Math 2253 Calculus I Spring 2013
Math 2253 Calculus I Spring 2013
Section 9 Meeting MW 2-3:40 in D234
Section 11 Meeting MW 5:30-7:10 in D234
Sarah Holliday Office: D230
Phone: 678-915-3421 E-mail: shollida@spsu.edu
Office Hours:
MW, 4-5, TR 2-4. And by appointment
Text:
Calculus, 7th e, James Stewart (Brooks/Cole).
Technology:
The TI-83/84 calculator is used for this course. You may NOT share calculators during
quizzes or exams. The use of cell phones, pagers, text or other messaging devices
is not allowed during class.
Prerequisites:
A grade of "C" or higher in MATH 1113 or Placement
by the Mathematics Assessment Test
Course objectives:
A first course in Calculus. Limits, derivatives and integrals of
algebraic and trigonometric functions, tangent lines,
instantaneous rate of change, maxima, minima and graphing,
related rates, linear motion. Also included: definite integrals, area
between curves, moments, work, and volumes of rotation. No
student may receive credit for both MATH 2240 and MATH 2253.
Upon completing this course students should be able to:
1. Find limits of functions and determine continuity of functions.
2. Find derivatives of algebraic and some trigonometric functions, and use derivatives to solve applied problems.
3. Find integrals of some algebraic and trigonometric functions, and use integrals
to solve applied problems.
Homework, Quizzes and Examinations:
Homework will be assigned daily, but will not be collected without advance warning.
Questions on homework problems can be answered in Office Hours and/or in class. Quizzes
will occur frequently, and occasionally without warning. Quiz questions will typically
come from homework problems. There will be four in-class examinations, and a final.
Grading Policy:
In-class examinations will be valued at 15% each, quizzes will total to 15%, and
the final will be valued at 25%.
Honesty:
SPSU has an Honor Code and a procedure for handling cases when academic misconduct
is alleged. All students should be aware of them. Information about the Honor Code
and the misconduct procedure may be found at http://www.spsu.edu/honorcode/.
Absence:
If I am contacted with an acceptable excuse before the date of the quiz or exam,
then a makeup can be arranged. An acceptable excuse is in writing, contains the student's
name, the date of the absence, a signature from a faculty member sponsoring the trip,
contact information for the faculty member, and a brief mention of the nature of the
trip.
Special needs:
I will attempt to accommodate all students with special needs to the best of my ability,
but it is the responsibility of the student to make their needs known to me. Students
with disabilities who believe they may need accommodations in this class are encouraged
to contact the person working with disabilities at 678-915-7244 as soon as possible
to better assure that such accommodations are implemented in a timely fashion.
Dates:
First day of class = Monday, January 7, 2013.
Holiday = Monday, January 21, 2013.
First In class exam = January 30, 2013.
Second In class exam = February 20, 2013.
Last day to withdraw = Tuesday February 26, 2013.
Third In class exam = March 19, 2013.
Fourth In class exam = April 10, 2013.
Last day of classes = Monday April 29, 2012.
Final Exam = TBA (May 1-May 7)
Assistance:
For help with your homework, or questions about the lectures, you have a lot of options.
I will take a limited number of questions during class, as time permits. I am available
in my office for help during my posted office hours, and any unscheduled time my door
is open. For additional help, there are campus-wide resources I will announce as soon
as I have the details.
Practice Homework:
NOTE: The pace may vary, so the following is a weekly rather than daily outline.
MATH 2253 CALCULUS I
COURSE OUTLINE
|
WEEK |
SECTIONS/TOPICS |
SAMPLE HOMEWORK ASSIGNMENTS |
|
1 |
1.4: The Tangent and Velocity Problems 1.5: The Limit of a Function |
pp. 48: 1, 3, 4, 5, 6, 7, 9 pp. 59: 1, 3, 5, 7, 9, 11, 13, 17, 19, 29, 31, 32, 35, 39 |
|
2 |
1.6: Calculating Limits Using the Limit Laws 1.8: Continuity |
pp. 69: 1, 6, 7, 9, 10, 11, 15, 17, 21, 27, 41, 51, 53, 60 pp. 91: 1, 3, 7, 9, 13, 15, 19, 23, 27, 33, 34, 35, 42, 43, 46, 51, 53 |
|
3 |
2.1: Derivatives and Rates of Change 2.2: The Derivative as a Function |
pp. 110: 1- 21 odd, 24, 27, 29, 32, 35, 39, 43, 45, 48. pp. 122: 1, 3, 5, 6, 13, 19, 23, 24, 25, 27, 35, 38, 41, 45, 50 |
|
4 |
2.3: Differentiation Formulas 2.4: Derivatives of Trigonometric Functions Exam 1 |
pp. 136: 5, 7, 9, 11, 14, 15, 17, 23, 25, 27, 28, 29, 34, 35, 51, 58, 59, 62, 64 pp. 146: 3, 5, 7, 9, 13, 15, 17, 18, 22, 23, 26, 30, 35, 39, 42, 45, 46 |
|
5 |
2.5: The Chain Rule
2.6: Implicit Differentiation |
pp. 155: 7, 9, 13, 15, 19, 22, 25, 34, 47, 48, 49, 52, 53, 68, 77 pp. 161: 6, 9, 12, 14, 16, 20, 22, 28, 34, 53, 56, 59 |
|
6 |
2.7: Rates of Change in the Natural and Social Sciences 2.8: Related Rates |
pp. 173: 1, 5, 6, 8, 9, 15, 17, 18, 19, 29, 30 pp. 181: 3, 4, 5, 7, 9, 10, 11, 14, 16, 23, 24, 27, 31, 35, 40 |
|
7 |
3.1: Maximum and Minimum Values 3.2: The Mean Value Theorem |
pp. 205: 1, 3, 5, 9, 12, 17, 22, 25, 28, 32, 35, 38, 45, 49, 51, 54, 55, 65 pp. 213: 3, 4, 6, 10, 14, 16, 20, 22, 24, 29, 31 |
|
8 |
3.3: How Derivatives Affect the Shape of a Graph 3.4: Limits at Infinity; Horizontal Asymptotes |
pp. 220: 1, 3, 7, 8, 9, 12, 13, 15, 17, 29, 35, 37, 38, 39, 58, 60, 68, 70 pp. 235: 1,3, 5, 9, 13, 14, 17, 19, 23, 25, 26, 29, 34, 35, 37, 42, 45, 49, 51, 53, 57 |
|
9 |
3.5: Summary of Curve Sketching 3.6: Graphing with Calculus and Calculators Exam 2 |
pp. 243: 1, 5, 11, 12, 15, 19, 20, 23, 29, 30, 34, 35, 36, 46, 47, 52, 55 pp. 249: 1, 5, 6, 7, 9, 20 |
|
10 |
3.7: Optimization Problems 3.9 Antiderivatives 4.1: Areas and Distances |
pp. 256: 3, 6, 7, 9, 16, 21, 24, 29, 33, 35, 38, 39, 47, 48, 64, 69 pp. 273: 3, 5, 13, 15, 19, 21, 23, 25, 27, 29, 39, 43, 51, 53, 57, 63 pp. 293: 1, 3, 5, 7, 8, 15, 17, 19, 24 |
|
11 |
4.2: The Definite Integral 4.3: The Fundamental Theorem of Calculus Exam 3 |
pp. 307: 1, 5, 8, 9, 18, 22, 28, 33, 35, 37, 42, 43, 47, 55, 57, 59, 62 pp. 318: 3, 9, 11, 17, 21, 28, 35, 42, 45, 47, 49, 54, 61 |
|
12 |
4.4: Indefinite Integrals and the Net Change Theorem 4.5: The Substitution Rule |
pp. 327: 5, 9, 11, 15, 17, 22, 26, 34, 35, 40, 45, 47, 52, 57 pp. 335: 3, 5, 11, 13, 16, 17, 21, 22, 23, 24, 30, 31, 39, 47, 49, 53, 56, 59, 62, 64 |
|
13 |
5.1: Areas Between Curves 5.2: Volumes |
pp. 349: 1, 3, 5, 9, 11, 12, 13, 17, 18, 19, 24, 27, 32, 35, 36, 46 pp. 361: 1, 5, 7, 9, 11, 13, 14, 15, 25, 28, 29, 36, 38, 40 |
|
14
|
5.3: Volumes by Cylindrical Shells Exam 4 5.4: Work |
pp. 366: 1, 5, 7, 9, 12, 13, 15, 17, 21, 22, 37, 38, 45, 47
pp. 371: 1, 3, 4, 7, 9, 10, 11, 13, 14, 15, 19, 22 |
|
15
|
5.5: Average Value of a Function Review for final examination |
pp. 375: 1, 7, 9, 11, 12, 13, 17, 19, 24 |
