# Homework for Math 32404, Section FG, Spring 2024

Textbooks:

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.