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Chapter 1 FUNCTIONS

Section 1.1: Function Basics And Simple Graphing
Section 1.1: Domains And Ranges
Section 1.2: Function Application Problems
Section 1.2: Linear Equations And Housing Prices

Chapter 2 THE DERIVATIVE

Section 2.3: Exercises And Information On Derivatives
Section 2.4: Continuous Functions In The Real World
Section 2.5: Visualization Of Limits

Chapter 3 ALGEBRAIC DIFFERENTIATION AND ITS APPLICATIONS

Section 3.1: Rules Of Differentiation
Section 3.1: Derivative Of A Function
Section 3.5: In The Kitchen With Mama Max-Min Application Problem
Section 3.6: Wiley Coyote Application Of Max

Chapter 4 EXPONENTIAL AND LOGARITHMIC FUNCTIONS

Section 4.1: Exponential Functions
Section 4.2: The Product Rules
Section 4.2: The Quotient Rule
Section 4.3: Application Of The Chain Rule
Section 4.4: Logarithmic Functions

Chapter 5 APPLICATIONS OF THE EXPONENTIAL AND LOGARITHMIC FUNCTIONS

Section 5.1: Logarithms And Modeling
Section 5.1: Sequences -- Population Models
Section 5.1: Population Word Problem

Chapter 6 ANTIDIFFERENTIATION AND DIFFERENTIAL EQUATIONS

Section 6.1: Integration
Section 6.1: The Integrator
Section 6.1: Antidifferentiation
Section 6.1: Antidifferentiation Problem
Section 6.4: Interaction Between Mathematics And Various Branches Of Science

Chapter 7 THE DEFINITE INTEGRAL

Section 7.1: Riemann Sum Java Applet
Section 7.4: Applet For Volume Of A Solid Of Revolution
Section 7.6: Key To Doing Integration By Parts
Section 7.6: The Most Common Cases For Integration By Parts

Chapter 8 FUNCTIONS OF SEVERAL VARIABLES

Section 8.1: Functions Of Several Variables
Section 8.2: Partial Derivatives
Section 8.3: The Effect Of The Sun On The Tides In Long Island Sound
Section 8.4: Lagrange Multipliers
 
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Updated May 19, 1999
Updated Nov. 20, 1998
Updated Sep. 10, 1998