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Calculus for Business, Economics, Life Sciences & Social Sciences, 11/E
Raymond A. Barnett, Merritt College
Michael R. Ziegler
Karl E. Byleen, Marquette University

ISBN-10: 0132328186
ISBN-13: 9780132328180

Publisher: Prentice Hall
Copyright: 2008
Format: Cloth; 704 pp
Published: 03/19/2007

Suggested retail price: $138.67
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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.

FEATURES

  •  Over 290 numbered worked examples, including many with lettered parts.
    • 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).
  • A “Matched Problem” follows each example.
    • 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 are 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 use 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 are 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 are included, as well as suggested group activities and key terms.
  • Optional graphing utility examples and exercises are 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 appears in Appendix A.
  • Library of Elementary Functions provides 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 reflects 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 TO THIS EDITION

  •  Chapters 1 and 2 have been reorganized to give instructors more flexibility in covering background material.
    • Depending on course syllabus and students’ needs, some or all of the material in the first two chapters can be covered at the beginning of the course, or selected portions can be referred to as needed later in the course.
  • Linear regression is given an early and thorough presentation in Section 1-3. Use of a graphing calculator is optional (as it is throughout the book).
  • The three chapters on differential calculus have been reorganized.
    • Limits, including infinite limits and limits at infinity, are given an early treatment (Sections 3-1 and 3-2).
    • A new section on differentials (3-7) and their applications to marginal analysis has been added.
    • The derivatives of exponential and logarithmic functions are obtained in Chapter 4 before the chain rule is introduced.
    • Chapter 5 now contains a section (5-3) on L’Hopital’s rule.
  • Chapter 8 on multivariable calculus now contains a new section on double integrals over regions more general than rectangles.
  • Thorough end-of-chapter summaries are now keyed by page numbers to completely worked examples.
  • Revised exercise sets increase the proportion of A level problems and explore/discuss problems, and decrease the proportion of B or C level exercises that involve extensive algebraic manipulation.
    • Approximately 15% of the exercises have been revised.

  • NEW!  Mini-Lectures for the instructor are included for every section from the text and provide additional classroom examples, summary of suggested learning objectives to cover and teaching notes for the material. Found on the Instructors' Resource Center as well as MyMathLab.  

  • NEW! Student worksheets: These Classroom Worksheets offer a convenient, ready-to-use format, with ample work space for students to show their work step-by-step. The Worksheets provide an effective way to check to see if students understand the skills and concepts of each section. Using the Worksheets also reinforce organized note taking with homework that helps students study.  The worksheets are organized by Learning Objective and also highlight key Vocabulary Terms and Vocabulary Exercises.  You can have students work the exercises in class, in a lab or at home, and you can collect and grade them for later use as a student study guide.  Great also for use with MyMathLab!

PART 1 A LIBRARY OF ELEMENTARY FUNCTIONS

 

1 Linear Equations and Graphs

1-1 Linear Equations and Inequalities

1-2 Graphs and Lines

1-3 Linear Regression

Chapter 1 Review

Review Exercise

 

2 Functions and Graphs

2-1 Functions

2-2 Elementary Functions: Graphs and Transformations

2-3 Quadratic Functions

2-4 Exponential Functions

2-5 Logarithmic Functions

Chapter 2 Review

Review Exercise

 

PART 2 CALCULUS

 

3 Limits and the Derivative

3-1 Introduction to Limits

3-2 Continuity

3-3 Infinite Limits and Limits at Infinity

3-4 The Derivative

3-5 Basic Differentiation Properties

3-6 Differentials

3-7 Marginal Analysis in Business and Economics

Chapter 3 Review

Review Exercise

 

4 Additional Derivative Topics

4-1 The Constant e and Continuous Compound Interest

4-2 Derivatives of Exponential and Logarithmic Functions

4-3 Derivatives of Products and Quotients

4-4 The Chain Rule

4-5 Implicit Differentiation

4-6 Related Rates

4-7 Elasticity of Demand

Chapter 4 Review

Review Exercise

 

5 Graphing and Optimization

5-1 First Derivative and Graphs

5-2 Second Derivative and Graphs

5-3 L’Hôpital’s Rule

5-4 Curve-Sketching Techniques

5-5 Absolute Maxima and Minima

5-6 Optimization

Chapter 5 Review

Review Exercise

 

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

Chapter 6 Review

Review Exercise

 

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

Chapter 7 Review

Review Exercise

 

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

8-7 Double Integrals over More General Regions

Chapter 8 Review

Review Exercise

 

9 Trigonometric Functions

9-1 Trigonometric Functions Review

9-2 Derivatives of Trigonometric Functions

9-3 Integration of Trigonometric Functions

Chapter 9 Review

Review Exercise

 

A Basic Algebra Review

Self-Test on Basic Algebra

A-1 Algebra and Real Numbers

A-2 Operations on Polynomials

A-3 Factoring Polynomials

A-4 Operations on Rational Expressions

A-5 Integer Exponents and Scientific Notation

A-6 Rational Exponents and Radicals

A-7 Quadratic Equations

 

B Special Topics

B-1 Sequences, Series, and Summation Notation

B-2 Arithmetic and Geometric Sequences

B-3 Binomial Theorem

 

C Tables

Table I Basic Geometric Formulas

Table II Integration Formulas

 

Answers

Index

Applications Index

A Library of Elementary Functions

 

Raymond A. Barnett, a native of California, received his B.A. in mathematical statistics from the University of California at Berkeley and his M.A. in mathematics from the University of Southern California.  He has been a member of the Merritt College Mathematics Department, and was chairman of the department for four years. Raymond Barnett has authored or co-authored eighteen textbooks in mathematics, most of which are still in use.  In addition to international English editions, a number of books have been translated into Spanish.  Co-authors include Michael Ziegler, Marquette University; Thomas Kearns, Northern University; Charles Burke, City College of San Francisco; John Fuji, Merritt College; and Karl Byleen, Marquette University.

 

Michael R. Ziegler received his B.S. from Shippensburg StateCollege and his M.S. and Ph.D. from the University of Delaware.  After completing post doctoral work at the University of Kentucky, he was appointed to the faculty of Marquette University where he currently holds the rank of Professor in the Department of Mathematics, Statistics, and Computer Science.  Dr. Ziegler has published over a dozen research articles in complex analysis and has co-authored eleven undergraduate mathematics textbooks with Raymond A. Barnett, and more recently, Karl E. Byleen.

 

Karl E. Byleen received the B.S., M.A. and Ph.D. degrees in mathematics from the University of Nebraska.  He is currently an Associate Professor in the Department of Mathematics, Statistics and Computer Science of Marquette University.  He has published a dozen research articles on the algebraic theory of semigroups.

 

Why We wrote This Book:

This text is written for student comprehension. Great care has been taken to write a book that is mathematically correct and accessible.  We emphasize computational skills, ideas, and problem solving rather than mathematical theory.  Most derivations and proofs are omitted except where their inclusion adds significant insight into a particular concept.  General concepts and results are usually presented only after particular cases have been discussed.  Graphing calculators and computers are playing an increasing role in mathematics education and in real-world applications of mathematics.  This books deals with the mathematics that is required to use modern technology effectively as an OPTIONAL feature.  In appropriate places in the text, there are clearly identified examples and exercises related to graphing calculators and computers, illustrations of applications of spreadsheets, and sample computer output. All of these may be omitted without loss of continuity.

View a Sample Chapter PDF:

 

Untitled Document

For Applied Calculus


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