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Chapter 1 A Beginning Library of Elementary Functions
Section 1.1: TI-82 TutorialSection 1.2: Function Notation And Terminology
Section 1.2: Domain And Range
Section 1.3: Transformations Of Functions: Shifting And Compressing/Stretching
Section 1.4: Linear Functions
Section 1.4: Graphing Linear Functions
Section 1.4: Use Of The Slope Intercept Formula In Chemistry And Physics
Section 1.5: Understanding Quadratic Functions
Chapter 2 Additional Elementary Functions
Section 2.1: A Look At AsymptotesSection 2.2: Modelling Exponential Growth - Using Logarithms
Section 2.2: Putting Exponential Growth In Perspective
Section 2.2: Exponential Decay
Section 2.3: Properties of Logarithms
Section 2.3: How To Graph A Logarithmic Function
Section 2.4: Use Of Linear Regression In Trading Stocks
Chapter 3 The Derivative
Section 3.1: Average VelocitySection 3.1: Slope Of A Tangent Line And Instantaneous Velocity
Section 3.1: Derivative And The Slope Of Secant Line
Section 3.1: Difference Quotient And Rate Of Change
Section 3.2: Properties Of Limits With Examples
Section 3.3: Interpretation Of The Derivative
Section 3.3: Derivative Definition Java Applet
Section 3.5: Methods Of Finding The Derivative Function
Section 3.6: The Chain Rule
Section 3.6: Chain Rule Applications
Chapter 4 Graphing and Optimization
Section 4.1: Continuity: Real Life ExamplesSection 4.1: Continuity Of Functions
Section 4.2: Monotonic Functions
Section 4.2: Drill - First Derivative Test
Section 4.3: Second Derivative Test
Section 4.4: Infinite Limits And Asymptotes
Section 4.5: Calculus Project: Maximizing Profit By Controlling Price
Chapter 5 Additional Derivative Topics
Section 5.1: Interest TutorialSection 5.3: The Chain Rule
Section 5.5: Related Rates
Chapter 6 Integration
Section 6.1: History Of IntegrationSection 6.1: Antidifferentiation Program
Section 6.2: Techniques Of Integration: Substitution
Section 6.4: Definite Integral Of A Function
Section 6.5: Graphical Program To Explain Reimann Sums
Section 6.5: Numerical Integration
Section 6.5: Fundamental Theorem Of Calculus
Chapter 7 Additional Integration Topics
Section 7.1: Area Between CurvesSection 7.3: Examples Of Integration By Parts
Chapter 8 Multivariable Calculus
Section 8.1: Use Of Cobb-Douglas Production Function In Real LifeSection 8.2: Visualizing Partial Derivatives
Section 8.3: Maxima And Minima
Section 8.3: Finding Local Extrema
Section 8.4: The LaGrange Multiplier Method Problems
Section 8.5: Least Squares Analysis
Section 8.6: Integrals Over General Regions
Chapter 9 Differential Equations
Section 9.1: Slope FieldsSection 9.2: The Method Of Separation Of Variables
Section 9.3: Tips For Solving Elementary Differential Equations
Section 9.3: First Order Linear Differential Equations
Chapter 10 Trigonometric Functions
Section 10.1: The Unit Circle and Trigonometric FunctionsSection 10.1: Trigonometry Functions
Section 10.3: Integrals Of Trigonometric Functions
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© 1998 Prentice-Hall, Inc. A Simon & Schuster Company Upper Saddle River, New Jersey 07458 Updated May 19, 1999 Updated Feb. 12, 1999 |