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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
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