Calculus And Its Applications

Hardcover | December 24, 2014

byMarvin L. Bittinger, David J. Ellenbogen, Scott J. Surgent

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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.

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NOTE: You are purchasing a standalone product; MyMathLab does not come packaged with this content. If you wouldlike to purchase both the physical text and MyMathLab, search for: 013379556X / 9780133795561           Calculus And Its Applications Plus MyMathLab with Pearson eText -- Access Card Package Package consists of:  0321431308 /...

Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University Purdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematic...

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Format:HardcoverDimensions:672 pages, 10.9 × 8.6 × 1.1 inPublished:December 24, 2014Publisher:Pearson EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0321979397

ISBN - 13:9780321979391

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Extra Content

Table of Contents

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 Review

 

Appendix A: Review of Basic Algebra

Appendix B: Regression and Microsoft Excel

Table A: Areas for a Standard Normal Distribution

 

Answers

Index of Applications

Index

Additional Instructor’s Answers

 

Calculus and Its Applications: Expanded Version (ISBN: 978-0-321-83820-9) contains these additional chapters:

7. Trigonometric Functions

8. Differential Equations

9. Sequences and Series

10. Probability Distributions