INSTRUCTOR:	Randell Simpson
PHONE:	298-8372, 1-800-460-4636-8372
FAX:	298-8347
EMAIL:	randell@templejc.edu
WEB ADDRESS:	www.templejc.edu/dept/Math/RSimpson/Simpson.htm
TEXTBOOK:	Calculus: Concepts & Contexts by James Stewart (any edition)
EVALUATION:	450 pts = A; 400 pts = B; 350 pts = C; 300 pts = D; <300 pts = F

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

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.

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.

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 14 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, they should contact the instructor as soon as possible. A different version of the midterm exam will be made available in the testing center for make up purposes. This version will be a more challenging version of the normal exam. 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.

LECTURE SCHEDULE (subject to change during the semester):

DATES	LECTURE M	LECTURE T	LECTURE W	LECTURE Th
Aug 25-28	Companion Text to Stewart's Calculus	Companion text contains examples, suggested homework, possible exam problems, & application exercises.	Limits	Limits
Sept 1-4	HOLIDAY	Limits (continued)	Limits (continued)	Limit Properties
Sept 8-11	Limits Properties	Continuity	Continuity	Sisyphus & Derivative
Sept 15-18	Sisyphus & Derivative	Velocity & Derivative	Velocity & Derivative	Derivative as Function
Sept 22-25	Derivative as Function	Differentiation	Differentiation	Product & Quotient Rules
Sept 29-Oct 2	Product & Quotient Rules	Chain Rule	Chain Rule	Differentiation with Trigonometric & e^x Functions
Oct 6-9	Differentiation with Trigonometric & e^x Functions	Implicit Differentiation	Implicit Differentiation	Differentiation of LN & Logarithmic Differentiation
Oct 13-16	Differentiation of LN & Logarithmic Differentiation	REVIEW	REVIEW	MIDTERM EXAM
Oct 20-23	MIDTERM EXAM	Linearization	Linearization	Related Rates
Oct 27-30	Related Rates	Applications of Continuity & Limits	Applications of Continuity & Limits	Behavior Theorem
Nov 3-6	Behavior Theorem	Extreme Value Theorem	Extreme Value Theorem	Concavity & Inflection
Nov 10-13	Concavity & Inflection	Optimization	Optimization	L'Hospital's Rule
Nov 17-20	L'Hospital's Rule	Antiderivatives & Indefinite Integral	Antiderivatives & Indefinite Integral	Riemann Sum
Nov 24-27	Riemann Sum	Fundamental Theorem of Calculus	HOLIDAY	HOLIDAY
Dec 1-4	Fundamental Theorem of Calculus	Integration by Substitution	Integration by Substitution	Area Between 2 Curves
Dec 8-11	Area Between 2 Curves	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