## Table of Contents

**TABLE OF CONTENTS**

*PART ONE A LIBRARY OF ELEMENTARY FUNCTIONS*

**CHAPTER 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

**CHAPTER 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 TWO FINITE MATHEMATICS**

**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 Review

Review Exercise

**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 Review

Review Exercise

**CHAPTER 5 Linear Inequalities and Linear Programming**

5-1 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 Review

Review Exercise

**CHAPTER 6 Linear Programming: Simplex Method**

6-1 A Geometric Introduction to the Simplex Method

6-2 The Simplex Method: Maximization with Problem Constraints of the Form ≤

6-3 The Dual; Minimization with Problem Constraints of the Form ≥

6-4 Maximization and Minimization with Mixed Problem Constraints

* *Chapter 6 Review

Review Exercise

**CHAPTER 7 Logic, Sets, and Counting**

7-1 Logic

7-2 Sets

7-3 Basic Counting Principles

7-4 Permutations and Combinations

* *Chapter 7 Review

Review Exercise

**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 Review

Review Exercise

**CHAPTER 9 Markov Chains**

9-1 Properties of Markov Chains

9-2 Regular Markov Chains

9-3 Absorbing Markov Chains

* *Chapter 9 Review

Review Exercise

**CHAPTER 10 Games and Decisions**

10-1 Strictly Determined Games

10-2 Mixed Strategy Games

10-3 Linear Programming and 2 ¥ 2 Games: Geometric Approach

10-4 Linear Programming and m ¥ n Games: Simplex Method and the Dual Problem

* *Chapter 10 Review

Review Exercise

**CHAPTER 11 Data Description and Probability Distributions**

11-1 Graphing Data

11-2 Measures of Central Tendency

11-3 Measures of Dispersion

11-4 Bernoulli Trials and Binomial Distributions

11-5 Normal Distributions

* *Chapter 11 Review

Review Exercise

**APPENDIX 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

**APPENDIX B Special Topics**

B-1 Sequences, Series, and Summation Notation

B-2 Arithmetic and Geometric Sequences

B-3 The Binomial Theorem

**APPENDIX C Tables**

Table I Area Under the Standard Normal Curve

Table II Basic Geometric Formulas

* *Answers

Index

Applications Index

A Library of Elementary Functions