## MATH 101, Jan-Apr 2011 — Integral Calculus with Applications to Physical Sciences and Engineering

### SUGGESTED HOMEWORK PROBLEMS

Suggested weekly homework problems are posted here. Your instructor may assign all of or some of these problems, and also may assign other problems not on this list. Doing the homework problems is essential in order to do well in the course. Your instructor may give quizzes based on the suggested homework problems and/or collect and grade homework assignments to ensure that you are doing homework.

These problems are from the textbook, Calculus, Early Transcendentals, 6th edition or Single Variable Calculus, Early Transcendentals, 6th edition, both by James Stewart. Answers to the odd-numbered problems are given in the back of the textbook, and more detailed solutions to these problems are in the Student Solutions Manual, which is included in the package sold by the UBC Bookstore (also sold separately in limited quantities).

At least 2/3 of the questions on the common final exam will be similar to these problems.

The “Weeks” here correspond to those given in the course outline.

• Week 1
• §5.1: 3, 5, 11, 15, 17, 21, 26
• §5.2: 5, 7, 9, 19, 23, 25, 27, 29, 33, 37, 39, 43, 47, 49, 51, 55, 61, 69, 70, 71
• Problems Plus, Chapter 5 (p. 413): 11(a) (see Example 10, p. 105; draw pictures for n=1,2,3)
• Week 2
• §5.3: 3, 5, 9, 11, 15, 17, 25, 27, 29, 39, 51, 53, 55, 59, 63, 65, 73
• §5.4: 3, 5, 7, 11, 23, 25, 29, 35, 39, 43, 44, 49, 51, 55, 57, 61, 63
• §5.5: 1, 3, 11, 13, 15, 17, 19, 25, 27, 42, 43, 53, 59, 61, 63, 65, 73, 75, 81, 85
• Problems Plus, Chapter 5 (p. 413): 5, 9
• Week 3
• §6.1: 1, 3, 5, 9, 13, 17, 19, 23, 25, 27, 31, 33, 45, 49
• §6.2: 3, 7, 9, 11, 13, 15, 23, 25, 27, 33, 45, 51, 53, 55, 57, 59, 67
• Problems Plus, Chapter 6 (p. 448): 3, 7
• Week 4
• §6.4: 3, 5, 7, 11, 15, 17, 21, 23, 25, 27, 29
• §6.5: 5, 7, 9, 13, 17, 19, 23
• §7.1: 5, 7, 9, 15, 17, 25, 29, 31, 33, 47, 49, 61, 63, 65, 67
• Problems Plus, Chapter 6 (p. 450): 11
• Problems Plus, Chapter 7 (p. 522): 9
• Week 5
• §7.2: 3, 5, 7, 9, 15, 19, 21, 25, 29, 33, 47, 55, 57, 61, 65
• §7.3: 3, 5, 9, 17, 21, 23, 25, 27, 35, 41
• Problems Plus, Chapter 7 (p. 523): 13
• Week 6
• §7.4: 1, 3, 5(a), 11, 13, 15, 17, 25, 29, 31, 33, 41, 43, 45, 63
• §7.5: 5, 15, 17, 19, 23, 35, 39, 65, 77
• Problems Plus, Chapter 7 (p. 522): 1
• Problems Plus, Chapter 7 (p. 523): 15
• §7.8: 1, 7, 9, 11, 13, 15, 17, 31, 33, 49, 51, 53, 57, 59, 61, 63, 77
• Problems Plus, Chapter 7 (p. 522): 7
• Week 7
• §8.3: 5, 7, 9, 13, 17, 25, 27, 31, 33, 35
• Problems Plus, Chapter 8 (p. 564): 5, 9
• §9.3: 3, 5, 7, 13, 15, 17, 19, 37, 39, 41, 45, 47(a)
• Problems Plus, Chapter 9 (p. 618): 1, 7
• Week 8
• §11.1: 5, 7, 9, 13, 15, 17, 19, 21, 23, 25, 27, 29, 37, 45, 55, 57, 59, 61, 63, 65, 71, 81(a)(b)(c)
• §11.2: 1, 9, 11, 13, 15, 17, 21, 25, 27, 31, 33, 35, 37, 41, 43, 45, 47, 49, 61, 65, 71, 73
• Week 9
• §11.3: 1, 3, 5, 7, 9, 11, 13, 15, 19, 21, 25, 27, 31, 33, 37, 39 (draw a suitable picture for part (a))
• §11.5: 1, 3, 5, 7, 9, 13, 15, 19, 23, 25, 31
• Problems Plus, Chapter 11 (p. 761): 3, 5
• Week 10
• §11.6: 1, 3, 5, 7, 9, 13, 17 (Hint: to decide whether the series is conditionally convergent or not, consider the Integral Test together with the Comparison Theorem for improper integrals), 25, 27, 29, 31, 33
• §11.8: 3, 5, 7, 9, 11, 15, 17, 21, 23, 25, 29, 33, 35(a)
• Week 11
• §11.9: 1, 5, 7, 9, 11, 13, 15, 17, 23, 25, 27 with |error| < 0.0000005, 29 with |error| < 0.0000005, 33(a), 35, 39
• §11.10: 1, 3, 5, 7, 9, 15, 17, 21, 31, 33, 37, 41, 47, 49, 51 with |error| < 0.0005, 54, 55, 57, 59
• Week 12
• Problems Plus, Chapter 11 (p. 761): 1, 9, 11
• §7.7: 1, 5, 9, 17, 19, 21, 25, 29, 33, 35, 39, 43, 45, §8.3: 19