College Mathematics for Business, Economics, Life Sciences, and Social Sciences 14th Edition, ISBN-13: 978-0134674148

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College Mathematics for Business, Economics, Life Sciences, and Social Sciences 14th Edition, ISBN-13: 978-0134674148

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• Publisher: ‎ Pearson; 14th edition (January 23, 2018)
• Language: ‎ English
• ‎1008 pages
• ISBN-10: ‎ 0134674146
• ISBN-13: ‎ 978-0134674148

College Mathematics for Business, Economics, Life Sciences, and Social Sciences offers you more built-in guidance than any other applied calculus text available. Its coverage of the construction of mathematical models helps you develop critical tools for solving application problems. Technology coverage is optional, but discussions on using graphing calculators and spreadsheets are included where appropriate.

The 14th Edition features a brand-new, full-color redesign and updated layout to help you navigate more easily as you put in the work to learn the math. Throughout, data is updated in examples and exercises. New features include Reminder margin notes; all graphing calculator screens are updated to the TI-84 Plus CD; and much more.

Table of Contents:

Title Page

Copyright Page

Contents

Preface

Diagnostic Prerequisite Test

Chapter 1 Linear Equations and Graphs

1.1 Linear Equations and Inequalities

1.2 Graphs and Lines

1.3 Linear Regression

Chapter 1 Summary and Review

Review Exercises

Chapter 2 Functions and Graphs

2.1 Functions

2.2 Elementary Functions: Graphs and Transformations

2.3 Quadratic Functions

2.4 Polynomial and Rational Functions

2.5 Exponential Functions

2.6 Logarithmic Functions

Chapter 2 Summary and Review

Review Exercises

Chapter 3 Mathematics of Finance

3.1 Simple Interest

3.2 Compound and Continuous Compound Interest

3.3 Future Value of an Annuity; Sinking Funds

3.4 Present Value of an Annuity; Amortization

Chapter 3 Summary and Review

Review Exercises

Chapter 4 Systems of Linear Equations; Matrices

4.1 Review: Systems of Linear Equations in Two Variables

4.2 Systems of Linear Equations and Augmented Matrices

4.3 Gauss–jordan Elimination

4.4 Matrices: Basic Operations

4.5 Inverse of a Square Matrix

4.6 Matrix Equations and Systems of Linear Equations

4.7 Leontief Input–output Analysis

Chapter 4 Summary and Review

Review Exercises

Chapter 5 Linear Inequalities and Linear Programming

5.1 Linear Inequalities in Two Variables

5.2 Systems of Linear Inequalities in Two Variables

5.3 Linear Programming in Two Dimensions: a Geometric Approach

Chapter 5 Summary and Review

Review Exercises

Chapter 6 Linear Programming: The Simplex Method

6.1 The Table Method: an Introduction to the Simplex Method

6.2 The Simplex Method: Maximization with Problem Constraints of the Form …

6.3 The Dual Problem: Minimization with Problem Constraints of the Form ú

6.4 Maximization and Minimization with Mixed Problem Constraints

Chapter 6 Summary and Review

Review Exercises

Chapter 7 Logic, Sets, and Counting

7.1 Logic

7.2 Sets

7.3 Basic Counting Principles

7.4 Permutations and Combinations

Chapter 7 Summary and Review

Review Exercises

Chapter 8 Probability

8.1 Sample Spaces, Events, and Probability

8.2 Union, Intersection, and Complement of Events; Odds

8.3 Conditional Probability, Intersection, and Independence

8.4 Bayes’ Formula

8.5 Random Variable, Probability Distribution, and Expected Value

Chapter 8 Summary and Review

Review Exercises

Chapter 9 Limits and the Derivative

9.1 Introduction to Limits

9.2 Infinite Limits and Limits at Infinity

9.3 Continuity

9.4 The Derivative

9.5 Basic Differentiation Properties

9.6 Differentials

9.7 Marginal Analysis in Business and Economics

Chapter 9 Summary and Review

Review Exercises

Chapter 10 Additional Derivative Topics

10.1 the Constant E and Continuous Compound Interest

10.2 Derivatives of Exponential and Logarithmic Functions

10.3 Derivatives of Products and Quotients

10.4 The Chain Rule

10.5 Implicit Differentiation

10.6 Related Rates

10.7 Elasticity of Demand

Chapter 10 Summary and Review

Review Exercises

Chapter 11 Graphing and Optimization

11.1 First Derivative and Graphs

11.2 Second Derivative and Graphs

11.3 L’Hôpital’s Rule

11.4 Curve-Sketching Techniques

11.5 Absolute Maxima and Minima

11.6 Optimization

Chapter 11 Summary and Review

Review Exercises

Chapter 12 Integration

12.1 Antiderivatives and Indefinite Integrals

12.2 Integration by Substitution

12.3 Differential Equations; Growth and Decay

12.4 The Definite Integral

12.5 The Fundamental Theorem of Calculus

Chapter 12 Summary and Review

Review Exercises

Chapter 13 Additional Integration Topics

13.1 Area Between Curves

13.2 Applications in Business and Economics

13.3 Integration by Parts

13.4 Other Integration Methods

Chapter 13 Summary and Review

Review Exercises

Chapter 14 Multivariable Calculus

14.1 Functions of Several Variables

14.2 Partial Derivatives

14.3 Maxima and Minima

14.4 Maxima and Minima Using Lagrange Multipliers

14.5 Method of Least Squares

14.6 Double Integrals over Rectangular Regions

14.7 Double Integrals over More General Regions

Chapter 14 Summary and Review

Review Exercises

Chapter 15 Markov Chains

15.1 Properties of Markov Chains

15.2 Regular Markov Chains

15.3 Absorbing Markov Chains

Chapter 15 Summary and Review

Review Exercises

Appendix A Basic Algebra Review

A.1 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

Appendix C Integration Formulas

Answers

Index

Index of Applications

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 4 years. Raymond Barnett has authored or co-authored 18 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.

The late Michael R. Ziegler received his B.S. from Shippensburg State College and his M.S. and Ph.D. from the University of Delaware. After completing postdoctoral 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 11 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.

Christopher J. Stocker received his B.S. in mathematics and computer science from St. John’s University in Minnesota and his M.A. and Ph.D. degrees in mathematics from the University of Illinois in Urbana-Champaign. He is currently an Adjunct Assistant Professor in the Department of Mathematics, Statistics, and Computer Science of Marquette University. He has published 8 research articles in the areas of graph theory and combinatorics.

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