Homework
Homework reinforces concepts and skills while challenging students to extend what they have learned to other types of problems. Because it is important for students to have this experience, instructors will not solve assigned homework problems during office hours before the due date. We will of course answer questions you may have in approaching problems that give you difficulty. It is therefore essential to begin homework sets early so that you may get help if difficulties do arise. This is especially true for problems that involve programming.
All assignments are due every Monday 11:30 am Eastern Time (except May 18). All homework (in .zip or .pdf) will be submitted on Canvas. No late homework will be accepted.
Please follow the homework submission guidelines.Collaboration on homework is permitted (and encouraged), but you must write the solution up on your own. Please acknowledge any cooperative work at the end of each assignment.
| Assignment | Due Date | Problems |
|---|---|---|
| HW 01 | Wednesday, April 8 (11:30 am EST) |
§1.1: #7, 9, 12, 22, 24 §1.2: #5, 12 (Hint: do (b) first), 13 §1.3: #1-6, 8, 15-18 §2.1: #15, 17, 30, 33, 38 §2.2: #8, 18, 25 §2.4: #11, 14, 22, 25, 28, 33 Also please submit your FERPA waiver. |
| HW 02 | Monday, April 13 (11:30 am EST) |
§2.3: #2, 4, 8 (Hint: Solve 8 (c) numerically.), 15 §2.5: #4, 12, 15 §2.6: #2, 14, 16, 24, 27 Use exercise 24 in 2.6 to solve the equation $$(3y^2 + 4xy) + (4xy + 3x^2) \frac{dy}{dx} = 0.$$ |
| HW 03 | Monday, April 20 (11:30 am EST) |
§3.1: # 11, 22, 23, 27 §3.2: # 10, 19, 22, 27, 34 §3.3: # 5, 11, 20, 26, 35 §3.4: # 6, 13, 28 |
| HW 04 | Wednesday, April 29 (11:30 am EST) |
§3.5: # 9, 14, 18, 29 §3.6: # 11, 15 §7.1: # 7 (only (a),(b)), 15 §7.3: # 11, 25 |
| HW 05 | Wednesday, May 6 (11:30 am EST) |
§7.4: # 2 (only (a), (b), (c)), 5, 6 (only (a), (b)) §7.5: # 8, 18, 25, 29 §7.6: # 10, 11, 28 §7.8: # 10, 15, 18 (only (a), (b), (c), (d)) |
| HW 06 | Wednesday, May 13 |
§7.7: &# 3, 6, 9, 11, 12 §7.9: # 2, 3, 4, 14 (only verify the general sol. of the corresponding homogenenous part) §9.1: # 18, 20, 21 |
| HW 07 | Wednesday, May 27 (11:30 am EST) |
§9.2: # 4, 8 (only (a), (b), (c)), 23 §9.3: # 4, 9, 20, 27 §9.4: # 3, 8 §9.5: # 4, 12 Plotting slope fields and trajectories Direction field plotter |
HW 08 | Wednesday, June 3 (11:30 am EST) |
§6.1 # 2, 14, 24 §6.2 # 16, 26, 29, 32 §6.3 # 18, 20, 25 §6.4 # 8, 17 §6.5 # 8, 14, 18 §6.6 # 1, 2, 16, 21 |