Suggested Practice Problems

The following suggested practice problems will not be collected or graded. Most problems are odd-numbered problems with answers in the back of the book and solutions in the Student Solutions Manual.

The numbering refers to the 7th Edition of Multivariable Calculus (or Calculus) by J. Stewart.

**Please check back often, as these problem selections may be revised as we progress thorough the material.**

Problems in bold face have been added to the list since the beginning of the course. Take notice of this.

REVIEW: Integration review material

Single-variable integration techniques, especially integration by parts and trigonometric integrals. See this worksheet (by D. A. Kouba of U.C. Davis) Learn how to do problems like 1-14

Chapter 12 (Vectors and the Geometry of Space) (and Chapter 10, Conic Sections)

12.1: 3, 5, 7, 9, 11, 13, 15, 21, 25, 27, 33, 35, 39, 41
12.2: 5, 7, 13, 17, 19, 21, 25, 29, 33, 35, 37, 41, 51
12.3: 1, 3, 5, 7, 9, 11, 15, 17, 21, 23, 25, 27, 39, 41, 45, 49, 55
12.4: 3, 5, 7, 9, 13, 17, 19, 29, 31, 33, 35, 45
12.5: 3, 5, 7, 11, 13, 23, 25, 27, 29, 33, 35, 37, 51, 61, 65, 67, 12, 19, 20, 39, 45, 47, 57, 69, 71, 73, 79
10.5: 3, 5, 7, 13, 17, 21, 23, 25, 27, 29
12.6: 1, 3, 7, 9, 11, 15, 19, 23, 25, 27, 29, 31

Chapter 14 (Partial Derivatives)

14.1: 1, 3, 7, 9, 11, 15, 19, 25, 27, 33, 39, 43, 47, 49, 53, 65
14.2: TBA; not on final, but this material is relevant background for 14.3 and other sections. Could be on Exam 2.
14.3: 1, 11, 13, 15, 17, 21, 27, 29, 35, 43, 45, 49, 53, 55, 61, 63, 69, 75, 77, 79, 81, 83, 89, 93
14.4: 1, 3, 5, 11, 13, 17, 19, 21, 25, 29, 31, 33, 35, 37, 39, 41
14.5: 1, 3, 5, 7, 11, 13, 17, 19, 21, 23, 27, 29, 31, 33, 35, 39, 41, 43, 47, 49, 53
14.6: 3, 5, 7, 9, 11, 15, 19, 21, 25, 27, 29, 31, 33, 41, 45, 49, 53, 55, 61
14.7: 1, 3, 5, 7, 9, 11, 13, 15, 29, 31, 35, 39, 41, 45, 47, 49, 51, 53, 55
14.8: 1, 3, 5, 7, 9, 11, 15, 17, 21, 27, 31, 35, 43

Chapter 15 (Multiple Integrals)

15.1: 1, 3, 11, 13
15.2: 3, 5, 7, 9, 11, 13, 15, 17, 23, 25, 27, 31
15.3: 1, 3, 5, 7, 9, 15, 17, 23, 29, 35, 37, 43, 45, 47, 49, 51, 59, 65
15.4: 9, 11, 17, 19, 21, 23, 25, 29, 31, 37, 39
15.5: 3, 5, 9, 11, 13, 15
15.6: Surface area; optional topic, not on final. TBA whether it will appear on Exam 3.
15.7: 1, 3, 5, 7, 9, 11, 15, 21, 27, 33, 41
15.8: 9, 11, 15, 17, 19, 21, 25, 27, 29
15.9: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 29, 31, 35, 46

Tentative Schedule

 Sep. 3 Labor Day Sep. 5 12.1, 12.2 Sep. 7 12.2, 12.3 Sep. 10 12.3, 12.4 Sep. 12 12.5 QUIZ 1 Sep. 14 12.5, 12.6 Sep. 17 12.6 Sep. 19 14.1 Sep. 21 EXAM 1 Sep. 24 14.2 Sep. 26 14.3 QUIZ 2 Sep. 28 14.4 Oct. 1 14.4 Oct. 3 14.5 Oct. 5 14.5 Oct. 8 Thanksgiving Oct. 10 14.6 QUIZ 2.5 Oct. 12 14.6 Oct. 15 14.7 Oct. 17 14.7 QUIZ 3 Oct. 19 14.8 Oct. 22 15.1 Oct. 24 15.2 Oct. 26 EXAM 2 Oct. 29 15.3 Oct. 31 15.3 QUIZ 4 Nov. 2 15.4 Nov. 5 15.4, 15.5 Nov. 7 15.5 QUIZ 5 Nov. 9 Nov. 12 15.6 Nov. 14 15.6 Nov. 16 EXAM 3 Nov. 19 15.7 Nov. 21 15.7 QUIZ 6 Nov. 23 15.8 Nov. 26 15.8 Nov. 28 Review Nov. 30 Review