Calculus I
Math 141 -- Fall 2009

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

Homework Assignments

Date Assigned
 Date Due
 Section
(Page)
 Assignment
 Comments
20 Aug 21 Aug    
  • Enroll in your section on WebAssign.
  • Complete the Intro to WebAssign 2008-09 assignment.
21 Aug 25 Aug §1.1
(p. 20)		 # 2, 10, 26, 30, 46, 52, 62, 68
  • These problems are in HW #1 on WebAssign.
  • Be sure you can work these problems. Remember that on the exam you have to show all of your work.
24 Aug 28 Aug §1.2
(p. 34)		 # 2, 9, 14
  • In addition to these three problems, there is one additional problem on WebAssign that does not come from one of the exercises in the book.
  • Be sure you can work these problems. Remember that on the exam you have to show all of your work.
24 Aug 28 Aug §1.3
(p. 43)		 # 2, 3, 30, 32, 38, 50, 52, 54
  • Compositions will be very important in a couple of weeks. Be sure you know how they work now.
  • Be sure you can work these problems. Remember that on the exam you have to show all of your work.
  • M4C: [Maple] [MapleNet] Shifting Functions
26 Aug 31 Aug §1.5
(p. 58)		 # 2, 13, 16, 18, 22, 26
  • Be sure you can work these problems. Remember that on the exam you have to show all of your work.
26 Aug 31 Aug §1.6
(p. 70)		 # 8, 12, 14, 18, 21, 26, 34, 36, 38, 48, 54, 59, 66, 67
  • Be sure you can work these problems. Remember that on the exam you have to show all of your work.
28 Aug 4 Sep §2.1
(p. 87)		 # 4, 6
  • Even though these problems require the use of a calculator to answer them in WebAssign, you are still responsible for these ideas on the exam.
  • M4C: [Maple] [MapleNet] From Secant Slopes to Tangent Slopes, using a Graph and Numeric Data
  • M4C: [Maple] [MapleNet] From Secant Slopes to Tangent Slopes, using a Formula
31 Aug 4 Sep §2.2
(p. 96)		 # 6, 8, 10, 20, 22, 26, 32, 34, 40
  • In addition to these problems, the WebAssign assignment includes two additional exercises. These are all good practice for the exam.
  • M4C: [Maple] [MapleNet] Left and Right Limits and Continuity, using a Graph
  • M4C: [Maple] [MapleNet] Left and Right Limits and Continuity, using a Formula
  • M4C: [Maple] [MapleNet] Left and Right Limits and Continuity, using Numeric Data
2 Sep 11 Sep §2.3
(p. 106)		 # 2, 6, 16, 18, 22, 24, 26, 36, 40, 46
  • If you need more practice (and most students do), there are many more problems like these in the book.
4 Sep 11 Sep §2.4
(p. 117)		 2, 8
9 Sep 9 Sep Exam 1 Chapter 1 and §§ 2.1 and 2.2
  • Note that this is a different date than what is listed on the syllabus. This change was made due to the USC-NC State football game and Labor Day.
  • Exam 1: [Blank] [Solution Key]
4 Sep 14 Sep §2.5
(p. 128)		 # 4, 9, 32, 38, 42
14 Sep 18 Sep §2.6
(p. 140)		 # 4, 16, 20, 24, 32, 36, 42, 48
16 Sep 20 Sep §2.7
(p. 150)		 # 8, 11, 18, 22, 28, 32, 36, 42, 48, 52
18 Sep 20 Sep §2.8
(p. 162)		 # 3, 6, 8, 11, 24, 32, 36, 42
21 Sep 24 Sep §3.1
(p. 180)		 # 8, 12, 16, 20, 24, 25, 34, 42, 48, 50
28 Sep 28 Sep Exam 2 Chapter 2 and § 3.1
  • This test focuses on the limit, continuity, and the derivative (sometimes using the definition).
  • Exam 2: [Blank] [Solution Key]
23 Sep 1 Oct §3.2
(p. 187)		 # 6, 10, 12, 18, 20, 28, 32, 40, 44, 50
25 Sep 1 Oct §3.3
(p. 195)		 # 2, 8, 10, 22, 27, 28, 32, 40, 43, 48
30 Sep 5 Oct §3.4
(p. 203)		 # 2, 6, 10, 14, 18, 24, 28, 32, 39, 48, 62, 64, 74
2 Oct 5 Oct §3.5
(p. 213)		 # 4, 8, 12, 20, 28, 52, 54
5 Oct 12 Oct §3.6
(p. 220)		 # 2, 6, 14, 16, 26, 28, 34, 38, 44, 49
7 Oct 12 Oct §3.9
(p. 245)		 # 4, 8, 12, 22, 30
  • In addition to these problems, the WebAssign assignment includes two additional exercises. I have put these problems before the ones from the book because they force you to work through the entire process step-by-step. This is good practice, and will help you get ready to work the problems from the text.
  • M4C: [Maple] [MapleNet] Related Rates
12 Oct 16 Oct §4.1
(p. 277)		 # 18, 22, 24, 28, 30, 38, 44, 48, 52, 62
  • You need to be very comfortable with the concepts of local and global maximums and minimums. Notice if a problem asks for the value or location of the extreme value.
  • One detail that I want to point out to you is that this book's definition of local max and local min means that an endpoint of an interval can never be a local extreme number for a function.
14 Oct 19 Oct §4.2
(p. 285)		 # 2, 10, 14, 24
Additional Exercise #5
  • I suggest working Additional Exercise #5 before attempting Exercise #24.
16 Oct 21 Oct §4.3
(p. 295)		 # 2, 8, 14, 20, 32, 40, 44, 50, 52
23 Oct 23 Oct Exam 3 Chapter 3 and §§ 4.1--4.3
  • This test focuses on the derivative, and its applications.
  • Exam 3: [Blank] [Solution Key]
26 Oct 2 Nov §4.4
(p. 304)		 # 4, 12, 20, 26, 34, 46, 52, 54, 60, 64
  • I encourage you to get in the habit of clearly marking every time l'Hopital's rule is used --- including showing the indeterminate form of the limit.
  • Remember that l'Hopital's rule applies only when the indeterminate form is 0/0 or ∞/∞.
    All other indeterminate forms have to be manipulated until they look like one of these two forms before l'Hopital's rule can be used --- no exceptions.
  • M4C: [Maple] [MapleNet] L'Hospital's Rule
21 Oct 2 Nov §4.5
(p. 314)		 Additional Exercises #1 and #3
# 2, 10, 12, 22, 32, 36
  • I suggest working the two Additional Exercises (#1 and #3) before attempting any of the other eight (6) exercises. The six exercises that ask you to sketch the graph of the function must be turned on paper for grading. They are due at the beginning of lab on Tuesday, November 3, 2009.
30 Oct 6 Nov §4.7
(p. 328)		 # 4, 12, 14, 18, 24, 28, 32
4 Nov 9 Nov §4.9
(p. 345)		 # 4, 10, 14, 18, 28, 44, 50
6 Nov 13 Nov §5.1
(p. 364)		 # 4, 12, 14, 22
9 Nov 16 Nov §5.2
(p. 376)		 # 6, 18, 30, 34, 36, 40, 44, 48, 58
  • Hint: In #58 you will need to apply your prior knowledge to find the largest and smallest values of a function on a closed interval.
  • M4C: [Maple] [MapleNet] Left Riemann Sums
  • M4C: [Maple] [MapleNet] Right Riemann Sums
11 Nov 19 Nov §5.3
(p. 387)		 # 8, 12, 14, 22, 26, 28, 32, 38, 48
  • M4C: [Maple] [MapleNet] Area as an Antiderivative: Derive the Fundamental Theorem of Calculus
13 Nov 19 Nov §5.4
(p. 397)		 # 6, 10, 12, 16, 22, 32, 34, 58, 64
16 Nov 20 Nov §5.5
(p. 406)		 # 2, 6, 12, 14, 18, 24, 32, 52, 60, 62, 66, 68, 82
23 Nov 23 Nov Exam 4 Chapters 4 and 5
  • This test focuses on applications of the derivative and on the integral.
  • Exam 4: [Blank] [Solution Key]
18 Nov 4 Dec §6.1
(p. 420)		 # 6, 8, 14, 16, 18, 20, 24, 28
20 Nov 4 Dec §6.2
(p. 430)		 # 2, 4, 6, 10, 12, 16, 42, 60

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