Calculus And Its Applications, Global Edition, 11th edition

Published by Pearson (July 22, 2015) © 2015

  • Marvin L. Bittinger Indiana University Indianapolis
  • David J. Ellenbogen Community College of Vermont
  • Scott J. Surgent Arizona State University
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Calculus and Its Applications, Eleventh Edition, remains a best-selling text because of its accessible presentation that anticipates student needs. The writing style is ideal for today’s students, providing intuitive explanations that work with the carefully crafted artwork to help them visualize new calculus concepts. Additionally, the text’s numerous and up-to-date applications from business, economics, life sciences, and social sciences help motivate students. Algebra diagnostic and review material is available for those who need to strengthen basic skills. Every aspect of this revision is designed to motivate and help students to more readily understand and apply the mathematics.

R. Functions, Graphs, and Models

R.1 Graphs and Equations

R.2 Functions and Models

R.3 Finding Domain and Range

R.4 Slope and Linear Functions

R.5 Nonlinear Functions and Models

R.6 Mathematical Modeling and Curve Fitting

   Chapter Summary

   Chapter Review Exercises

   Chapter Test

   Extended Technology Application Average Price of a Movie Ticket

 

1. Differentiation

1.1 Limits: A Numerical and Graphical Approach

1.2 Algebraic Limits and Continuity

1.3 Average Rates of Change

1.4 Differentiation Using Limits of Difference Quotients

1.5 The Power and Sum—Difference Rules

1.6 The Product and Quotient Rules

1.7 The Chain Rule

1.8 Higher-Order Derivatives

   Chapter Summary

   Chapter Review Exercises

   Chapter Test

   Extended Technology Application–Path of a Baseball: The Tale of the Tape

 

2. Applications of Differentiation

2.1 Using First Derivatives to Classify Maximum and Minimum Values and Sketch Graphs

2.2 Using Second Derivatives to Classify Maximum and Minimum Values and Sketch Graphs

2.3 Graph Sketching: Asymptotes and Rational Functions

2.4 Using Derivatives to Find Absolute Maximum and Minimum Values

2.5 Maximum—Minimum Problems; Business, Economics, and General Applications

2.6 Marginals and Differentials

2.7 Elasticity of Demand

2.8 Implicit Differentiation and Related Rates

   Chapter Summary

   Chapter Review Exercises

   Chapter Test

   Extended Technology Application–Maximum Sustainable Harvest

 

3. Exponential and Logarithmic Functions

3.1 Exponential Functions

3.2 Logarithmic Functions

3.3 Applications: Uninhibited and Limited Growth Models

3.4 Applications: Decay

3.5 The Derivatives of ax and loga x

3.6 A Business Application: Amortization

   Chapter Summary

   Chapter Review Exercises

   Chapter Test

   Extended Technology Application–The Business of Motion Picture Revenue and DVD Release

 

4. Integration

4.1 Antidifferentiation

4.2 Antiderivatives as Areas

4.3 Area and Definite Integrals

4.4 Properties of Definite Integrals

4.5 Integration Techniques: Substitution

4.6 Integration Techniques: Integration by Parts

4.7 Integration Techniques: Tables

   Chapter Summary

   Chapter Review Exercises

   Chapter Test

   Extended Technology Application–Business: Distribution of Wealth

 

5. Applications of Integration

5.1 Consumer Surplus and Producer Surplus

5.2 Integrating Growth and Decay Models

5.3 Improper Integrals

5.4 Probability

5.5 Probability: Expected Value; The Normal Distribution

5.6 Volume

5.7 Differential Equations

   Chapter Summary

   Chapter Review Exercises

   Chapter Test

   Extended Technology Application–Curve Fitting and Volumes of Containers

 

6. Functions of Several Variables

6.1 Functions of Several Variables

6.2 Partial Derivatives

6.3 Maximum—Minimum Problems

6.4 An Application: The Least-Squares Technique

6.5 Constrained Optimization

6.6 Double Integrals

   Chapter Summary

   Chapter Review Exercises

   Chapter Test

   Extended Technology Application–Minimizing Employees’ Travel Time in a Building

 

Cumulative Revi

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