Homework problems must be turned in at the start of class on the due date. If you can not attend, you may submit your homework as a PDF document before the start of class by email.
| Date due: | Assigned problems: |
| Mon, Feb 5 | Homework 1: Turn in: Lebl §7.1: 4, 6, 7, 9 Turn in: Lebl §7.2: 5, 7, 10 Do: Lebl §7.2: 8, 9, 14 Please complete this Mathematical Background Survey. Note that the problems listed “Do” will not be collected. They were suggested because I feel they will be good practice in addition to the problems I am collecting. |
| Wed, Feb 14 | Homework 2: Turn in: Lebl §7.3: 5, 9 Turn in: Lebl §7.4: 2, 6, 10 Do: Lebl §7.3: 8, 11, 13 Do: Lebl §7.4: 14 |
| Wed, Feb 21 | Homework 3: Turn in: Lebl §7.1: 8 Turn in: Lebl §7.4: 15 Turn in: Lebl §7.5: 5, 6 |
| Wed, Feb 28 | Homework 4: Turn in: Lebl §7.5: 7, 8, 10 (parts a, c), 11, 17 (parts c) Do: Lebl §8.1: 3, 4, 7 |
| Mon, Mar 11 | Homework 5: Turn in: Lebl §8.1: 1, 8, 12, 15 Turn in: Lebl §8.2: 3, 4 |
| Mon, Mar 18 | Homework 6: Turn in: Lebl §8.2: 5, 6, 15, 18 Turn in: Lebl §8.3: 1, 2, 3 (parts c), 4 Do: Lebl §8.2: 8, 10, 12, 13, 17 |
| Mon, Mar 25 | Homework 7: Turn in: Lebl §8.3: 5, 7, 8, 9 Turn in: Lebl §8.4: 1, 2, 5 |
| Mon, Apr 1 | Homework 8: Turn in: Lebl §8.4: 3, 7, 8 Turn in: Lebl §8.5: 2, 4, 8 (parts a, b, c, d) For enrichment (not tested): Lebl §8.4: 10; Lebl §8.5: Contrary to problem 8(e), show that F is not an open map; Lebl §8.6: 1, 2, 3, 6. |
| Wed, Apr 17 | Homework 9: Turn in: Lebl §8.5: 5, 6, 10 Turn in: Lebl §9.1: 2, 4, 5 In §8.5 #10, there should also be the hypothesis that 𝛾(0)=(x,y). Hint for §9.1 #4: What are the derivatives of etx with respect to t? |
| Mon, May 6 | Homework 10: Turn in: Lebl §9.2: 1, 6, 8, 11 (parts a), 13 Turn in: Lebl §9.3: 1, 4, 5, 10 In §9.2: 13, you may just do the problem for smooth curves (rather than piecewise smooth). |
| Wed, May 8 | Homework 11: Turn in: Lebl §10.1: 6, 11, 13 Turn in: Lebl §10.2: 5, 6, 8 |
| Wed, May 15 | Homework 12: Turn in: Lebl §10.3: 2, 3, 4 Turn in: Lebl §10.4: 2, 3, 4 Turn in: Lebl §10.5: 3 |
| Mon, May 20 | Homework 13: Turn in: Lebl §10.5: 5 (parts c), 6 Turn in: Lebl §10.6: 3, 4 This assignment will not be collected, but maybe useful in preparing for the final exam. |