Problem Solving | |

The Nature of Mathematical Reasoning | |

Estimation and Interpreting Graphs | |

Problem Solving | |

Chapter 1 Review | |

Sets | |

The Nature of Sets | |

Subsets and Set Operations | |

Venn Diagrams | |

Using Sets to Solve Problems | |

Infinite Sets | |

Chapter 2 Review | |

Logic | |

Statements and Quantifiers | |

Truth Tables | |

Types of Statements | |

Logical Arguments | |

Euler Circles | |

Chapter 3 Review | |

Numeration Systems | |

Early and Modern Numeration Systems | |

Tools and Algorithms in Arithmetic | |

Base Number Systems | |

Operations in Base Number Systems | |

Chapter 4 Review | |

The Real Number System | |

The Natural Numbers | |

The Integers | |

The Rational Numbers | |

The Irrational Numbers | |

The Real Numbers | |

Exponents and Scientific Notation | |

Arithmetic and Geometric Sequences | |

Chapter 5 Review | |

Topics in Algebra | |

The Fundamentals of Algebra | |

Solving Linear Equations | |

Applications of Linear Equations | |

Ratio, Proportion, and Variation | |

Solving Linear Inequalities | |

Solving Quadratic Equations | |

Chapter 6 Review | |

Additional Topics in Algebra | |

The Rectangular Coordinate System and Linear Equations in Two Variables | |

Systems of Linear Equations | |

Solving Systems of Linear Equations Using Matrices | |

Linear Inequalities | |

Linear Programming | |

Functions | |

Linear, Quadratic, and Exponential Functions | |

Supplement: An Application of Functions--Sound | |

Chapter 7 Review | |

Consumer Mathematics | |

Percents | |

Simple Interest | |

Compound Interest | |

Installment Buying | |

Home Ownership | |

Stocks and Bonds | |

Chapter 8 Review | |

Measurement | |

Measures of Length: Converting Units and the Metric System | |

Measures of Area, Volume, and Capacity | |

Measures of Weight and Temperature | |

Chapter 9 Review | |

Geometry | |

Points, Lines, Planes and Angles | |

Triangles | |

Polygons and Perimeter | |

Areas of Polygons and Circles | |

Volume and Surface Area | |

Right Triangle Trigonometry | |

A Brief Survey of Non-Euclidean and Transformational Geometries | |

Chapter 10 Review | |

Probability and Counting Techniques | |

The Fundamental Counting Rule and Permutations | |

Combinations | |

Basic Concepts of Probability | |

Tree Diagrams, Tables, and Sample Spaces | |

Probability Using Permutations and Combinations | |

Odds and Expectation | |

The Addition Rules for Probability | |

The Multiplication Rules and Conditional Probability | |

The Binomial Distribution | |

Chapter 11 Review | |

Statistics | |

The Nature of Statistics and Organizing Data | |

Picturing Data | |

Measures of Average | |

Measures of Variation | |

Measures of Position | |

The Normal Distribution | |

Applications of the Normal Distribution | |

Correlation and Regression Analysis | |

Supplement: Misuses of Statistics | |

Chapter 12 Review | |

Other Mathematical Systems | |

Mathematical Systems and Groups | |

Clock Arithmetic | |

Modular Systems | |

Chapter 13 Review | |

Voting Methods | |

Preference Tables and the Plurality Method | |

The Borda Count Method and the Plurality-with-Elimination Method | |

The Pairwise Comparison Method and Approval Voting | |

Apportionment | |

Apportionment Flaws | |

Chapter 14 Review | |

Graph Theory | |

Basic Concepts of Graph Theory | |

Euler's Theorem | |

Hamilton Paths and Circuits | |

Trees | |

Chapter 15 Review | |

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