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

©