# Math 253 Suggested Homework

Text: Calculus, with Early Vectors, Preliminary Edition, by James Stewart. Individual sections may vary somewhat from this schedule.

### Chapter 11

• Section 11.1 -- #3, 5, 7, 13, 25, 29, 31, 33, 35, 39, 45, 47.
• Section 11.2 -- #5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 31, 33, 35.
• Section 11.3 -- #3, 5, 7, 9, 11, 19, 21, 23, 31.
• Also be able to do the following problem:
Let A1 and B1 be the vectors (1,2,0) and (-3,1,0), respectively. Let A2 and B2 be the vectors obtained by rotating A1 and B1 by an angle of 60 degrees in the counterclockwise direction about the Z-axis. Compute the vectors A2 and B2 and show that the cross product of A2 with B2 is the same as the cross product of A1 with B1.
Hint: to compute A2 and B2, express the x,y-coordinates of A1 and B1 using polar coordinates.
Answer: A2=(-1.232, 1.866, 0); B2=(-2.366, -2.098, 0) and A1 x B1 = (0,0,7) = A2 x B2.
• Section 11.4 -- #3, 7, 13, 15, 17, 19, 25, 29, 31, 37, 43, 47, 49, 51, 55, 63, 65.
• Section 11.5 -- #1, 3, 5, 7, 9, 11, 15, 17-24, 31, 33, 41.

Most instructors will skip the next 3 sections.

• Section 11.6 -- #1-6, 9, 13, 17, 21, 25, 31, 37, 41, 43, 47, 51, 57, 61, 74.
• Section 11.7 -- #1, 3, 9, 11, 17, 19, 23, 27, 31, 35, 39.
• Section 11.8 -- #3, 5, 9, 11, 13, 15, 17, 19, 21, 23.

### Chapter 12

• Section 12.1 -- #3, 7, 10, 21, 24, 33, 35, 37, 39, 41, 43, 45, 53, 55, 57, 59-64.
• Section 12.2 -- #3, 5, 7, 9, 15, 17, 23, 27, 31, 33, 39, 45.
• Section 12.3 -- #1, 5, 7, 10, 23, 29, 31, 45, 47, 49, 50, 57, 63, 75, 85, 91.
• Section 12.4 -- #1, 5, 7, 15, 19, 25, 31.
• Section 12.5 -- #1, 7, 11, 13, 17, 19, 23, 31, 35, 39.
• Section 12.6 -- #1, 5, 7, 13, 15, 19, 25, 27, 30, 35, 37, 41, 49, 55.
• Section 12.7 -- #1, 3, 7, 9, 17, 25, 31, 37, 43, 49.

Some instructors will skip the next section.

• Section 12.8 -- #3, 5, 7, 9, 17, 27, 33.

### Chapter 13

• Section 13.1 -- #1, 3, 5, 10, 13.
• Section 13.2 -- #5, 9, 13, 17, 21, 23, 27, 29, 31, 35.
• Section 13.3 -- #3, 7, 9, 13, 17, 21, 25, 27, 29, 33, 35, 39, 41, 47, 51.
• Section 13.4 -- #3, 9, 15, 19, 23, 25, 27, 29, 31, 33, 39, 43, 51, 59.
• Section 13.5 -- #3, 5, 9, 13, 17, 19, 21, 25, 27, 31.
• Section 13.6 -- #1, 3, 5, 7, 9, 11, 13, 15.

Many instructors will skip the next section.

• Section 13.7 -- #1, 3, 5, 7, 9, 13.
• Section 13.8 -- #1, 3, 5, 7, 9, 11, 13, 17, 21, 25, 29, 31.
• Section 13.9 -- #1, 3, 9, 17, 23, 27, 31, 39, 45, 47, 51, 53, 55, 57, 59, 61, 63.
• Section 13.10 -- #1, 3, 7, 11, 15, 17, 21, 23, 29, 33, 35.
• Section 13.11 -- #1, 3, 5, 7, 9, 11, 13, 15, 19, 21.

### Chapter 14

• Section 14.1 -- #1, 3, 5, 11, 12, 13, 14, 17, 19, 21, 23.
• Section 14.2 -- #1, 3, 7, 11, 15, 17, 19, 27, 29, 35, 39.
• Section 14.3 -- #1, 3, 7, 13, 15, 17, 19, 21, 23, 29, 31, 33.
• Section 14.4 -- #1, 3, 7, 9, 15, 17, 21, 24, 25.
• Section 14.5 -- #3, 7, 11, 13, 17, 19, 25, 31, 39, 40.
• Section 14.6 -- #1, 3, 5, 9-12, 15, 19, 21, 25, 27, 31.
• Section 14.7 -- #3, 5, 7, 9, 13, 115, 17, 21, 31, 35, 37.
• Section 14.8 -- #1, 3, 5, 7, 9, 11, 13, 15, 17, 19.
• Section 14.9 -- #1, 3, 5, 7, 9, 11, 13, 17, 19, 21, 23, 25.