Problem Solving | |

Inductive and Deductive Reasoning | |

Problem Solving with Patterns | |

Problem-Solving Strategies | |

Sets | |

Basic Properties of Sets | |

Complements, Subsets, and Venn Diagrams | |

Set Operations | |

Applications of Sets | |

Infinite Sets | |

Logic | |

Logic Statements and Quantifiers | |

Truth Tables, Equivalent Statements, and Tautologies | |

The Conditional and the Biconditional | |

The Conditional and Related Statements | |

Arguments | |

Euler Diagrams | |

Numeration Systems And Number Theory | |

Early Numeration Systems | |

Place-Value Systems | |

Different Base Systems | |

Arithmetic in Different Bases | |

Prime Numbers | |

Topics from Number Theory | |

Applications Of Equations | |

First-Degree Equations and Formulas | |

Rate, Ratio, and Proportion | |

Percent | |

Second-Degree Equations | |

Applications Of Functions | |

Rectangular Coordinates and Functions | |

Properties of Linear Functions | |

Finding Linear Models | |

Quadratic Functions | |

Exponential Functions | |

Logarithmic Functions | |

Mathematical Systems | |

Modular Arithmetic | |

Applications of Modular Arithmetic | |

Introduction to Group Theory | |

Geometry | |

Basic Concepts of Euclidean Geometry | |

Perimeter and Area of Plane Figures | |

Properties of Triangles | |

Volume and Surface Area | |

Introduction to Trigonometry | |

Non-Euclidean Geometry | |

Fractals | |

The Mathematics Of Graphs | |

Traveling Roads and Visiting Cities | |

Efficient Routes | |

Planarity and Euler's Formula | |

Map Coloring and Graphs | |

The Mathematics Of Finance | |

Simple IntereSt. Compound IntereSt. Credit Cards and Consumer Loans | |

Stocks, Bonds, and Mutual Funds | |

Home Ownership | |

Combinatorics And Probability | |

The Counting Principle | |

Permutations and Combinations | |

Probability and Odds | |

Addition and Complement Rules | |

Conditional Probability | |

Expectation | |

Statistics | |

Measures of Central Tendency | |

Measures of Dispersion | |

Measures of Relative Position | |

Normal Distributions | |

Linear Regression and Correlation | |

Apportionment And Voting | |

Introduction to Apportionment | |

Introduction to Voting | |

Weighted Voting Systems | |

Appendix: The Metric System Of Measurement | |

Web Appendix: Algebra Review | |

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