## 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 Polynomial and Rational Functions

2-5 Exponential Functions

2-6 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 Variables, 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 x 2 Games--Geometric Approach

10-4 Linear Programming and m x n Games--Simplex Method and the Dual

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

**Appendixes**

**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 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**