MAT 237 Y

MULTIVARIABLE CALCULUS

COURSE 2005-2006

RECOMMENDED EXERCISES

Where a range of problems is given, do as many as you need to master the material taught in those questions.

Concentrate on the odd-numbered questions, especially if you have the Solutions Manual, and ask about the others in the Math Aid Centre.

Questions marked in boldface are more interesting/difficult/instructive and we strongly suggest that you attempt them.

Chapter 10

10.1: 1-18, 25-28, 31, 33, 39-42

10.2: 1-20, 25, 26, 30, 41-44, 48, 51, 53, 59-61, 65, 66

10.3: 1, 3, 5, 7-12, 13, 14, 15-28, 29-48, 49, 52, 55-66, 67

10.4: 1-42 (do at least: 3, 6, 7, 10, 11, 19, 27, 30, 31, 36, 37, 41), 45-48, 55

10.5: 5, 14, 15, 19, 26, 27, 59, 60

Chapter 12

12.1: 2, 3, 6, 8, 9, 10, 12, 14, 16, 18, 19, 21, 23-38, 40, 41

12.2: 3, 4, 6, 7, 11, 15, 19, 21, 23, 25, 26, 28-34, 40

12.3: 1, 2, 3, 5, 7, 11, 12, 13, 23, 24, 26, 27, 35, 40, 45, 47, 49, 51, 52, 54, 56-59

12.4: 1, 3, 5, 8-11, 14, 15, 18, 23-32, 34, 38-46 (especially 39, 40, 42, 46)

12.5: odd numbers 1-67 (do enough of each part to understand), 68-74

12.6: 1-36 (as many as possible)

12.7: 1, 2, odd numbers 3-29, 31-62 (do questions from each section), 65

Chapter 13

13.1: odd numbers 1-17, 19-24, 25, 26, 33-36, 39-41

13.2: odd numbers 1-25, 33-40, 45-51

13.3: 1, 3, 5, 9-11, odd numbers 13-29, 36-42, 47, 49, 51

13.4: some in 3-16, odd numbers 19-27, 31, 33, 39

Chapter 14

14.1: odd numbers 7-19, 21-30, 32, 34, 35, 37-46, 53-62, 63, 64

14.2: 2, 5-20, 23, 27-39, 41, 42

14.3: 1, 3, 7, 9, some of odd numbers 13-63, 67, 69, 71, 87,89

14.4: 1-6, 11-17, 19, odd numbers 23-35, 39-42

14.5: some of odd numbers 1-33, 38-41, odd numbers 43-55

14.6: 1, odd numbers 5-29, 33, 35, 39-43, odd numbers 49-63

14.7: odd numbers 1-17, 27, 29, 35, odd numbers 37-51, 53

14.8: 1, 3-19, odd numbers 25-39, 43, 44

Chapter 15

15.1: odd numbers 1-13

For 15.2-15.4, do as many as possible without a computer, but especially:

15.2: 1, 3, 5, 7, 11, 12, 15, 17, 19, 21, 25, 27, 33

15.3: 1, 5, 9, 11, 12, 15, 17, 20, 25, 31, 37, 39, 41, 42, 43, 45, 49, 50, 54, 55, 57

15.4: 1-6, 7, 9, 13, 15, 19, 21, 23, 27, 28, 29, 31, 33, 35, 36, 37

15.5: odd numbers 1-13

15.6: 1-12, 21, 22-24

15.7: 3-20, 25-34, 37, 47-49

15.8: 1-6, odd numbers 7-29, 33-36, 38, 39

15.9: 1-23, 24

Chapter 16

16.1: 1, 3, 5, 7, 11-18, 21, 23, 25, 29-32

16.2: odd numbers 1-21, odd numbers 31-43,

16.3: 1, odd numbers 3-23, 27, 29-32

16.4: 1-4, odd numbers 7-27, 29

16.5: 1, 3, 5, 7, 9-12, odd numbers 13-35

16.6: 1-4, 11-24, odd numbers 31-45, 56(a)(c)

16.7: odd numbers 5-27, 35, 39, 41, 43

16.8: 1-10, odd numbers 13-19

16.9: 1, 2, odd numbers 3-15, odd numbers 19-29

 • HOME • COURSE DESCRIPTION • • • • TUTORS