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Preface | |
Straight Lines and Linear Functions | |
The Cartesian Coordinate System | |
Straight Lines | |
Using Technology: Graphing a Straight Line | |
Linear Functions and Mathematical Models | |
Using Technology: Evaluating a Function | |
Intersection of Straight Lines | |
Using Technology: Finding the Point(s) of Intersection of Two Graphs | |
The Method of Least Squares | |
Portfolio | |
Using Technology: Finding an Equation of a Least-Squares Line | |
Summary of Principal Formulas and Terms | |
Concept Review Questions | |
Review Exercises | |
Before Moving On | |
Systems Of Linear Equations And Matrices | |
Systems of Linear Equations: An Introduction | |
Systems of Linear Equations: Unique Solutions | |
Using Technology: Systems of Linear Equations | |
Unique Solutions | |
Systems of Linear Equations: Underdetermined and Overdetermined Systems | |
Using Technology: Systems of Linear Equations | |
Underdetermined and Overdetermined Systems | |
Matrices | |
Using Technology: Matrix Operations | |
Multiplication of Matrices | |
Using Technology: Matrix Multiplication | |
The Inverse of a Square Matrix | |
Using Technology: Finding the Inverse of a Square Matrix | |
Leontief Input--Output Model | |
Using Technology: The Leontief Input--Output Model | |
Summary of Principal Formulas and Terms | |
Concept Review Questions | |
Review Exercises | |
Before Moving On | |
Linear Programming: A Geometric Approach | |
Graphing Systems of Linear Inequalities in Two Variables | |
Linear Programming Problems | |
Graphical Solutions of Linear Programming Problems | |
Sensitivity Analysis | |
Summary of Principal Formulas and Terms | |
Concept Review Questions | |
Review Exercises | |
Before Moving On | |
Linear Programming: An Algebraic Approach | |
The Simplex Method: Standard Maximization Problems | |
Portfolio | |
Using Technology: The Simplex Method: Solving Maximization Problems | |
The Simplex Method: Standard Minimization Problems | |
Using Technology: The Simplex Method | |
Solving Minimization Problems | |
The Simplex Method: Nonstandard Problems | |
Summary of Principal Formulas and Terms | |
Concept Review Questions | |
Review Exercises | |
Before Moving On | |
Mathematics Of Finance | |
Compound IntereSt. Using Technology: Finding the Accumulated Amount of an Investment, the Effective Rate of Interest, and the Present Value of an Investment | |
Annuities | |
Using Technology: Finding the Amount of an Annuity | |
Amortization and Sinking Funds | |
Using Technology: Amortizing a Loan | |
Arithmetic and Geometric Progressions | |
Summary of Principal Formulas and Terms | |
Concept Review Questions | |
Review Exercises | |
Before Moving On | |
Sets And Counting | |
Sets and Set Operations | |
The Number of Elements in a Finite Set | |
The Multiplication Principle | |
Permutations and Combinations | |
Portfolio | |
Using Technology: Evaluating n!, P (n,r) and C (n,r) | |
Summary of Principal Formulas and Terms | |
Concept Review Questions | |
Review Exercises | |
Before Moving On | |
Probability | |
Experiments, Sample Spaces, and Events | |
Definition of Probability | |
Rules of Probability | |
Use of Counting Techniques in Probability | |
Conditional Probability and Independent Events | |
Bayes' Theorem | |
Summary of Principal Formulas and Terms | |
Concept Review Questions | |
Review Exercises | |
Before Moving On | |
Probability Distributions And Statistics | |
Distributions of Random Variables | |
Using Technology: Graphing a Histogram | |
Expected Value | |
Portfolio | |
Variance and Standard Deviation | |
Using Technology: Finding the Mean and Standard Deviation | |
The Binomial Distribution | |
The Normal Distribution | |
Applications of the Normal Distribution | |
Summary of Principal Formulas and Terms | |
Concept Review Questions | |
Review Exercises | |
Before Moving On | |
Markov Chains And The Theory Of Games | |
Markov Chains | |
Using Technology: Finding Distribution Vectors | |
Regular Markov Chains | |
Using Technology: Finding the Long-term Distribution Vector | |
Absorbing Markov Chains | |
Game Theory and Strictly Determined Games | |
Portfolio | |
Games with Mixed Strategies | |
Summary of Principal Formulas and Terms | |
Concept Review Questions | |
Review Exercises | |
Before Moving On | |
Introduction to Logic | |
Propositions and Connectives | |
Truth Tables | |
The Conditional and the Biconditional Connectives | |
Laws of Logic | |
Arguments | |
Applications of Logic to Switching Networks | |
The System of Real Numbers | |
A Review of Logarithms | |
Tables | |
Binomial Probabilities | |
The Standard Normal Distribution | |
Answers to Odd-Numbered Exercises | |
Index | |
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