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### Table of contents:

Diagnostic Prerequisite Test

PART ONE: 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 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 Review

Review Exercises

PART TWO: 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 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 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 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; Minimization with Problem Constraints of the form ≥

6.4 Maximization and Minimization with Mixed Problem Constraints

Chapter 6 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 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 Variables, Probability Distribution, and Expected Value

Chapter 8 Review

Review Exercises

9. Markov Chains

9.1 Properties of Markov Chains

9.2 Regular Markov Chains

9.3 Absorbing Markov Chains

Chapter 9 Review

Review Exercises

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 Exercises

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 Exercises

APPENDICES

A. Basic Algebra Review

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

B. Special Topics

B.1 Sequences, Series, and Summation Notation

B.2 Arithmetic and Geometric Sequences

B.3 Binomial Theorem

C. Tables

Table I. Area Under the Standard Normal Curve

Table II. Basic Geometric Formulas

Answers

Index

Applications Index