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by Geoffrey C. Berresford and Andrew M. Rockett

Edition: 3RD 04Copyright: 2004

Publisher: Houghton Mifflin Harcourt

Published: 2004

International: No

Geoffrey C. Berresford and Andrew M. Rockett

Edition: 3RD 04
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This text for the one- or two-semester applied or business calculus course uses intriguing real-world applications to engage students' interest and show them the practical side of calculus. Integrated use of graphing calculators, combined with thought-provoking writing exercises, give students a well-rounded mathematical experience. Brief Applied Calculus has been praised by reviewers for its optional integration of technology and its strong pedagogy, which includes unique end-of-section summaries.

- New! For added convenience and motivation, complete Solutions to Practice Problems are now placed between the Section Summary and Section Exercises, rather than in an appendix.
- New! An updated design provides a cleaner and more modern presentation to promote student success and understanding.
- New! An enhanced technology package includes a free CD-ROM packaged automatically with the purchase of every new text.
- New! Sections of the text have been written to appeal to the business-minded student.
- The interesting, contemporary applications that have made this text popular with instructors and students are drawn from a wide range of fields, including athletics, biomedical sciences, environmental sciences, management science and business, personal finance and management, social and behavioral sciences. Applications are labeled by subject for easy identification, and the text's many real-world examples also are identified by a globe icon.
- Integrated yet optional graphing calculator coverage includes boxed Graphing Calculator Explorations and Exercises (identified by an icon), which explore new topics, carry out otherwise long calculations, or show the limitations and pitfalls of technology. Any graphing calculator (or a computer graphing program) may be used. References in the text are from the TI-83 graphing calculator. References to the TI-89 are also included where appropriate.
- Consistent pedagogical reinforcement includes unique Section Summaries that briefly state essential formulas and key concepts and help with test and quiz preparation; Chapter Summary with Hints and Suggestions that review key concepts of a chapter with references to specific review exercises; and Extra Practice Problems provided after selected worked-out examples, with full solutions at the end of the section.
- A variety of exercises and assignment options include Exercise Sets that increase in difficulty and allow instructors to customize homework. Projects and Essays, with opportunities for collaborative, critical- thinking, and writing exercises are included on the textbook web site and CD-ROM.
- Cumulative Review Exercises at the end of selected chapters give students an easy way to review and reinforce previously learned concepts and skills.

**Berresford, Geoffrey C. : Long Island University**

Rockett, Andrew M. : Long Island University

*Note: Each chapter concludes with a Chapter Summary and Review Exercises. *

Index of Selected Applications

Graphing Calculator Terminology

1. Functions

1.1 Real Numbers, Inequalities, and Lines

1.2 Exponents

1.3 Functions

1.4 Functions, Continued

2. Derivatives and Their Uses

2.1 Limits and Continuity

2.2 Rates of Change, Slopes, and Derivatives

2.3 Some Differentiation Formulas

2.4 The Product and Quotient Rules

2.5 Higher-Order Derivatives

2.6 The Chain Rule and Generalized Power Rule

2.7 Nondifferentiable Functions

3. Further Applications of Derivatives

3.1 Graphing Using the First Derivative

3.2 Graphing Using the First and Second Derivatives

3.3 Optimization

3.4 Further Applications of Optimization

3.5 Optimizing Lot Size and Harvest Size

3.6 Implicit Differentiation and Related Rates

Cumulative Review for Chapters 1-3

4. Exponential and Logarithmic Functions

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Differentiation of Logarithmic and Exponential Functions

4.4 Two Applications to Economics: Related Rates and Elasticity of Demand

5. Integration and Its Applications

5.1 Antiderivatives and Indefinite Integrals

5.2 Integration Using Logarithmic and Exponential Functions

5.3 Definite Integrals and Areas

5.4 Further Applications of Definite Integrals: Average Value and Area Between Curves

5.5 Two Applications to Economics: Consumers' Surplus and Income Distribution

5.6 Integration by Substitution

6. Integration Techniques

6.1 Integration by Parts

6.2 Integration Using Tables

6.3 Improper Integrals

6.4 Numerical Integration

7. Calculus of Several Variables

7.1 Functions of Several Variables

7.2 Partial Derivatives

7.3 Optimizing Functions of Several Variables

7.4 Least Squares

7.5 Lagrange Multipliers and Constrained Optimization

7.6 Total Differentials and Approximate Changes

7.7 Multiple Integrals

Cumulative Review for Chapters 1-7

8. Trigonometric Functions

8.1 Triangles, Angles, and Radian Measure

8.2 Sine and Cosine Functions

8.3 Derivatives of Sine and Cosine Functions

8.4 Integrals of Sine and Cosine Functions

8.5 Other Trigonometric Functions

9. Differential Equations

9.1 Separation of Variables

9.2 Further Applications of Differential Equations: Three Models of Growth

9.3 First-Order Linear Differential Equations

9.4 Approximate Solutions of Differential Equations: Euler's Method

10. Sequences and Series

10.1 Geometric Series

10.2 Taylor Polynomials

10.3 Taylor Series

10.4 Newton's Method

11. Probability

11.1 Discrete Probability

11.2 Continuous Probability

11.3 Uniform and Exponential Random Variables

11.4 Normal Random Variables

Cumulative Review for Chapters 1-11

Appendix: Normal Probabilities from Tables

Answers to Selected Exercises

Definitions, Formulas, and Properties

Summary

This text for the one- or two-semester applied or business calculus course uses intriguing real-world applications to engage students' interest and show them the practical side of calculus. Integrated use of graphing calculators, combined with thought-provoking writing exercises, give students a well-rounded mathematical experience. Brief Applied Calculus has been praised by reviewers for its optional integration of technology and its strong pedagogy, which includes unique end-of-section summaries.

- New! For added convenience and motivation, complete Solutions to Practice Problems are now placed between the Section Summary and Section Exercises, rather than in an appendix.
- New! An updated design provides a cleaner and more modern presentation to promote student success and understanding.
- New! An enhanced technology package includes a free CD-ROM packaged automatically with the purchase of every new text.
- New! Sections of the text have been written to appeal to the business-minded student.
- The interesting, contemporary applications that have made this text popular with instructors and students are drawn from a wide range of fields, including athletics, biomedical sciences, environmental sciences, management science and business, personal finance and management, social and behavioral sciences. Applications are labeled by subject for easy identification, and the text's many real-world examples also are identified by a globe icon.
- Integrated yet optional graphing calculator coverage includes boxed Graphing Calculator Explorations and Exercises (identified by an icon), which explore new topics, carry out otherwise long calculations, or show the limitations and pitfalls of technology. Any graphing calculator (or a computer graphing program) may be used. References in the text are from the TI-83 graphing calculator. References to the TI-89 are also included where appropriate.
- Consistent pedagogical reinforcement includes unique Section Summaries that briefly state essential formulas and key concepts and help with test and quiz preparation; Chapter Summary with Hints and Suggestions that review key concepts of a chapter with references to specific review exercises; and Extra Practice Problems provided after selected worked-out examples, with full solutions at the end of the section.
- A variety of exercises and assignment options include Exercise Sets that increase in difficulty and allow instructors to customize homework. Projects and Essays, with opportunities for collaborative, critical- thinking, and writing exercises are included on the textbook web site and CD-ROM.
- Cumulative Review Exercises at the end of selected chapters give students an easy way to review and reinforce previously learned concepts and skills.

Author Bio

**Berresford, Geoffrey C. : Long Island University**

Rockett, Andrew M. : Long Island University

Table of Contents

*Note: Each chapter concludes with a Chapter Summary and Review Exercises. *

Index of Selected Applications

Graphing Calculator Terminology

1. Functions

1.1 Real Numbers, Inequalities, and Lines

1.2 Exponents

1.3 Functions

1.4 Functions, Continued

2. Derivatives and Their Uses

2.1 Limits and Continuity

2.2 Rates of Change, Slopes, and Derivatives

2.3 Some Differentiation Formulas

2.4 The Product and Quotient Rules

2.5 Higher-Order Derivatives

2.6 The Chain Rule and Generalized Power Rule

2.7 Nondifferentiable Functions

3. Further Applications of Derivatives

3.1 Graphing Using the First Derivative

3.2 Graphing Using the First and Second Derivatives

3.3 Optimization

3.4 Further Applications of Optimization

3.5 Optimizing Lot Size and Harvest Size

3.6 Implicit Differentiation and Related Rates

Cumulative Review for Chapters 1-3

4. Exponential and Logarithmic Functions

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Differentiation of Logarithmic and Exponential Functions

4.4 Two Applications to Economics: Related Rates and Elasticity of Demand

5. Integration and Its Applications

5.1 Antiderivatives and Indefinite Integrals

5.2 Integration Using Logarithmic and Exponential Functions

5.3 Definite Integrals and Areas

5.4 Further Applications of Definite Integrals: Average Value and Area Between Curves

5.5 Two Applications to Economics: Consumers' Surplus and Income Distribution

5.6 Integration by Substitution

6. Integration Techniques

6.1 Integration by Parts

6.2 Integration Using Tables

6.3 Improper Integrals

6.4 Numerical Integration

7. Calculus of Several Variables

7.1 Functions of Several Variables

7.2 Partial Derivatives

7.3 Optimizing Functions of Several Variables

7.4 Least Squares

7.5 Lagrange Multipliers and Constrained Optimization

7.6 Total Differentials and Approximate Changes

7.7 Multiple Integrals

Cumulative Review for Chapters 1-7

8. Trigonometric Functions

8.1 Triangles, Angles, and Radian Measure

8.2 Sine and Cosine Functions

8.3 Derivatives of Sine and Cosine Functions

8.4 Integrals of Sine and Cosine Functions

8.5 Other Trigonometric Functions

9. Differential Equations

9.1 Separation of Variables

9.2 Further Applications of Differential Equations: Three Models of Growth

9.3 First-Order Linear Differential Equations

9.4 Approximate Solutions of Differential Equations: Euler's Method

10. Sequences and Series

10.1 Geometric Series

10.2 Taylor Polynomials

10.3 Taylor Series

10.4 Newton's Method

11. Probability

11.1 Discrete Probability

11.2 Continuous Probability

11.3 Uniform and Exponential Random Variables

11.4 Normal Random Variables

Cumulative Review for Chapters 1-11

Appendix: Normal Probabilities from Tables

Answers to Selected Exercises

Definitions, Formulas, and Properties

Publisher Info

Publisher: Houghton Mifflin Harcourt

Published: 2004

International: No

Published: 2004

International: No

This text for the one- or two-semester applied or business calculus course uses intriguing real-world applications to engage students' interest and show them the practical side of calculus. Integrated use of graphing calculators, combined with thought-provoking writing exercises, give students a well-rounded mathematical experience. Brief Applied Calculus has been praised by reviewers for its optional integration of technology and its strong pedagogy, which includes unique end-of-section summaries.

- New! For added convenience and motivation, complete Solutions to Practice Problems are now placed between the Section Summary and Section Exercises, rather than in an appendix.
- New! An updated design provides a cleaner and more modern presentation to promote student success and understanding.
- New! An enhanced technology package includes a free CD-ROM packaged automatically with the purchase of every new text.
- New! Sections of the text have been written to appeal to the business-minded student.
- The interesting, contemporary applications that have made this text popular with instructors and students are drawn from a wide range of fields, including athletics, biomedical sciences, environmental sciences, management science and business, personal finance and management, social and behavioral sciences. Applications are labeled by subject for easy identification, and the text's many real-world examples also are identified by a globe icon.
- Integrated yet optional graphing calculator coverage includes boxed Graphing Calculator Explorations and Exercises (identified by an icon), which explore new topics, carry out otherwise long calculations, or show the limitations and pitfalls of technology. Any graphing calculator (or a computer graphing program) may be used. References in the text are from the TI-83 graphing calculator. References to the TI-89 are also included where appropriate.
- Consistent pedagogical reinforcement includes unique Section Summaries that briefly state essential formulas and key concepts and help with test and quiz preparation; Chapter Summary with Hints and Suggestions that review key concepts of a chapter with references to specific review exercises; and Extra Practice Problems provided after selected worked-out examples, with full solutions at the end of the section.
- A variety of exercises and assignment options include Exercise Sets that increase in difficulty and allow instructors to customize homework. Projects and Essays, with opportunities for collaborative, critical- thinking, and writing exercises are included on the textbook web site and CD-ROM.
- Cumulative Review Exercises at the end of selected chapters give students an easy way to review and reinforce previously learned concepts and skills.

**Berresford, Geoffrey C. : Long Island University**

Rockett, Andrew M. : Long Island University

*Note: Each chapter concludes with a Chapter Summary and Review Exercises. *

Index of Selected Applications

Graphing Calculator Terminology

1. Functions

1.1 Real Numbers, Inequalities, and Lines

1.2 Exponents

1.3 Functions

1.4 Functions, Continued

2. Derivatives and Their Uses

2.1 Limits and Continuity

2.2 Rates of Change, Slopes, and Derivatives

2.3 Some Differentiation Formulas

2.4 The Product and Quotient Rules

2.5 Higher-Order Derivatives

2.6 The Chain Rule and Generalized Power Rule

2.7 Nondifferentiable Functions

3. Further Applications of Derivatives

3.1 Graphing Using the First Derivative

3.2 Graphing Using the First and Second Derivatives

3.3 Optimization

3.4 Further Applications of Optimization

3.5 Optimizing Lot Size and Harvest Size

3.6 Implicit Differentiation and Related Rates

Cumulative Review for Chapters 1-3

4. Exponential and Logarithmic Functions

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Differentiation of Logarithmic and Exponential Functions

4.4 Two Applications to Economics: Related Rates and Elasticity of Demand

5. Integration and Its Applications

5.1 Antiderivatives and Indefinite Integrals

5.2 Integration Using Logarithmic and Exponential Functions

5.3 Definite Integrals and Areas

5.4 Further Applications of Definite Integrals: Average Value and Area Between Curves

5.5 Two Applications to Economics: Consumers' Surplus and Income Distribution

5.6 Integration by Substitution

6. Integration Techniques

6.1 Integration by Parts

6.2 Integration Using Tables

6.3 Improper Integrals

6.4 Numerical Integration

7. Calculus of Several Variables

7.1 Functions of Several Variables

7.2 Partial Derivatives

7.3 Optimizing Functions of Several Variables

7.4 Least Squares

7.5 Lagrange Multipliers and Constrained Optimization

7.6 Total Differentials and Approximate Changes

7.7 Multiple Integrals

Cumulative Review for Chapters 1-7

8. Trigonometric Functions

8.1 Triangles, Angles, and Radian Measure

8.2 Sine and Cosine Functions

8.3 Derivatives of Sine and Cosine Functions

8.4 Integrals of Sine and Cosine Functions

8.5 Other Trigonometric Functions

9. Differential Equations

9.1 Separation of Variables

9.2 Further Applications of Differential Equations: Three Models of Growth

9.3 First-Order Linear Differential Equations

9.4 Approximate Solutions of Differential Equations: Euler's Method

10. Sequences and Series

10.1 Geometric Series

10.2 Taylor Polynomials

10.3 Taylor Series

10.4 Newton's Method

11. Probability

11.1 Discrete Probability

11.2 Continuous Probability

11.3 Uniform and Exponential Random Variables

11.4 Normal Random Variables

Cumulative Review for Chapters 1-11

Appendix: Normal Probabilities from Tables

Answers to Selected Exercises

Definitions, Formulas, and Properties