Logic | |

Deductive vs. Inductive Reasoning | |

Symbolic Logic | |

Truth Tables | |

More on Conditionals | |

Analyzing Arguments | |

Sets and Counting | |

Sets and Set Operations | |

Applications of Venn Diagrams | |

Introduction to Combinatorics | |

Permutations and Combinations | |

Infinite Sets | |

Probability | |

History of Probability | |

Basic Terms of Probability | |

Basic Rules of Probability | |

Combinatorics and Probability | |

Expected Value | |

Conditional Probability | |

Independence | |

Trees in Genetics | |

Statistics | |

Population, Sample, and Data | |

Measures of Central Tendency | |

Measures of Dispersion | |

The Normal Distribution | |

Polls and Margin of Error | |

Linear Regression | |

Finance | |

Simple Interest | |

Compound Interest | |

Annuities | |

Amortized Loans | |

Annual Percentage Rate on a Graphing Calculator | |

Payout Annuities | |

Voting and Apportionment | |

Voting Systems | |

Methods of Apportionment | |

Flaws of Apportionment | |

Number Systems and Number Theory | |

Place Systems | |

Arithmetic in Different Bases | |

Primes and Perfect Numbers | |

The Fibonacci Sequence and the Golden Ratio | |

Geometry | |

Perimeter and Area | |

Volume and Surface Area | |

Egyptian Geometry | |

The Greeks | |

Right Triangle Trigonometry | |

Conic Sections and Analytic Geometry | |

Non-Euclidean Geometry | |

Fractal Geometry | |

The Perimeter and Area of a Fractal | |

Graph Theory | |

A Walk Through Konigsberg | |

Graphs and Euler Paths | |

Hamilton Circuits | |

Networks | |

Scheduling | |

Exponential and Logarithmic Functions | |

Review of Exponentials and Logarithms | |

Review of Properties of Logarithms | |

Exponential Growth | |

Exponential Decay | |

Logarithmic Scales | |

Matrices and Markov Chains | |

Review of Matrices | |

Introduction to Markov Chains | |

Systems of Linear Equations | |

Long-Range Predictions | |

Solving Larger Systems of Equations | |

More on Markov Chains | |

Linear Programming | |

Review of Linear Inequalities | |

The Geometry of Linear Programming | |

Appendices: Using a Scientific Calculator | |

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 | |

Answers to Selected Exercises | |

Available On The Web: Linear Programming | |

Introduction to the Simplex Method | |

The Simplex Method: Complete Problems | |

The Concepts And History Of Calculus | |

The Review of Ratios, 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 | |

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