Calculus Concepts An Applied Approach to the Mathematics of Change, Brief Edition

by LaTorre, Donald R.; Kenelly, John W.; Reed, Iris B.; Carpenter, Laurel R.; Harris, Cynthia R.

• ISBN13: 9780618789825
• ISBN10: 0618789820
• Edition: 4th
• Format: Paperback
• Copyright: 2007-03-14
• Publisher: Cengage Learning

Summary

For a full description, see the catalog entry for LaTorre et al., Calculus Concepts, 4/e.

Table of Contents

Ingredients of Change: Functions and Models

Models and Functions

Linear Functions and Models

Exponential and Logarithmic Functions and Models

Logistic Functions and Models

Polynomial Functions and Models

Describing Change: Rates

Change, Percentage Change, and Average Rates of Change

Instantaneous Rates of Change

Derivative Notation and Numerical Estimates

Algebraically Finding Slopes

Determining Change: Derivatives

Drawing Rate-of-Change Graphs

Simple Rate-of-Change Formulas

Exponential and Logarithmic Rate-of-Change Formulas

The Chain Rule

The Product Rule

Limiting Behavior Revisited: L'H?pital's Rule

Analyzing Change: Applications of Derivatives

Approximating Change

Relative and Absolute Extreme Points

Inflection Points

Interconnected Change: Related Rates

Accumulating Change: Limits of Sums and the Definite Integral

Results of Change and Area Approximations

Accumulation Functions

The Fundamental Theorem

The Definite Integral

Average Value and Average Rate of Change

Integration by Substitution or Algebraic Manipulation

Analyzing Accumulated Change: Integrals in Action

Perpetual Accumulation and Improper Integrals

Streams in Business and Biology

Integrals in Economics

Probability Distributions and Density Functions

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