, 28, 29 |
| 14 | Wed | Nov 27 | Thanksgiving recess | ||
| 15 | Mon | Dec 2 | Linear systems of DEs | 9.1-9.2 | 9.1: 2, 5, 8, 10, 13, 14, 18 9.2: 1, 4, 5, 7, 8, 12 |
| 15 | Wed | Dec 4 | Linear systems of DEs | 9.3-9.4 | 9.3: 1, 3, 5 9.4: 1-15 odd |
| 16 | Mon | Dec 9 | Catch-up/review | ||
| 16 | Fri | Dec 13 | Final exam (4:00 PM) |