| Set | due | topic | section | pages | problems |
|
Friday April 29, noon to 2 pm ---- or ---- Wednesday May 4, 3-5 pm | Final exam, in our usual classroom. The exam may omit some of the topics below (since two hours is not enough to test on all of it), but you won't know in advance which topics are omitted; all the topics listed below are fair game. Topics 14 through 19 are particularly likely to be included on the exam, since I did not have an opportunity to test you on those in any of our previous tests. | ||||
| 19 | not collected | more about power series -- document distributed in class, or download here | Know the material on finding the coefficients (page 1 and the first half of page 2); also, know the geometric and exponential series. For finding radii of convergence, you may skip the material about limsups and the root test, but I expect you to know the ratio test and the technique with alternating coefficients (the last paragraph of the document). | ||
| 18 | Tues Apr 19 | Frobenius series | 6.2 | 257 | 16 and 20 |
| 17 | Thurs Apr 14 | power series | 6.1 | 248 | 22, 32 |
| 16 | Tues Apr 12 | power series | 6.1 | 248 | 20, 28 |
| 15 | Thurs Apr 7 | systems | 4.8 | 182-183 | 3, 7 |
| T3 | Thurs Mar 31 | Test 3. Topics on topics from homework sets 9 through 13, listed below. | |||
| 14 | Tues Mar 29 | nonhomogeneous problems | 4.5 | 167 | 56, 58, 68. (Note that 68 has initial conditions.) |
| 13 | Thurs Mar 24 | more nonhomogeneous problems | 4.5 | 167 | 46, 50, 62 |
| 12 | Tues Mar 22 | nonhomogeneous problems | 4.5 | 167 | 38, 40 |
| 11 | Tues Mar 15 | annihilators | 4.5 | 166-167 | 20, 22, 26. |
| 10 | using complex exponentials in differential equations | 4.3 | 147-148 | 16, 20, 26 | |
| 4.7 | 178 | 14 | |||
| T2 | Tues Mar 1 | Test 2 will cover material similar to homework sets 6 through 8, listed below. | |||
| 9 | Thurs Feb 24 | complex numbers | distributed in class, or download here | Problems # (16), (17), (18) | |
| 8 | Tues Feb 22 | Problems # (1), (3), (6), (8), (10), (12) | |||
| 7 | Thurs Feb 17 | Cauchy-Euler (homogeneous, no repeated roots, no complex roots) | 4.7 | 178 | 8, 10 |
| reduction of order | 4.2 | 142 | 16 | ||
| constant coefficient (with repeated roots) | 4.3 | 148 | 34 | ||
| 6 | Tues Feb 15 | The easiest constant-coefficient problems | 4.3 | 147-148 | 2, 4, 8, 32 |
| T1 | Thurs Feb 10 | Test 1 (postponed from Feb 8). Topics correspond to homework sets 1 through 5, listed below. | |||
| 5 | Thurs Feb 3 | linear | 2.3 | 65 | 10, 16 |
| Bernoulli | 2.5 | 78 | 16, 22 | ||
| 4 | Tues Feb 1 | Exact equations | 2.4 | Page 73 problems 8 and 22, plus all three problems on the supplement given in class (or download here) | |
| 3 | Tues Jan 25 | Affine; homogeneous | 2.5 | 78 | 6, 14, 26, 28 |
| 2 | Thurs Jan 20 | Separation of variables | 2.2 in the textbook | 54-55 | 4, 8, 20, 26 |
| given the solution, find the differential equation | document given in class, or download here | 8 | (F), (G), (H), (J) | ||
| 1 | Tues Jan 18 | n-parameter families of curves | 3-4 | (A) through (E) | |