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CHAPTER 0 FUNCTIONS

Section 0.1: Domains And Ranges
Section 0.2: Function Basics And Simple Graphing
Section 0.6: Function Application Problems
Section 0.6: Linear Equations And Housing Prices

CHAPTER 1 THE DERIVATIVE

Section 1.1: Difference Quotient And Rate Of Change 
Section 1.2: Derivative And The Slope Of Secant Line 
Section 1.2: Slope Of A Tangent Line And Instantaneous Velocity 
Section 1.3: Exercises And Information On Derivatives
Section 1.4: Visualization Of Limits

CHAPTER 2 APPLICATIONS OF THE DERIVATIVE

Section 2.1: Continuous Functions In The Real World
Section 2.5: In The Kitchen With Mama-Max-Min Application Problem
Section 2.6: Wiley Coyote Application Of Max-Min

CHAPTER 3 TECHNIQUES OF DIFFERENTIATION

Section 3.1: The Product Rules
Section 3.1: The Quotient Rule
Section 3.2: Application Of The Chain Rule
Section 3.3: Computing tThe Derivative Implicitly

CHAPTER 4 THE EXPONENTIAL AND NATURAL LOGARITHM FUNCTIONS

Section 4.1: Exponential Functions
Section 4.1: Exponential Decay 
Section 4.1: Putting Exponential Growth In Perspective 
Section 4.4: Modelling Exponential Growth - Using Logarithms 
Section 4.4: The Natural Logarithmic Base 
Section 4.4: How To Graph A Logarithmic Function 
Section 4.4: Properties Of Logarithms 
Section 4.4: Logarithmic Functions

CHAPTER 5 APPLICATIONS OF THE EXPONENTIAL AND NATURAL LOGARITHM FUNCTIONS

Section 5.1: Logarithms and Modeling
Section 5.1: Population Word Problem

CHAPTER 6 THE DEFINITE INTEGRAL

Section 6.1: The Integrator
Section 6.2: Riemann Sum Java Applet
Section 6.5: Applet For Volume Of A Solid Of Revolution
Section 6.6: The Most Common Cases For Intergration By Parts

CHAPTER 7 FUNCTIONS OF SEVERAL VARIABLES

Section 7.1: Functions Of Several Variables
Section 7.2: Visualizing Partial Derivatives 
Section 7.3: Finding Local Extrema 
Section 7.3: Maxima And Minima 
Section 7.3: The Effect Of The Sun On The Tides In Long Island Sound
Section 7.4: The LaGrange Multiplier Method Problems 
Section 7.5: Least Squares Analysis 

CHAPTER 8 THE TRIGONOMETRIC FUNCTIONS

Section 8.2: Trigonometry Functions 
Section 8.2: The Unit Circle and Trigonometric Functions 
Section 8.4: Integration Techniques For Trigonometric Functions
Section 8.4: Trigonometric Functions

 
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Updated May 19, 1999
Updated Nov. 20, 1998
Updated Sep. 10, 1998