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### Table of contents:

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

9. Markov Chains

9.1 Properties of Markov Chains

9.2 Regular Markov Chains

9.3 Absorbing Markov Chains

Chapter 9 Summary and Review

Review Exercises

10. Data Description and Probability Distributions

10.1 Graphing Data

10.2 Measures of Central Tendency

10.3 Measures of Dispersion

10.4 Bernoulli Trials and Binomial Distributions

10.5 Normal Distributions

Chapter 10 Summary and Review

Review Exercises

11. Games and Decisions (online at goo.gl/6VBjkQ)

11.1 Strictly Determined Games

11.2 Mixed-Strategy Games

11.3 Linear Programming and 2 x 2 Games: A Geometric Approach

11.4 Linear Programming and m x n Games: Simplex Method and the Dual Problem

Chapter 11 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

Appendix C: Area under the Standard Normal Curve

Answers

Index

Index of Applications