# College Mathematics for Business, Economics, Life Sciences, and Social Sciences, 14th edition

Published by Pearson (May 8th 2018) - Copyright © 2019

14th edition

ISBN-13: 9780134676081

### What's included

## Overview

NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value; this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. For Books a la Carte editions that include MyLab™ or Mastering™, several versions may exist for each title–including customized versions for individual schools–and registrations are not transferable. In addition, you may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering platforms.

*For one-semester courses in Finite Math & Applied Calculus or Mathematics for Business.*

**Built-in guidance that helps students “get the idea.”**

** College Mathematics for Business, Economics, Life Sciences, and Social Sciences, 14th Edition** offers more built-in guidance than any other text in its field – with special emphasis on prerequisites skills – and a host of student-friendly features to help students catch up or learn on their own. The text’s emphasis on helping students “get the idea” is enhanced in the new edition by a design refresh, updated data and applications, and a robust MyLab™ Math course.

**Also available with MyLab Math**

*By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student.*

*Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. *

*If you would like to purchase both the physical text and MyLab Math, search for:*

**0134862562 / 9780134862569 College Mathematics for Business, Economics, Life Sciences, and Social Sciences, Books a la Carte, Plus MyLab Math with Pearson eText– Title-Specific Access Card Package, 14/e**

*Package consists of:*

*0134676084 / 9780134676081 College Mathematics for Business, Economics, Life Sciences, and Social Sciences, Books a la Carte**0134880463 / 9780134880464 MyLab Math with Pearson eText – Standalone Access Card - for College Mathematics for Business, Economics, Life Sciences, and Social Sciences*

## Table of contents

**I. 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 Summary and Review

Review Exercises

**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

**II. FINITE MATHEMATICS**

**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

**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

**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

**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 ≥

6.4 Maximization and Minimization with Mixed Problem Constraints

Chapter 6 Summary and Review

Review Exercises

**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

**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

**III. CALCULUS**

**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

**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

**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

**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

**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

**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

**15. Markov Chains (online at ****goo.gl/8SZkyn****)**

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 B: Special Topics (online at goo.gl/mjbXrG) **

B.1 Sequences, Series, and Summation Notation

B.2 Arithmetic and Geometric Sequences

B.3 Binomial Theorem

B.4 Interpolating Polynomials and Divided Differences

**Appendix C: Tables **

Table I Integration Formulas

Table II Area under the Standard Normal Curve

Answers

Index

Index of Applications

## For teachers

All the material you need to teach your courses.

Discover teaching material