Date Assigned
|
Date Due
|
Section
(Page)
|
Assignment
(on WebAssign) |
Comments
|
| 20 Aug |
21 Aug |
|
|
-
Enroll in your section on
WebAssign.
-
Complete the Getting Started with WebAssign assignment.
|
| 21 Aug |
26 Aug |
§1.1
(p. 20) |
# 2, 10, 26, 30, 46, 52, 68
|
-
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.
-
M4C:
[Maple]
[MapleNet]
Finding Domain and Range
|
| 24 Aug |
26 Aug |
§1.2
(p. 34) |
# 2, 8, 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 |
26 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]
Horizontal and Vertical Shifting of the Basic Functions
-
M4C:
[Maple]
[MapleNet]
Shifting Transcendental Functions
-
M4C:
[Maple]
[MapleNet]
Reflecting Functions
|
| 26 Aug |
1 Sep |
§1.5
(p. 58) |
# 2, 13, 16, 18
|
-
Be sure you can work these problems
Remember that on the exam you have to show all of your work.
|
| 26 Aug |
1 Sep |
§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.
|
| 4 Sep |
8 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
|
| 4 Sep |
8 Sep |
§2.2
(p. 96) |
# 6, 8, 10, 22, 26, 32, 34
|
-
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
|
| 6 Sep |
12 Sep |
§2.3
(p. 106) |
# 2, 6, 16, 18, 22, 24, 26, 36, 40, 48
|
-
If you need more practice (and most students do),
there are many more problems like these in the book.
-
M4C:
[Maple]
[MapleNet]
Computing Limits By Factoring and Canceling
-
M4C:
[Maple]
[MapleNet]
Computing Limits By Expanding and Canceling
-
M4C:
[Maple]
[MapleNet]
Computing Limits By Conjugating and Canceling
-
M4C:
[Maple]
[MapleNet]
Computing Limits By Finding the Common Denominator
-
M4C:
[Maple]
[MapleNet]
Computing Limits with Absolute Values or Square Roots
|
| 9 Sep |
12 Sep |
§2.4
(p. 117) |
# 2, 8
|
-
M4C:
[Maple]
[MapleNet]
Epsilon-Delta Definition of Continuity
|
| 9 Sep |
16 Sep |
§2.5
(p. 128) |
# 4, 9, 32, 38, 42
|
-
M4C:
[Maple]
[MapleNet]
Continuity of Piecewise-Defined Functions
-
M4C:
[Maple]
[MapleNet]
Intermediate Value Theorem
|
| 11 Sep |
16 Sep |
§2.6
(p. 140) |
# 4, 16, 20, 24, 32, 36, 42, 48
|
-
M4C:
[Maple]
[MapleNet]
Computing Limits at Infinity by Finding Signs of Factors
-
M4C:
[Maple]
[MapleNet]
Computing Limits at Infinity
-
M4C:
[Maple]
[MapleNet]
Computing Limits at Infinity with Absolute Values or Square Roots
-
M4C:
[Maple]
[MapleNet]
Finding Horizontal Asymptotes
|
| 13 Sep |
18 Sep |
§2.7
(p. 150) |
# 4, 8, 18, 22, 28, 32, 36, 42, 48, 52
|
|
| 16 Sep |
18 Sep |
§2.8
(p. 162) |
# 3, 6, 8, 11, 24, 32, 36, 42
|
|
| 20 Sep |
20 Sep |
Exam 1 |
Chapters 1 and 2
|
-
This test focuses on the limit, continuity, and the derivative
(sometimes using the definition). It also contains some review
questions from pre-calculus (from Chapter 1).
-
Note that this is a different date than what is listed on the syllabus.
-
Exam 1:
[Blank]
[Solution Key]
|
| 23 Sep |
26 Sep |
§3.1
(p. 180) |
# 8, 12, 16, 20, 24, 25, 34, 42, 48, 50
|
-
M4C:
[Maple]
[MapleNet]
Derivative Drill
|
| 25 Sep |
30 Sep |
§3.2
(p. 187) |
# 6, 10, 12, 18, 20, 28, 32, 40, 44, 50
|
-
M4C:
[Maple]
[MapleNet]
Derivative Drill
|
| 25 Sep |
30 Sep |
§3.3
(p. 195) |
# 2, 8, 10, 22, 27, 28, 32, 40, 43, 48
|
-
For #40, please see Example 5 on pages 194-5.
-
M4C:
[Maple]
[MapleNet]
Derivative Drill
|
| 27 Sep |
2 Oct |
§3.4
(p. 203) |
# 2, 6, 10, 14, 18, 24, 28, 32, 39, 48, 62, 64, 74
|
|
| 30 Oct |
2 Oct |
§3.5
(p. 213) |
# 4, 8, 12, 20, 28, 52, 54
|
-
M4C:
[Maple]
[MapleNet]
Implicit Differentiation
|
| 2 Oct |
4 Oct |
§3.6
(p. 220) |
# 2, 6, 14, 16, 26, 28, 34, 38, 44, 49
|
|
| 4 Oct |
7 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
-
M4C:
[Maple]
[MapleNet]
Related Rates: The Balloon
-
M4C:
[Maple]
[MapleNet]
Related Rates: Filling a Cone
-
M4C:
[Maple]
[MapleNet]
Related Rates: The Ladder
-
M4C:
[Maple]
[MapleNet]
Related Rates: The Distance Between Moving Objects
-
M4C:
[Maple]
[MapleNet]
Related Rates: The Tightrope Walker
-
M4C:
[Maple]
[MapleNet]
Related Rates: The Ascending Airplane
|
| 9 Oct |
9 Oct |
Exam 2 |
Chapter 3
|
-
This test focuses on the derivative formulas and rules.
Be certain you can use the basic differentiation rules:
Power, Exponential, Trigonometric, Sum, Difference, Constant
Multiple, Product, Quotient, and Chain Rules.
-
Exam 2:
[Blank]
[Solution Key]
-
The last day to drop a class with a W is Friday, October 11.
We will do our best to have the exams graded in time for Friday's
class. We will definitely have the key posted before then; you
should be able to self-assess your work to get an idea about
your current status in the course.
|
| 11 Oct |
16 Oct |
§4.1
(p. 277) |
# 19, 23, 24, 27, 29, 37, 43, 49, 52, 53, 55, 62
|
-
You need to be very comfortable with the concepts of local and absolute
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.
-
Yes, this assignment is due BEFORE the start of Fall Break. I don't
want you to put it off until (next) Sunday night! That said, I do
hope you all have a restful and enjoyable Fall Break.
|
| 14 Oct |
22 Oct |
§4.2
(p. 285) |
# 3, 9, 13, 23
Additional Exercise #5
|
-
I suggest working Additional Exercise #5 before attempting
Exercise #23.
|
| 16 Oct |
24 Oct |
§4.3
(p. 295) |
# 2, 7, 13, 23, 34, 39, 44, 51, 54
|
|
| 21 Oct |
25 Oct |
§4.4
(p. 304) |
# 3, 4, 15, 19, 21, 25, 43, 54, 59, 65
|
-
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
|
| 23 Oct |
29 Oct |
§4.5
(p. 314) |
Additional Exercises #1 and #3
# 3, 12, 23, 35
|
-
I suggest working the two Additional Exercises (#1 and #3) before attempting
any of the other four (4) exercises. The four 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, October 29, 2013.
|
| 25 Oct |
29 Oct |
§4.7
(p. 328) |
# 4, 12, 14, 18, 24, 28, 32
|
-
In each problem be sure you clearly identify the objective function
and the interval on which you are seeking a maximum or minimum.
-
M4C:
[Maple]
[MapleNet]
Max/Min: Tin Can
-
M4C:
[Maple]
[MapleNet]
Max/Min: Fencing a Field
-
M4C:
[Maple]
[MapleNet]
Max/Min: Surface Area of a Box
-
M4C:
[Maple]
[MapleNet]
Max/Min: Rectangle in an Ellipse
-
M4C:
[Maple]
[MapleNet]
Max/Min: Distance from a Point to a Line
-
M4C:
[Maple]
[MapleNet]
Max/Min: Crossing a River
|
| 1 Nov |
1 Nov |
Exam 3 |
Chapter 4
|
-
This test focuses on applications of the derivative,
including graphing of functions, l'Hopital's Rule,
optimization problems, and antiderivatives.
-
Exam 3:
[Blank]
[Solution Key]
|
| 4 Nov |
6 Nov |
§4.9
(p. 345) |
# 3, 11, 13, 18, 31, 33, 37, 45, 59
|
-
Remember that antiderivatives are just derivatives in reverse.
-
Be sure you keep the derivatives and integrals of the trigonometric
functions separate!
-
M4C:
[Maple]
[MapleNet]
Anti-Derivative Drill
-
M4C:
[Maple]
[MapleNet]
Anti-Derivatives with Initial Conditions
-
M4C:
[Maple]
[MapleNet]
From Acceleration to Velocity and Position
|
| 6 Nov |
12 Nov |
§5.1
(p. 364) |
# 3, 13, 14, 22
|
|
| 8 Nov |
13 Nov |
§5.2
(p. 376) |
# 19, 21, 22, 29, 34, 36, 41, 49, 50, 59, 69
|
-
Hint: In #59 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
|
| 13 Nov |
17 Nov |
§5.3
(p. 387) |
# 9, 11, 15, 21, 26, 27, 32, 35, 38, 41, 49
|
-
M4C:
[Maple]
[MapleNet]
Area as an Antiderivative: Derive the Fundamental Theorem of Calculus
|
| 18 Nov |
22 Nov |
§5.4
(p. 397) |
# 6, 9, 12, 16, 23, 27, 35, 57, 65
|
|
| 18 Nov |
22 Nov |
§5.5
(p. 406) |
# 3, 7, 11, 15, 19, 24, 31, 53, 58, 65, 68, 77, 81
|
|
| 25 Nov |
25 Nov |
Exam 4 |
Chapter 5 (and Section 4.9)
|
-
This test focuses on antiderivatives and definite integrals,
evaluated both from the definition and by the Fundamental Theorem
of Calculus.
-
Exam 4:
[Blank]
[Solution Key]
|
| 20 Nov |
4 Dec |
§6.1
(p. 420) |
# 5, 9, 14, 17, 21, 25, 27
|
-
You can use your calculator for the last step of #25. If I used this
question on a quiz or test I would ask for the exact answer.
-
M4C:
[Maple]
[MapleNet]
Area of a Region
|
| 2 Dec |
4 Dec |
§6.2
(p. 430) |
# 2, 7, 10, 19, 20, 27
|
- Extra Credit. Your score for this section will replace another HW score - if that helps your overall HW grade. This material will NOT be on the final exam.
-
M4C:
[Maple]
[MapleNet]
Volume by Slicing
-
M4C:
[Maple]
[MapleNet]
Volume of Revolution
|
| 11 Dec |
9-11am |
Final Exam |
Comprehensive
|
-
Chapters 1 -- 5, and Sections 6.1 and 6.2
-
Final Exam:
[Blank]
[Solution Key]
|
<-->
.