INSTRUCTOR:	Randell Simpson
PHONE:	298-8976, 1-800-460-4636-8976
FAX:	298-8977
EMAIL:	randell@templejc.edu
WEB ADDRESS:	www.templejc.edu/dept/Math/RSimpson/Simpson.htm
TEXTBOOK:	Calculus: Concepts & Contexts by James Stewart (any edition) **INSTRUCTOR HAS FREE COPIES AVAILABLE**
EVALUATION:	450 pts = A; 400 pts = B; 350 pts = C; 300 pts = D; <300 pts = F
METAPHOR:	Sisyphus Strugges against the Derivative

GRADING COMPONENT	POINTS
QUIZZES & APPLICATION EXERCISES	100
MIDTERM	200
FINAL EXAM	200

APPLICATION EXERCISES:
Following every lecture students will have suggested homework problems to work plus an "Application Exercise." The application exercises must be submitted to the instructor at the beginning of the following class day. Each application exericse is worth 1 pt. Application exercises will not be accepted late.

QUIZZES:
Each day following a lecture the instructor will administer a 4-point quiz comprised of problems representative of the suggested homework problems. Quizzes cannot be taken late nor can they be made up. Besides preparing for the quizzes, students should also work the suggested homework assigned in class.

ATTENDANCE:
Attendance is a necessary component of the course. The instructor may withdraw a student for non-attendance, but it is the student's responsibility to drop the class if he or she wishes to withdraw. November 13 is the last day to drop the class (& the college closes early that day).

MAKEUP POLICY:
The midterm exam may be made up. If a student misses the midterm, he or she should contact the instructor as soon as possible. A different version of the midterm exam will be made available by appointment. Quizzes cannot be made up. Application exercises cannot be made up. The final exam cannot be made up.

ACADEMIC INTEGRITY & DISRUPTIVE BEHAVIOR:
Disruptive behavior, cheating, plagiarism, and academic dishonest can all lead to severe disciplinary sanctions. Students should refer to the Temple College Student Handbook regarding policies dealing with academic integrity and disruptive behavior.

VIDEO LECTURES:
The instructor has posted video clips of abridged lectures at http://www.youtube.com/user/randellsimpson.

COMPANION TEXT to STEWART's CALCULUS: CONCEPTS & CONTEXTS

Companion Text to Stewart's Calculus

M/W LECTURE SCHEDULE (subject to change during the semester):

DATES	MONDAY LECTURE	WEDNESDAY LECTURE
Aug 24/26	First Day: Limits	Second Day: Limit Properties
Aug 31/Sept 2	Continuity	Sisyphus & Derivative
Sept 7/9	HOLIDAY	Velocity & Derivative
Sept 14/16	Derivative as Function	Differentiation
Sept 21/23	Product & Quotient Rules	Chain Rule
Sept 28/30	Differentiation with Trigonometric & e^x Functions	Implicit Differentiation
Oct 5/7	Differentiation of LN & Logarithmic Differentiation	REVIEW
Oct 12/14	MIDTERM EXAM	Linearization
Oct 19/21	Related Rates	Applications of Continuity & Limits
Oct 26/28	Behavior Theorem	Extreme Value Theorem
Nov 2/4	Concavity & Inflection	Optimization
Nov 9/11	L'Hospital's Rule	Antiderivatives & Indefinite Integral
Nov 16/18	Riemann Sum	Fundamental Theorem of Calculus
Nov 23/25	Integration by Substitution	HOLIDAY
Nov 30/Dec 2	Integration by Parts	Area Between 2 Curves
Dec 7-10	Practice Problems for Final	FINAL EXAM (Date & Time to be Announced)

T/Th LECTURE SCHEDULE (subject to change during the semester):

DATES	TUESDAY LECTURE	THURSDAY LECTURE
Aug 25/27	First Day: Limits	Second Day: Limit Properties
Sept 1/3	Continuity	Sisyphus & Derivative
Sept 8/9	Velocity & Derivative	Derivative as Function
Sept 15/17	Differentiation	Product & Quotient Rules
Sept 22/24	Chain Rule	Differentiation with Trigonometric & e^x Functions
Sept 29/Oct 1	Implicit Differentiation	Differentiation of LN & Logarithmic Differentiation
Oct 6/8	Linearization	REVIEW
Oct 13/15	MIDTERM EXAM	Related Rates
Oct 20/22	Applications of Continuity & Limits	Behavior Theorem
Oct 27/29	Extreme Value Theorem	Concavity & Inflection
Nov 3/5	Optimization	L'Hospital's Rule
Nov 10/12	Antiderivatives & Indefinite Integral	Riemann Sum
Nov 17/19	Fundamental Theorem of Calculus	Integration by Substitution
Nov 24/26	Integration by Parts	HOLIDAY
Dec 1/3	Area Between 2 Curves	Practice Problems for Final
Dec 7-10	FINAL EXAM (Date & Time to be Announced)

Course Content:

Students will be required to do the following:

1. LIMITS & CONTINUITY
   • Define limits
   • Employ limit properties
   • Evaluate limits including limits at infinity and one-sided limits
   • Verify a limit using the precise definition
   • Define continuity
   • Determine if a function is continous at a given point
   • Recognize removeable, jump, & infinite discontinuities
   • Evaluate the limit of a difference quotient at a particular point a as h approaches zero
   • Define the derivative as a limit
   • Define asymptotes as a limit
   • State and employ the Intermediate Value Theorem
   • Apply the concept of a limit to a real-world mathematical model
   • Recognize and identify indeterminant expressions
   • Apply L'Hospital's Rule to evaluate limits
2. DIFFERENTIATION
   • Define tangents and secants
   • Interpret the derivative as the slope of a tangent
   • Interpret the derivative as velocity and instantaneous rate of change
   • Apply differentiation to real-world problems in physics and economics
   • Differentiate functions using the definition
   • Recognize differentiation as a linear operator
   • Differentiate functions using the power rule, product rule, quotient rule, and chain rule
   • Differentiate a variety of functions including trigonometric functions, exponential functions, and logarithmic functions
   • Differentiate implicitly
   • Differentiate logarithmically
   • Use linearization to approximate functions
   • State and employ the Behavior Theorem to identify the behavior of functions
   • Define and identify critical numbers
   • Define and identify local extrema
   • Define and identify global extrema
   • Solve stated related rates problems
   • Solve stated optimization problems
   • State and employ the Concavity Theorem
   • Define and identify inflection points
   • Use analysis to sketch the graph of a curve
3. INTEGRATION
   • Define and find antiderivatives
   • Define the indefinite integral
   • Define the definite integral
   • State and employ the Fundamental Theorem of Calculus
   • Integrate using tables of integration
   • Integrate by substitution
   • Integrate by parts
   • Approximate areas using Riemann Sums
   • Evaluate areas and net areas using definite integrals
   • Calculate the area between curves
   • Apply integration to real-world problems