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, Sep 9 | 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. |
| Mon, Sep 16 | 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 |
| Mon, Sep 23 | Homework 3: Turn in: Lebl §7.1: 8 Turn in: Lebl §7.4: 15 Turn in: Lebl §7.5: 5, 6 |
| Mon, Sep 30 | Homework 4: Turn in: Lebl §7.5: 7, 8, 10, 11, 17 (parts c) Do: Lebl §8.1: 3, 4, 7 |
| Tue, Oct 15 | Homework 5: Turn in: Lebl §8.1: 1, 8, 12, 15 Turn in: Lebl §8.2: 3, 4, 5, 6 Do: Lebl §8.2: 8, 10, 12 |
| Mon, Oct 21 | Homework 6: Turn in: Lebl §8.2: 15, 18 Turn in: Lebl §8.3: 1, 2, 3 (parts c), 4 Do: Lebl §8.2: 13, 17 |
| Mon, Oct 28 | Homework 7: Turn in: Lebl §8.3: 5, 7, 9 Turn in: Lebl §8.4: 1, 2, 5 Turn in: Lebl §8.6: 2 Do: Lebl §8.3: 8 Do: Lebl §8.4: 7, 8 Do: Lebl §8.6: 6 |
| Mon, Nov 4 | Homework 8: Turn in: Lebl §8.4: 3, 7, 8 Turn in: Lebl §8.5: 2, 4, 8 (parts a, b, c, d) Do: Lebl §8.6: 5 For enrichment (not tested): Lebl §8.4: 10; Lebl §8.5: Contrary to problem 8(e), show that F is not an open map. |
| Mon, Nov 11 | Homework 9: Turn in: Lebl §8.5: 5, 6, 10 Turn in: Lebl §9.2: 1, 6, 8, 11 (parts a), 13 In §8.5 #10, there should also be the hypothesis that 𝛾(0)=(x,y). In §9.2: 13, you may just do the problem for smooth curves (rather than piecewise smooth). |
| Mon, Nov 25 | Homework 10: Turn in: Lebl §9.1: 2, 4, 5 Turn in: Lebl §9.3: 1, 4, 5, 10 Hint for §9.1 #4: What are the derivatives of etx with respect to t? |