Math 221
Several Variable Calculus
Spring 2013 Exercises

Here is a list of exercises recommended by the Department of Mathematics as the minimum you should do to master the course material. The odd-numbered exercises have answers in the back of the textbook, and detailed solutions are available in an optional solutions manual. Accordingly, these exercises are not to be turned in for credit. I may assign other exercises to work for credit.

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.
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.
Section 11.6
1–6, 9, 13, 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, 31, 33, 39, 45.
Section 12.3
1, 5, 7, 10, 23, 29, 31, 45, 49, 50, 57, 63, 75, 85, 91.
Section 12.4
1, 5, 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, 49, 55.
Section 12.7
1, 3, 7, 9, 17, 25, 31, 37, 43, 49.
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.
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, 15, 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.