Math 2200 – Differential Calculus
Fall 2007
Instructor:
Kenyon Platt Class
Room: Life Sciences, Room C130
Office: Boyd 427K Time: T – Th: 3:30 – 4:45pm
E-Mail: platt@math.uga.edu
W:
2:30pm – 3:20pm
Phone: 706-542-2781 Text: Edwards & Penny: Calculus:
Early
Office Hours: T – Th: 1:00pm – 2:30pm Transcendentals Version, 7th
Edition
Web Site: www.math.uga.edu/~platt/Links/math2200.html
Content: We will cover chapters 2-4 and some of chapter 5 of Edwards and
Penny. See the back of the syllabus for
the list of topics covered and the suggested homework problems for each
section.
Grading: Grading will be based on the
following point values:
Homework: 150
points 18.75%
Participation: 50
points 6.25%
Exams: 400 points 50%
Final Exam:
200 points 25%
Total: 800 points
Grades will be assigned based on percentage as
follows:
A: 92%
- 100% B+: 86% - 88% C+:
76% - 78% D: 60%
- 66%
A-: 89% - 91%
B: 82%
- 85%
C: 70%
- 75% F: 0%
- 59%
B-: 79%
- 81% C-: 67%
- 69%
Homework: I will use WeBWorK for assigning and
submitting homework online. The website
where you can log on to WeBWorK is https://webwork.math.uga.edu/webwork2/Math2200_Platt/. Your username is your UGA e-mail username (e.g.,
if your e-mail address is joecool@uga.edu, then your username is joecool). Your password is initially set as your
student number (exactly 9 digits, starting with 810- and including dashes,
formatted like a social security number).
Once you log on, you can (and should) change it. Homework will be due by midnight
approximately five days after it is assigned.
Once the due date and time has passed, you will no longer be able to work
on it. The homework will count 150
points toward your grade. I have put
some suggested homework problems, along with the schedule, on the back of the
syllabus which are similar to the ones assigned on WeBWorK. You should do as many of them as you need to
in order to increase your skill and understanding of the subject. We will go over some of these in class.
Participation: Students are expected to come to class prepared each day. Excessive unexcused absences and other
irresponsible behavior will result in a reduction of the 50 possible
participation points.
Exams: There will be four 100 point in-class exams during the semester. Questions on the exams will test for
understanding of the concepts and ability to do the applications. The questions will be similar to the homework problems
as well as concepts we discuss in class.
The final exam is comprehensive and is worth 200 points. It will be roughly twice as long as one
in-class exam. It is scheduled for
Thursday, December 13, 2007 from 3:30 to 6:30pm. It will most likely be in our regular
classroom, but any changes will be announced in class.
Office
Hours: I will be in my office during my office hours and
you can drop by during those times whenever you need to discuss homework or if
you need additional clarification of something discussed in class. If you can't make the assigned times, feel
free to set up an appointment with me.
Other: I reserve the right to make any necessary changes to this syllabus, and
will announce any changes
to the class.
Academic
Honesty: All students are responsible for knowing the
University’s policy on academic honesty.
All academic work submitted in this course must be your own unless you
have received my permission to collaborate.
It is my responsibility to uphold the University’s academic honesty
policy and report my suspicions of dishonesty to the Office of the Vice
President for instruction.
|
Date |
Sec |
Topic |
Homework |
|
Aug 16 |
|
Introduction – Motivation |
|
|
Aug 21 Aug 22 |
2.2 |
Limits and Basic Limit Laws |
p. 74: 1, 2, 3, 4, 5, 6, 9, 13,
17, 19, 25, 29, 33, 37, 41, 43, 45 |
|
Aug 23 |
2.3 |
Trigonometric Limits |
p. 88: 1, 3, 5, 7, 10, 15, 17,
19 |
|
Aug 28 |
2.3 |
One-Sided and Infinite Limits |
p. 88: 29, 31, 37, 39, 41, 45,
49, 51, 56, 59, 60 |
|
Aug 29 Aug 30 |
2.4 |
Continuity and the Intermediate Value Theorem |
p. 100: 1, 3, 5, 7, 9, 15, 19,
25, 29, 33, 35, 55, 57, 59, 61, 63 |
|
Sept 4 |
3.1 |
The Definition of the Derivative |
p. 116: 3, 5, 9, 11, 15, 17,
19, 30, 31, 32, 33, 34, 35 |
|
Sept 5 Sept 6 |
3.1 |
The Derivative and Rates of Change |
p. 118: 21, 23, 25, 27, 29, 37,
39, 41, 42, 45, 47, 50, 51, 52, 53 |
|
Sept 11 |
|
EXAM I |
|
|
Sept 12 Sept 13 |
3.2 |
Rules of Differentiation |
p. 128: 1, 3, 5, 7, 13, 15, 19,
27, 31, 35, 43, 45, 51, 53, 55, 56, 59 |
|
Sept 18 Sept 19 Sept 20 |
3.3 |
The Chain Rule |
p. 137: 1, 4, 7, 9, 11, 13, 17,
21, 25, 29, 49, 51, 53, 55, 57, 59 |
|
Sept 25 |
3.4 |
The Generalized Power Rule |
p. 144: 1, 9, 19, 33, 39, 45,
49, 63, 65 |
|
Sept 26 |
3.5 |
Maxima and Minima on Closed Intervals |
p. 153: 1, 11, 13, 17, 19, 33,
37, 39 |
|
Sept 27 Oct 2 Oct 3 |
3.6 |
Optimization Problems on Closed intervals |
p. 164: 5, 9, 11, 13, 16, 20,
21, 25, 27, 29, 31, 33, 45, 47 |
|
Oct 4 |
|
EXAM II |
Note: Withdrawal deadline is
Oct 12 |
|
Oct 9 Oct 10 Oct 11 |
3.7 |
Derivatives of Trigonometric Functions |
p. 177: 1, 3, 5, 9, 11, 13, 15,
41, 43, 51, 59, 67, 72, 73, 75, 77, 79 |
|
Oct 16 |
3.8 |
Derivatives of Exponential and Logarithmic Functions |
p. 192: 1, 3, 5, 9, 17, 19, 23,
33, 37, 59 |
|
Oct 17 |
3.9 |
Implicit Differentiation |
p. 200: 3, 7, 11, 13, 19, 23,
25, 31 |
|
Oct 18 Oct 23 |
3.9 |
Related Rates |
p. 202: 38, 39, 43, 45, 47, 51,
55, 56, 60, 68 |
|
Oct 24 |
4.2 |
Increments, Differentials, and Linear Approximations |
p. 234: 17, 21, 23, 25, 29, 33 |
|
Oct 25- 26 |
|
Fall Break |
|
|
Oct 30 Oct 31 Nov 1 |
4.3 |
The Mean Value Theorem and Applications |
p. 244: 1, 3, 5, 7, 8, 9, 10,
13, 19, 21, 23, 45, 47 |
|
Nov 6 |
|
EXAM III |
|
|
Nov 7 |
4.4 |
The First Derivative Test |
p. 253: 1, 3, 5, 11, 15, 19,
21, 23 |
|
Nov 8 Nov 13 Nov 14 |
4.4 |
Optimization Problems on Open Intervals |
p. 253: 27, 29, 33, 35, 40, 43,
44, 46 p. 311: 83, 91 |
|
Nov 15 Nov 20 |
4.5 4.6 |
Concavity and Curve Sketching |
p. 263: 3, 4, 7, 11, 19, 23,
45, 47, 51, 53 p. 268: 1, 9, 15, 23, 27, 47,
49, 63, 65, 73, 75 |
|
Nov 21-23 |
|
Thanksgiving Break |
|
|
Nov 27 |
4.7 |
Curve Sketching with Asymptotes |
p. 290: 1, 3, 21, 25, 27, 35,
41, 45 |
|
Nov 28 |
5.2 |
Anti-Derivatives |
p. 326: 1, 5, 9, 13, 17, 19,
21, 23, 27, 33 |
|
Nov 29 |
5.2 8.3 |
Differential Equations |
p. 327: 35, 37, 39, 41, 43, 45,
47, 49, 51, 53, 55, 75, 79 p. 606: 3, 7, 11, 15, 17, 31,
32, 34, 35, 37, 38 p. 656: 55 |
|
Dec 5 |
|
EXAM IV |
|
|
Dec 6 |
8.3 |
Differential Equations Review |
|
|
Dec 13 |
|
Final Exam 3:30 – 6:30pm |
|