Preface | |

Logic | |

Deductive Logic versus Inductive Logic | |

Symbolic Logic | |

Truth Tables | |

More on Conditionals | |

Analyzing Arguments | |

Review | |

Sets And Counting | |

Sets and Set Operations | |

Applications of Venn Diagrams | |

Introduction to Combinatorics | |

Permutations and Combinations | |

Infinite Sets | |

Review | |

Probability | |

History of Probability | |

Basic Terms of Probability | |

Basic Rules of Probability | |

Combinatorics and Probability | |

Expected Value | |

Conditional Probability | |

Independence | |

Trees in Genetics | |

Review | |

Statistics | |

Population, Sample, and Data | |

Measures of Central Tendency | |

Measures of Dispersion | |

The Normal Distribution | |

Polls and Margin of Error | |

Linear Regression | |

Review | |

Finance | |

Simple IntereSt. Compound IntereSt. Annuities | |

Amortized Loans | |

Annual Percentage Rate with a TI's TVM Application | |

Payout Annuities | |

Review | |

Voting And Apportionment | |

Voting Systems | |

Methods of Apportionment | |

Flaws of Apportionment | |

Review | |

Number Systems And Number Theory | |

Place Systems | |

Addition and Subtraction in Different Bases | |

Multiplication and Division in Different Bases | |

Prime Numbers and Perfect Numbers | |

Fibonacci Numbers and the Golden Ratio | |

Review | |

Geometry Perimeter and Area | |

Volume and Surface Area | |

Egyptian Geometry | |

The Greeks | |

Right Triangle Trigonometry | |

Linear Perspective | |

Conic Sections and Analytic Geometry | |

Non-Euclidean Geometry | |

Fractal Geometry | |

The Perimeter and Area of a Fractal | |

Review | |

Graph Theory | |

A Walk through K?nigsberg | |

Graphs and Euler Trails | |

Hamilton Circuits | |

Networks | |

Scheduling | |

Review | |

Exponential And Logarithmic Functions | |

Review of Exponentials and Logarithms | |

Review of Properties of Logarithms | |

Exponential Growth | |

Exponential Decay | |

Logarithmic Scales | |

Review | |

Matrices And Markov Chains | |

Review of Matrices | |

Introduction to Markov Chains | |

Systems of Linear Equations | |

Long-Range Predictions with Markov Chains | |

Solving Larger Systems of Equations | |

More on Markov Chains | |

Review | |

Linear Programming | |

Review of Linear Inequalities | |

The Geometry of Linear Programming | |

Review | |

Linear Programming (Online) | |

Introduction to the Simplex Method | |

The Simplex Method: Complete Problems | |

Review | |

The Concepts And History Of Calculus (Online) | |

Review of Rations, Parabolas, and Functions | |

The Antecedents of Calculus | |

Four Problems | |

Newton and Tangent Lines | |

Newton on Falling Objects and the Derivative | |

The Trajectory of a Cannonball | |

Newton and Areas | |

Conclusion | |

Review | |

Appendixes | |

Appendix B Using a Graphing Calculator | |

Graphing with a Graphing Calculator | |

Finding Points of Intersection with a Graphing Calculator | |

Dimensional Analysis | |

Body Table for the Standard Normal Distribution | |

Index | |

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