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:	450-500 pts = A (numerical grade of 90-100) 400-449 pts = B (numerical grade of 80-89) 350-399 pts = C (numerical grade of 71-79) 300-349 pts = D (numerical grade of 70) 000-300 pts = F (numerical grade of 50-69)
METAPHOR:	Sisyphus Strugges against the Derivative

GRADING COMPONENT	POINTS
QUIZZES & APPLICATION EXERCISES	100
Limits Exam	100
Differentiation Exam	100
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 (but they can be submitted early).

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 18 is the last day to drop the class.

MAKEUP POLICY:
Quizzes cannot be made up. The final exam cannot be made up. Other exams can be made up if the student can show good cause for missing the exam. Application exercises cannot be made up (but they can be submitted early). 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. Cell phones should not be used in class. Cell phone usage during an exam warrants a grade of zero.

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 29/31	Limits	Limits, Precise Definition
Sept 5/7	HOLIDAY	Limit Properties
Sept 12/14	Continuity	Sisyphus & Derivative Velocity & Derivative
Sept 19/21	Derivative as Function Review Problems	LIMITS EXAM
Sept 26/28	Differentiation	Product & Quotient Rules
Oct 3/5	Chain Rule	Differentiation with Trigonometric & e^x
Oct 10/12	Implicit Differentiation	Logarithmic Differentiation
Oct 17/19	Related Rates	Review Problems
Oct 24/26	DIFFERENTIATION EXAM	Linearization
Oct 31/Nov 2	Applications of Continuity & Limits	L'Hospital's Rule
Nov 7/9	Behavior Theorem	Concavity & Inflection
Nov 14/16	Extreme Value Theorem	Optimization
Nov 21/23	Antiderivatives & Indefinite Integral	HOLIDAY
Nov 28/30	Riemann Sum	Fundamental Theorem of Calculus
Dec 5/7	Integration by Substitution	Integration by Parts
Dec 12-15 FINALS WEEK	Practice Problems for Final	More Practice for Final

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

DATES	TUESDAY LECTURE	THURSDAY LECTURE
Aug 30/Sept 1	Limits	Limits, Precise Definition
Sept 6/8	Limit Properties	Continuity
Sept 13/15	Sisyphus & Derivative Velocity & Derivative	Derivative as Function Review Problems
Sept 20/22	LIMITS EXAM	Differentiation
Sept 27/29	Product & Quotient Rules	Chain Rule
Oct 4/6	Differentiation with Trigonometric & e^x	Implicit Differentiation
Oct 11/13	Logarithmic Differentiation	Related Rates
Oct 18/20	Review Problems	DIFFERENTIATION EXAM
Oct 25/27	Linearization	Applications of Continuity & Limits
Nov 1/3	L'Hospital's Rule	Behavior Theorem
Nov 8/10	Concavity & Inflection	Extreme Value Theorem
Nov 15/17	Optimization	Antiderivatives & Indefinite Integral
Nov 22/24	Riemann Sum	HOLIDAY
Nov 29/Dec 1	Fundamental Theorem of Calculus	Integration by Substitution
Dec 6/8	Integration by Parts	DEAD DAY
Dec 12-15 FINALS WEEK	Practice Problems for Final	More Practice for Final

Mini-Lecture Videos by patrickJMT:

LECTURES	VIDEO	VIDEO 2	VIDEO 3
1. Understanding Limits 2. Squeeze Theorem 3. A Special Limit
1. Calculating Limits 2. Calculating Limits 3. Calculating Limits
1. Difference Quotient (a review) 2. Difference Quotient (a review) 3. Derivative by Definition
1. Product Rule 2. Quotient Rule 3.
1. Chain Rule (Hard Example) 2. Chain Rule with Product Rule 3. Finding Tangent Line Equations
1. d/dx(e^x) 2. Chain Rule Trig Examples 3.
1. Implicit Differentiation 2. Log Function Derivatives 3. Logarithmic Differentiation
1. Linearization 2. Related Rates 3. Related Rates
1. Intermediate Value Theorem 2. Mean Value Theorem 3.
1. L'Hospital's Rule 2. L'Hospital's Rule with Indeterminant Powers 3.
1. Using Behavior Theorem 2. Local Extrema 3. Optimization
1. Antiderivatives 2. Riemann Sum 3. Definite Integral
1. FTC 2. Integration by Substitution 3. Integration by Parts

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