Calculus II
Math 142 -- Fall 2014

Professor Doug Meade
meade@math.sc.edu
Department of Mathematics
University of South Carolina


Homework Assignments

Date Assigned
Date Due
Section
(Page)
WebAssign
Paper
Comments
26 Aug 1 Sep §7.1
(p. 457)
# 3, 5, 7, 13, 17, 25, 26, 30 # 33, 63
Solution
  • WebAssign problems must be completed by midnight of the "due date". Paper problems are to be turned in no later than the beginning of the first class period after the "due date".
  • The paper problems must be complete solutions, with all of your work. You should include enough words to explain what you are doing. Do not make me guess!
  • The paper problems might be a little more challenging that the WebAssign problems. Build your confidence on the WebAssign problems.
  • The quizzes and exams will require you to show all of your work.
  • For additional practice, consider using the Integration by Parts maplet (#89) in the M4C collection.
  • M4C: [Maple] [MapleNet] Integration By Parts (#89)
  • Quiz 1: Key
28 Aug 3 Sep §7.2
(p. 465)
# 1, 4, 6, 7, 13, 19 # 56, 59, 65
Solution
Maple (PDF)
  • Remember that you are only responsible for problems involving products of powers of sine and cosine (not tangent or secant)
  • M4C: [Maple] [MapleNet] Trigonometric Integrals (#91)
28 Aug 8 Sep §7.3
(p. 472)
# 2, 7, 20 # 39
Solution
  • These problem all use the "sine" substitution. They should lead to integrals involving powers of sine and cosine. These are the only cases I will expect you to have mastered.
  • M4C: [Maple] [MapleNet] Trigonometric Substitutions (#92)
  • Quiz 2: Key
5 Sep 11 Sep §7.4
(p. 481)
# 1, 3, 4, 6, 7, 9, 12, 15, 19, 24 # 49, 53, 54
Solution
Maple (PDF)
  • Many of these problems are multiple choice. Even if you can answer them without doing all of the work, be sure you can work out the details on your own.
  • For the WebAssign problems, remember to include absolute values in the logarithm terms.
  • When you turn in #53 and #54, be sure to include graphs that clearly identify each function in the graph.
  • M4C: [Maple] [MapleNet] Partial Fractions: General Decomposition (#93)
  • M4C: [Maple] [MapleNet] Partial Fractions: Finding Coefficients (#94)
  • M4C: [Maple] [MapleNet] Partial Fractions: Evaluating the Integral (#95)
  • Quiz 3: Key
9 Sep 15 Sep §7.5
(p. 488)
# 1, 7, 9, 10, 14, 18, 20, 43, 66 # 35, 42
Solution
  • For the WebAssign problems, remember to include absolute values in the logarithm terms.
11 Sep 15 Sep §7.6
(p. 492)
# 5, 7, 10, 19, 22 # 48
Solution
Maple (PDF)
  • For the WebAssign problems, remember to include absolute values in the logarithm terms.
  • M4C: [Maple] [MapleNet] Indefinite Integral Drill (#97)
  • M4C: [Maple] [MapleNet] Definite Integral Drill (#98)
11 Sep 17 Sep §7.8
(p. 515)
# 3, 5, 10, 14, 18, 24 # 42, 55
Solution
  • For the WebAssign problems, remember to include absolute values in the logarithm terms.
  • M4C: [Maple] [MapleNet] Improper Integrals (#96)
22 Sep 22 Sep Exam 1 Chapter 7
Key
  • Study the homework and quizzes. The problems at the end of Chapter 7 are also good ones to use for practice.
23 Sep 29 Sep §6.1
(p. 420)
# 8, 9, 14, 17, 20, 22, 27 See note at right.
  • Enter each answer in it's exact form. Do not find a decimal approximation.
  • For the "paper" problems, for each WebAssign problem, prepare a sketch of the region whose area you are finding. Be sure to clearly label each curve and any intersection points. Hand-drawn sketches are fine, provided they are neat and easily readable.
  • M4C: [Maple] [MapleNet] Area of a Region (#108)
  • Quiz 4: Key
29 Sep 2 Oct §6.2
(p. 430)
# 3, 5, 12, 16, 21, 27 # 51
Solution
  • Enter each answer in it's exact form. Do not find a decimal approximation.
  • M4C: [Maple] [MapleNet] Volume by Slicing (#109)
  • M4C: [Maple] [MapleNet] Volume of a Solid of Revolution (#110)
30 Sep 6 Oct §6.3
(p. 436)
# 2, 5, 9, 30, 41 # 24, 45
  • Enter each answer in it's exact form. Do not find a decimal approximation.
  • For #24, in addition to setting up the definite integral, please evaluate the integral to find the exact volume. (We can do this because we've already completed Chapter 7.)
  • M4C: [Maple] [MapleNet] Volume of a Solid of Revolution (#110)
  • Quiz 5: Key
2 Oct ? Oct §6.5
(p. 445)
# 1, 5, 6, 9 # 14
Solution
  • Enter each answer in it's exact form. Do not find a decimal approximation.
  • M4C: [Maple] [MapleNet] Average Value of a Function (#109)
6 Oct 9 Oct §8.1
(p. 530)
# 2, 5, 9, 19 # 32
Solution
  • Enter each answer in it's exact form. Do not find a decimal approximation.
  • M4C: [Maple] [MapleNet] Arc Length in the Plane (#112)
13 Oct 13 Oct Exam 2 Chapter 6 and Section 8.1
Key
  • Study the homework and quizzes. The problems at the end of Chapter 6 are also good ones to use for practice.
9 Oct 16 Oct §10.3
(p. 647)
# 5, 7, 8, 11, 12, 29, 30, 31, 33, 34, 35, 37, 38, 43 # 69
Solution
  • Enter each answer in it's exact form. Do not find a decimal approximation.
  • Many of these questions are multiple choice questions where you select the correct graph. Be sure you can also draw the graph, if requested.
  • M4C: [Maple] [MapleNet] Identifying Polar Curves from a Graph (#136)
  • Quiz 6: Key
14 Oct 20 Oct §10.4
(p. 653)
# 1, 7, 19, 23 # 38
Solution
  • Enter each answer in it's exact form. Do not find a decimal approximation.
21 Oct 28 Oct §11.1
(p. 684)
# 5, 8, 10, 17, 21, 26, 313, 34, 35, 37, 39 none
  • Enter each answer in it's exact form. Do not find a decimal approximation.
  • M4C: [Maple] [MapleNet] Sequence Drill (#125)
  • Quiz 7: Key
21 Oct 30 Oct §11.2
(p. 694)
# 3, 8, 11, 12, 17, 20, 25, 29, 30, 33, 36 # 59
Solution
  • Enter each answer in it's exact form. Do not find a decimal approximation.
  • M4C: [Maple] [MapleNet] Geometric Series (#126)
  • M4C: [Maple] [MapleNet] Telescoping Series (#126)
  • Quiz 8: Key
27 Oct 3 Oct §11.3
(p. 703)
# 3, 5, 8, 16, 18, 20, 23, 25, 36 # 27, 38
Solution
  • Enter each answer in it's exact form. Do not find a decimal approximation.
  • Maple worksheet to support the analysis in Exercise #33
  • Modified Maple worksheet for the lab project: KochVariation-Meade
  • M4C: [Maple] [MapleNet] Series Test Drill (#128)
10 Nov 10 Nov Exam 3 Sections 10.3-4, 11.1-3
Key
  • Study the homework and quizzes.
6 Nov 17 Nov §11.4
(p. 709)
# 3-5, 9, 10, 12, 15-20, 23-26, 28 none
  • Enter each answer in it's exact form. Do not find a decimal approximation.
  • M4C: [Maple] [MapleNet] Series Test Drill (#128)
  • Quiz 9: Key
11 Nov 18 Nov §11.5
(p. 713)
# 2-5, 8-13, 15 none
  • Enter each answer in it's exact form. Do not find a decimal approximation.
  • M4C: [Maple] [MapleNet] Series Test Drill (#128)
13 Nov 20 Nov §11.6
(p. 719)
# 2-5, 9, 11, 13, 14, 17, 19 none
  • Enter each answer in it's exact form. Do not find a decimal approximation.
  • M4C: [Maple] [MapleNet] Series Test Drill (#128)
11 Nov 23 Nov §11.7
(p. 703)
# 1, 3, 8, 9, 12, 13, 16, 26, 31 none
  • Enter each answer in it's exact form. Do not find a decimal approximation.
  • M4C: [Maple] [MapleNet] Series Test Drill (#128)
25 Nov 25 Nov Exam 4 Chapter 11 (thru 11.7)
Key
  • Study the homework and quizzes.
18 Nov 1 Dec §11.8
(p. 727)
# 3, 5, 7, 9, 10, 12, 14-16 none
  • Enter each answer in it's exact form. Do not find a decimal approximation.
20 Nov 2 Dec §11.9
(p. 733)
# 3, 5, 7, 8 none
  • Enter each answer in it's exact form. Do not find a decimal approximation.
1 Dec 3 Dec §11.10
(p. 746)
# 5, 6, 8 none
  • Enter each answer in it's exact form. Do not find a decimal approximation.
  • M4C: [Maple] [MapleNet] Using Maclaurin Series to Compute Limits (#129)
  • M4C: [Maple] [MapleNet] Using Maclaurin Series to Approximate Integrals (#130)
9 Dec 12:30pm Final Exam cumulative:
chapters 6, 7, 8, 10, and 11
  • Review the mid-term exams, quizzes, and homework.
  • Integration Practice - This handout was prepared by Prof. Girardi. There are a few of these that involve techniques that we have not emphasized in this course - you should be able to identify them, and be able to evaluate the rest.

Notes:

  • Maple worksheets (.mw files) should be downloaded to your local computer (I recommend creating a folder called, say, MapleFiles.)
  • Portable Document Format (PDF) files are viewable with Adobe Reader Download Adobe Reader .

  • If you have any questions, please send e-mail to meade@math.sc.edu