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by Geoffrey C. Berresford and Andrew M. Rockett

Edition: 2ND 00Copyright: 2000

Publisher: Houghton Mifflin Harcourt

Published: 2000

International: No

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This brief version of Berresford's applied calculus text consists of Chapters 1-7 of his *Calculus,* 2/e, with two additional sections on differential equations appearing in Chapter 6. The hallmark of this popular text for the one-semester applied or business calculus course is its ability to engage students with a wealth of intriguing real-world applications. Instructors appreciate Berresford's careful and effective integration of technology and outstanding pedagogical reinforcement, including unique section summaries.

Retaining the strengths of its first edition, *Brief Applied Calculus,* 2/e, features updated optional graphing calculator coverage. In addition, project and essay questions previously found at the end of each chapter are now incorporated into the section exercise sets.

*New!*Updated calculator references, which remain optional, apply to the TI-83 calculator and, where appropriate, the TI-89. Berresford's thoughtful integration of technology includes boxed Graphing Calculator Explorations and Exercises that examine new topics, carry out complex calculations, or show the limitations and pitfalls of technology.*Contemporary and interesting applications*are selected from such wide-ranging fields as athletics, biomedical and environmental sciences, management and business, personal finance and management, social and behavioral sciences, and other topics of general interest. Application Previews introducing most sections offer in-depth, real-life applications that anticipate the section material.*Unique Section Summaries*reinforce students' understanding by restating essential formulas and key concepts.*Chapter Summary with Hints and Suggestions*provide review and specific reminders, with references to relevant practice exercises.*Practice Problems*follow the more difficult worked-out examples, giving students an extra chance to assimilate the material. Full solutions are included at the back of the book.*Applications and exercises*are graded according to difficulty. Applied Exercises are clearly labeled to highlight content and relevance. Projects and Essays, promoting writing and collaborative work, have been moved to section exercise sets.*Review Exercises*following each chapter are accompanied by suggestions for compiling student practice tests. Cumulative Review Exercises at the conclusion of chapter groups reinforce previously learned concepts.

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

**Rockett, Andrew M. : Long Island University Administration **

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

**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 Slopes, Rates of Change, 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 the Generalized Power Rule

2.7 Nondifferentiable Functions

**3. Further Applications of The Derivative**

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 Lost 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: Relative 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

6.5 Differential Equations

6.6 Further Applications of Differential Equations: Three Models of Growth

**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

Solutions to Practice Problems

Answers to Selected Exercises

Index

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Summary

This brief version of Berresford's applied calculus text consists of Chapters 1-7 of his *Calculus,* 2/e, with two additional sections on differential equations appearing in Chapter 6. The hallmark of this popular text for the one-semester applied or business calculus course is its ability to engage students with a wealth of intriguing real-world applications. Instructors appreciate Berresford's careful and effective integration of technology and outstanding pedagogical reinforcement, including unique section summaries.

Retaining the strengths of its first edition, *Brief Applied Calculus,* 2/e, features updated optional graphing calculator coverage. In addition, project and essay questions previously found at the end of each chapter are now incorporated into the section exercise sets.

*New!*Updated calculator references, which remain optional, apply to the TI-83 calculator and, where appropriate, the TI-89. Berresford's thoughtful integration of technology includes boxed Graphing Calculator Explorations and Exercises that examine new topics, carry out complex calculations, or show the limitations and pitfalls of technology.*Contemporary and interesting applications*are selected from such wide-ranging fields as athletics, biomedical and environmental sciences, management and business, personal finance and management, social and behavioral sciences, and other topics of general interest. Application Previews introducing most sections offer in-depth, real-life applications that anticipate the section material.*Unique Section Summaries*reinforce students' understanding by restating essential formulas and key concepts.*Chapter Summary with Hints and Suggestions*provide review and specific reminders, with references to relevant practice exercises.*Practice Problems*follow the more difficult worked-out examples, giving students an extra chance to assimilate the material. Full solutions are included at the back of the book.*Applications and exercises*are graded according to difficulty. Applied Exercises are clearly labeled to highlight content and relevance. Projects and Essays, promoting writing and collaborative work, have been moved to section exercise sets.*Review Exercises*following each chapter are accompanied by suggestions for compiling student practice tests. Cumulative Review Exercises at the conclusion of chapter groups reinforce previously learned concepts.

Author Bio

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

**Rockett, Andrew M. : Long Island University Administration **

Table of Contents

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

**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 Slopes, Rates of Change, 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 the Generalized Power Rule

2.7 Nondifferentiable Functions

**3. Further Applications of The Derivative**

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 Lost 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: Relative 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

6.5 Differential Equations

6.6 Further Applications of Differential Equations: Three Models of Growth

**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

Solutions to Practice Problems

Answers to Selected Exercises

Index

Publisher Info

Publisher: Houghton Mifflin Harcourt

Published: 2000

International: No

Published: 2000

International: No

This brief version of Berresford's applied calculus text consists of Chapters 1-7 of his *Calculus,* 2/e, with two additional sections on differential equations appearing in Chapter 6. The hallmark of this popular text for the one-semester applied or business calculus course is its ability to engage students with a wealth of intriguing real-world applications. Instructors appreciate Berresford's careful and effective integration of technology and outstanding pedagogical reinforcement, including unique section summaries.

Retaining the strengths of its first edition, *Brief Applied Calculus,* 2/e, features updated optional graphing calculator coverage. In addition, project and essay questions previously found at the end of each chapter are now incorporated into the section exercise sets.

*New!*Updated calculator references, which remain optional, apply to the TI-83 calculator and, where appropriate, the TI-89. Berresford's thoughtful integration of technology includes boxed Graphing Calculator Explorations and Exercises that examine new topics, carry out complex calculations, or show the limitations and pitfalls of technology.*Contemporary and interesting applications*are selected from such wide-ranging fields as athletics, biomedical and environmental sciences, management and business, personal finance and management, social and behavioral sciences, and other topics of general interest. Application Previews introducing most sections offer in-depth, real-life applications that anticipate the section material.*Unique Section Summaries*reinforce students' understanding by restating essential formulas and key concepts.*Chapter Summary with Hints and Suggestions*provide review and specific reminders, with references to relevant practice exercises.*Practice Problems*follow the more difficult worked-out examples, giving students an extra chance to assimilate the material. Full solutions are included at the back of the book.*Applications and exercises*are graded according to difficulty. Applied Exercises are clearly labeled to highlight content and relevance. Projects and Essays, promoting writing and collaborative work, have been moved to section exercise sets.*Review Exercises*following each chapter are accompanied by suggestions for compiling student practice tests. Cumulative Review Exercises at the conclusion of chapter groups reinforce previously learned concepts.

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

**Rockett, Andrew M. : Long Island University Administration **

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

**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 Slopes, Rates of Change, 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 the Generalized Power Rule

2.7 Nondifferentiable Functions

**3. Further Applications of The Derivative**

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 Lost 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: Relative 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

6.5 Differential Equations

6.6 Further Applications of Differential Equations: Three Models of Growth

**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

Solutions to Practice Problems

Answers to Selected Exercises

Index