## Homework Assignments

Homework assignments are due at the start of class. Late work will be accepted, up to twice per student with a 5-point deduction per day late, unless special arrangements are made. Problems denoted (M) should be worked in Mathematica, and submitted to our Google Drive. Starred problems are optional, challenge problems. Please submit these on separate page(s), as they will be graded separately, and earn gold stars.

1. Homework 1, due W., 1/18:
• 10.3: 7-10, 54
• 12.1: 7, 8, 48*; for the following, both describe the region in words and draw a picture by hand: 25, 31, 33, 34, 36.
2. Homework 2, due W., 1/25:
• 12.2: 1, 5, 6, 10, 12, 16, 18, 31, 39
• 12.3: 21, 24, 28, 29, 31, 32, 40, 41, 44, 51, 55, 57*
• 12.4: 8, 13, 18, 30, 33, 36, 40, 42, 54*
• 12.5: 1, 6, 10, 11
3. Homework 3, due W., 2/1:
• 12.5: 1, 6, 10, 11, 17, 19, 20, 32, 34, 37, 41, 54, 81
• 12.6: 51
• 10.1: 17, 24, 28, 43*, 44* (you should not look at any outside sources for our challenge problems)
• 10.2: 28, 34, 54, 73, 74
4. Homework 4, due W., 2/8:
• 10.2: 28, 34, 54, 73, 74
• 13.1: 9, 10, 16, 21-26
• 13.2: 1, 7, 10, 18, 20, 37, 42 [hint: integrate by parts], 49, 55, 56
5. Homework 5, due W., 2/15:
• 13.3: 16, 18, 19, 33, 38, 39, 48, 56, 60*
6. Homework 6, due W., 2/22:
• 13.4: 2, 4, 6, 10, 14, 25, 29, 33, 43, 44
• 14.1: 24, 26, 32, 34, 36, 39, 43, 44, 61-70
• 14.2: 2, 8, 9, 13, 18, 33
• 14.3: 3, 5-10
7. Homework 7, due F., 3/3:
• 14.3: 3, 5-10, 34, 40, 50, 76, 82, 97
• 14.4: 6, 15, 17, 24, 37, 40, 42
• 14.5: 1, 8, 17, 34, 36, 37, 41, 43, 44
• 14.6: 2, 10, 11
8. Homework 8, due W., 3/15:
• 14.6: 18, 28, 34, 38
• 14.7: 3, 4, 12, 20, 31, 48, 49
9. Homework 9, due W., 3/22:
• 14.8: 1, 6, 7, 17, 25, 30, 49*
• For 17, you must use Lagrange multipliers with 2 constraints, see p. 1016.
10. Homework 10, due W., 3/29:
• 15.1: 8, 12 (and find its volume), 18, 24, 27, 29, 38, 42
• 15.2: 15, 16, 20, 27, 31, 57, 58
• 15.3: 4, 6, 7, 11, 16, 17, 20, 24, 28, 36
11. Homework 11, due W., 4/5:
• 15.6: 16, 27, 31, 34, 35, 37, 54
• 15.7: 1, 2, 5-8, 11, 12, 20, 21, 26
• Bonus: Discovery Project (Hyperspheres, p. 1080) 2-4
12. Homework 12, due M., 4/10:
• 15.8: 1, 2, 4-8, 11, 12, 13, 19, 23, 44
• 15.9: 3, 7, 12, 24
13. Homework 13, due W., 4/19:
• 16.1: 5, 6, 11-14, 22, 24, 29-32
• 16.2: 1, 4, 10, 13, 17, 18, 27(either use Mathematica or make a rough sketch of the field), 42, 45
• 16.3: 7, 11, 14, 19, 21, 25, 26, 31-35
14. Homework 14, due W., 4/26:
• 16.4: 1, 4, 5, 12
• 16.5: 1, 2, 5, 9-12, 20-22, 33, 34, 37