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. April 9 is the last day to drop the class (& the college may close 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 dishonesty 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. The instructor also recommends videos by PatrickJMT.

COMPANION TEXT to STEWART's CALCULUS: CONCEPTS & CONTEXTS

Companion Text to Stewart's Calculus

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

DATES	TUESDAY LECTURE	THURSDAY LECTURE
Jan 12/14	First Day: Limits	Second Day: Limit Properties
Jan 19/21	Continuity	Sisyphus & Derivative
Jan 26/28	Velocity & Derivative	Derivative as Function
Feb 2/4	Differentiation	Product & Quotient Rules
Feb 9/11	Chain Rule	Differentiation with Trigonometric & e^x Functions
Feb 16/18	Implicit Differentiation	Differentiation of LN & Logarithmic Differentiation
Feb 23/25	Linearization	REVIEW
Mar 2/4	MIDTERM EXAM	Related Rates
Mar 9/11	Applications of Continuity & Limits	Behavior Theorem
Mar 15-18	SPRING BREAK	SPRING BREAK
Mar 23/25	Extreme Value Theorem	Concavity & Inflection
Mar 30/Apr 1	Optimization	L'Hospital's Rule
Apr 6/8	Antiderivatives & Indefinite Integral	Riemann Sum
Apr 13/15	Fundamental Theorem of Calculus	Integration by Substitution
Apr 20/22	Integration by Parts	An Extra Day on Integration
Apr 27/29	Area Between 2 Curves	Practice Problems for Final
May 3-6	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