ISBN-10:
0321925130
ISBN-13:
2900321925137
Pub. Date:
02/13/2014
Publisher:
Pearson
Calculus for Business, Economics, Life Sciences and Social Sciences Plus NEW MyMathLab with Pearson etext -- Access Card Package / Edition 13

Calculus for Business, Economics, Life Sciences and Social Sciences Plus NEW MyMathLab with Pearson etext -- Access Card Package / Edition 13

by Raymond A. Barnett
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  • Product Details

    ISBN-13: 2900321925137
    Publisher: Pearson
    Publication date: 02/13/2014
    Series: Barnett, Ziegler, Byleen, Finite Math & Applied Calculus Series, 13th Edition Series
    Edition description: Older Edition
    Pages: 800
    Product dimensions: 14.80(w) x 11.50(h) x 0.90(d)

    About the Author

    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.

    Michael R. Ziegler (late) received his B.S. from Shippensburg State College 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 held the rank of Professor in the Department of Mathematics, Statistics, and Computer Science. Dr. Ziegler published over a dozen research articles in complex analysis and co-authored eleven undergraduate mathematics textbooks with Raymond A. Barnett, and more recently, Karl E. Byleen.

    Karl E. Byleen received his 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.

    Table of Contents

    Diagnostic Prerequisite Test

    1. Functions and Graphs

    1.1 Functions

    1.2 Elementary Functions: Graphs and Transformations

    1.3 Linear and Quadratic Functions

    1.4 Polynomial and Rational Functions

    1.5 Exponential Functions

    1.6 Logarithmic Functions

    Chapter 1 Review

    Review Exercises

    2. Limits and the Derivative

    2.1 Introduction to Limits

    2.2 Infinite Limits and Limits at Infinity

    2.3 Continuity

    2.4 The Derivative

    2.5 Basic Differentiation Properties

    2.6 Differentials

    2.7 Marginal Analysis in Business and Economics

    Chapter 2 Review

    Review Exercises

    3. Additional Derivative Topics

    3.1 The Constant e and Continuous Compound Interest

    3.2 Derivatives of Exponential and Logarithmic Functions

    3.3 Derivatives of Products and Quotients

    3.4 The Chain Rule

    3.5 Implicit Differentiation

    3.6 Related Rates

    3.7 Elasticity of Demand

    Chapter 3 Review

    Review Exercises

    4. Graphing and Optimization

    4.1 First Derivative and Graphs

    4.2 Second Derivative and Graphs

    4.3 L'Hôpital's Rule

    4.4 Curve Sketching Techniques

    4.5 Absolute Maxima and Minima

    4.6 Optimization

    Chapter 4 Review

    Review Exercises

    5. Integration

    5.1 Antiderivatives and Indefinite Integrals

    5.2 Integration by Substitution

    5.3 Differential Equations; Growth and Decay

    5.4 The Definite Integral

    5.5 The Fundamental Theorem of Calculus

    Chapter 5 Review

    Review Exercises

    6. Additional Integration Topics

    6.1 Area Between Curves

    6.2 Applications in Business and Economics

    6.3 Integration by Parts

    6.4 Other Integration Methods

    Chapter 6 Review

    Review Exercises

    7. Multivariable Calculus

    7.1 Functions of Several Variables

    7.2 Partial Derivatives

    7.3 Maxima and Minima

    7.4 Maxima and Minima Using Lagrange Multipliers

    7.5 Method of Least Squares

    7.6 Double Integrals Over Rectangular Regions

    7.7 Double Integrals Over More General Regions

    Chapter 7 Review

    Review Exercises

    8. Trigonometric Functions

    8.1 Trigonometric Functions Review

    8.2 Derivatives of Trigonometric Functions

    8.3 Integration of Trigonometric Functions

    Chapter 8 Review

    Review Exercises

    APPENDICES

    A. Basic Algebra Review

    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

    Customer Reviews

    Most Helpful Customer Reviews

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