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Calculus for Business, Economics, Life Sciences and Social Sciences, 10/E
Raymond A. Barnett
Michael R. Ziegler
Karl E. Byleen

ISBN-10: 0131432613
ISBN-13: 9780131432611

Publisher: Prentice Hall
Copyright: 2005
Format: Cloth; 768 pp
Published: 06/23/2004

This item has been replaced by Calculus for Business, Economics, Life Sciences & Social Sciences, 11/E.

For a one-semester or one-quarter course covering calculus for students majoring in business, economics, social sciences, or life sciences.

This mid-level text covers calculus with an emphasis on cross-discipline principles and practices. Student-friendly and accessible, it develops a thorough, functional understanding of mathematical concepts in preparation for their application in other areas. Coverage concentrates on developing concepts and ideas followed immediately by developing computational skills and problem solving.

Over 290 numbered worked examples-—many with lettered parts.
- Enhances presentation of examples for better student comprehension.
- The examples are annotated and the problem-solving steps are clearly identified. This gives students extra assistance in solving the problem.
- Think Boxes (dashed boxes) are used to enclose steps that are usually performed mentally (see section 1-1).

Matched Problems—Each example is followed by a "Matched Problem." This gives the student an opportunity to reinforce and test his/her understanding of the concept presented in the preceding example. Answers to these problems are located in the Answers Section, located at the end of the text.

Over 4,000 carefully selected and graded examples—Divided into A, B, and C levels of difficulty.
- The exercise sets contain application problems that are split into three different types: 1) Business and Economics; 2) Life Science; 3) Social Science. These different types cater to the diverse needs of the student.

Large variety of up-to-date applications—Uses simplified versions of real models.
- Illustrates the relevance of mathematics to the real world and gives students opportunities to create and interpret mathematical models.

Explore-Discuss boxes—Integrated in every section.
- Encourages students to think about a relationship or process before a result is stated, or investigate additional consequences of a development in the text, so that they can better participate in the learning process and discussion- both in and out of class.

Chapter Review exercises and answers. Also includes suggested group activities and key terms.

Optional graphing utility examples and exercises—Clearly identified by an icon.
- Provides a deeper understanding of mathematical concepts and allows students to solve problems that cannot be solved by hand.

Algebra review in Appendix A.

Library of Elementary Functions—Optional material that can be covered in its entirety or referred to as needed.
- Encourages students to view mathematical ideas and processes graphically, numerically, and algebraically.

Topic selection, coverage, and organization—From the course outlines and catalogs of many major colleges and universities.
- Takes into account the way the course is typically taught. Gives students the essential mathematical skills needed to effectively pursue courses of study in business and economics.

Optional regression analysis—Includes graphing calculator and spreadsheet output.
- Illustrates one of the basic tools of mathematical modeling with optional examples and exercises, so that students can relate the text topics to the real world.

NEW - 15% new or revised problems—Increases the number of A level problems and explore-discuss problems, while decreasing the number of those exercises that involve extensive algebraic manipulation.

NEW - New and revised applications throughout—Illustrates the relevance of mathematics to the real world, and gives students opportunities to create and interpret math models.

NEW - Revisions and updates throughout—Presents a more logical flow of material.
- Chapter 3 (The Derivative) has been adjusted to return the treatment of limits to a more traditional approach, emphasizing algebraic and graphical techniques, and removing all reliance on calculators and numerical approximation.
- Chapter 6 (Integration) has been adjusted to accommodate two rewritten sections.
- The section on the Definite Integral discusses approximations of areas by left and right sums, a rigorous definition of the definite integral, and properties of the definite integral.
- The second rewritten section (The Fundamental Theorem of Calculus) discusses the Fundamental Theorem, motivated by examples from business, the evaluation of definite integrals, and the average value of a continuous function.

NEW - Insight boxes—A new feature appearing with each chapter that helps students make connections with previous knowledge.

NEW - Chapter Problem—A new feature appearing on the chapter opener in which a motivational problem is presented, which relates to the chapter content, and illustrates the relevancy of the material that students are learning.

NEW - Updated pedagogy throughout—Includes chapter- opening problems, learning objectives, and thorough end-of-chapter summaries.
- Helps the student prepare for the chapter material and serves as a useful study tool.

NEW - 15% new or revised problems—Increases the number of A level problems and explore-discuss problems, while decreasing the number of those exercises that involve extensive algebraic manipulation.

NEW - New and revised applications throughout—Illustrates the relevance of mathematics to the real world, and gives students opportunities to create and interpret math models.

NEW - Revisions and updates throughout—Presents a more logical flow of material.
- Chapter 3 (The Derivative) has been adjusted to return the treatment of limits to a more traditional approach, emphasizing algebraic and graphical techniques, and removing all reliance on calculators and numerical approximation.
- Chapter 6 (Integration) has been adjusted to accommodate two rewritten sections.
- The section on the Definite Integral discusses approximations of areas by left and right sums, a rigorous definition of the definite integral, and properties of the definite integral.
- The second rewritten section (The Fundamental Theorem of Calculus) discusses the Fundamental Theorem, motivated by examples from business, the evaluation of definite integrals, and the average value of a continuous function.

NEW - Insight boxes—A new feature appearing with each chapter that helps students make connections with previous knowledge.

NEW - Chapter Problem—A new feature appearing on the chapter opener in which a motivational problem is presented, which relates to the chapter content, and illustrates the relevancy of the material that students are learning.

NEW - Updated pedagogy throughout—Includes chapter-opening problems, learning objectives, and thorough end-of-chapter summaries.
- Helps the student prepare for the chapter material and serves as a useful study tool.

(Each chapter concludes with Important Terms, Symbols, and Concepts; Review Exercise; and Group Activities.)

PART ONE. A LIBRARY OF ELEMENTARY FUNCTIONS.

CHAPTER 1. A Beginning Library of Elementary Functions.

1-1 Functions.

1-2 Elementary Functions: Graphs and Transformations.

1-3 Linear Functions and Straight Lines.

1-4 Quadratic Functions.

Group Activity 1: Introduction to Regression Analysis.

Group Activity 2: Mathematical Modeling in Business.

CHAPTER 2. Additional Elementary Functions.

2-1 Polynomial and Rational Functions.

2-2 Exponential Functions.

2-3 Logarithmic Functions.

Group Activity 1: Comparing the Growth of Exponential and Polynomial Functions, and Logarithmic and Root Functions.

Group Activity 2: Comparing Regression Models.

PART TWO. CALCULUS.

CHAPTER 3. The Derivative.

3-1 Introduction to Limits.

3-2 Limits and Continuity.

3-3 The Derivative.

3-4 Derivative of Constants, Power Forms, and Sums.

3-5 Derivatives of Products and Quotients.

3-6 Chain Rule: Power Form.

3-7 Marginal Analysis in Business and Economics.

Group Activity 1: Minimal Average Cost.

Group Activity 2: Numerical Differentiation on a Graphing Utility.

CHAPTER 4. Graphing and Optimization.

4-1 First Derivative and Graphs.

4-2 Second Derivative and Graphs.

4-3 Curve Sketching Techniques; Unified and Extended.

4-4 Optimization; Absolute Maxima and Minima.

Group Activity 1: Maximizing Profit.

Group Activity 2: Minimizing Construction Costs.

CHAPTER 5. Additional Derivative Topics.

5-1 The Constant e and Continuous Compound Interest.

5-2 Derivatives of Logarithmic and Exponential Functions.

5-3 Chain Rule: General Form.

5-4 Implicit Differentiation.

5-5 Related Rates.

Group Activity 1: Elasticity of Demand.

Group Activity 2: Point of Diminishing Returns.

CHAPTER 6. Integration.

6-1 Antiderivatives and Indefinite Integrals.

6-2 Integration by Substitution.

6-3 Differential Equations; Growth and Decay.

6-4 The Definite Integral.

6-5 The Fundamental Theorem of Calculus.

Group Activity 1: Simpson's Rule.

Group Activity 2: Bell-Shaped Curves.

CHAPTER 7. Additional Integration Topics.

7-1 Area Between Curves.

7-2 Applications in Business and Economics.

7-3 Integration by Parts.

7-4 Integration Using Tables.

Group Activity 1: Analysis of Income Concentration from Raw Data.

Group Activity 2: Grain Exchange.

CHAPTER 8. Multivariable Calculus.

8-1 Functions of Several Variables.

8-2 Partial Derivatives.

8-3 Maxima and Minima.

8-4 Maxima and Minima Using Lagrange Multipliers.

8-5 Method of Least Squares.

8-6 Double Integrals Over Rectangular Regions.

Group Activity 1: City Planning.

Group Activity 2: Numerical Integration of Multivariable Functions.

CHAPTER 9. Trigonometric Functions.

9-1 Trigonometric Functions Review.

9-2 Derivatives of Trigonometric Functions.

9-3 Integrations of Trigonometric Functions.

Group Activity 1: Seasonal Business Cycles.

Group Activity 2: Heating Degree Days.

APPENDIX A. Basic Algebra Review.

APPENDIX B. Special Topics.

APPENDIX C. Tables.

Applied Calculus (Mathematics)

Calculus for Business, Economics, Life Sciences & Social Sciences, 11/E
Barnett, Ziegler & Byleen
©2008 | Prentice Hall | Cloth; 704 pp | Instock
ISBN-10: 0132328186 | ISBN-13: 9780132328180
Brief Description | Buy from myPearsonStore

For a one-semester or one-quarter course covering calculus for students majoring in business, economics, social sciences, or life sciences.

This mid-level text covers calculus with an emphasis on cross-discipline principles and practices. Student-friendly and accessible, it develops a thorough, functional understanding of mathematical concepts in preparation for their application in other areas. Coverage concentrates on developing concepts and ideas followed immediately by developing computational skills and problem solving.

Calculus for Business, Economics, Life Sciences and Social Sciences |

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ISBN-10: 0130646040 | ISBN-13: 9780130646040
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©2005 | Prentice Hall | Electronic Book | Instock
ISBN-10: 0131478087 | ISBN-13: 9780131478084
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Graphing Calculator Tutorial CD
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Interwrite Personal Response System
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