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| Problem Solving | |
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| The Nature of Mathematical Reasoning | |
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| Estimation and Interpreting Graphs | |
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| Problem Solving | |
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| Chapter 1 Review | |
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| Sets | |
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| The Nature of Sets | |
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| Subsets and Set Operations | |
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| Venn Diagrams | |
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| Using Sets to Solve Problems | |
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| Infinite Sets | |
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| Chapter 2 Review | |
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| Logic | |
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| Statements and Quantifiers | |
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| Truth Tables | |
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| Types of Statements | |
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| Logical Arguments | |
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| Euler Circles | |
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| Chapter 3 Review | |
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| Numeration Systems | |
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| Early and Modern Numeration Systems | |
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| Tools and Algorithms in Arithmetic | |
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| Base Number Systems | |
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| Operations in Base Number Systems | |
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| Chapter 4 Review | |
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| The Real Number System | |
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| The Natural Numbers | |
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| The Integers | |
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| The Rational Numbers | |
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| The Irrational Numbers | |
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| The Real Numbers | |
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| Exponents and Scientific Notation | |
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| Arithmetic and Geometric Sequences | |
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| Chapter 5 Review | |
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| Topics in Algebra | |
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| The Fundamentals of Algebra | |
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| Solving Linear Equations | |
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| Applications of Linear Equations | |
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| Ratio, Proportion, and Variation | |
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| Solving Linear Inequalities | |
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| Solving Quadratic Equations | |
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| Chapter 6 Review | |
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| Additional Topics in Algebra | |
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| The Rectangular Coordinate System and Linear Equations in Two Variables | |
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| Systems of Linear Equations | |
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| Solving Systems of Linear Equations Using Matrices | |
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| Linear Inequalities | |
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| Linear Programming | |
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| Functions | |
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| Linear, Quadratic, and Exponential Functions | |
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| Supplement: An Application of Functions--Sound | |
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| Chapter 7 Review | |
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| Consumer Mathematics | |
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| Percents | |
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| Simple Interest | |
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| Compound Interest | |
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| Installment Buying | |
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| Home Ownership | |
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| Stocks and Bonds | |
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| Chapter 8 Review | |
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| Measurement | |
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| Measures of Length: Converting Units and the Metric System | |
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| Measures of Area, Volume, and Capacity | |
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| Measures of Weight and Temperature | |
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| Chapter 9 Review | |
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| Geometry | |
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| Points, Lines, Planes and Angles | |
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| Triangles | |
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| Polygons and Perimeter | |
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| Areas of Polygons and Circles | |
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| Volume and Surface Area | |
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| Right Triangle Trigonometry | |
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| A Brief Survey of Non-Euclidean and Transformational Geometries | |
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| Chapter 10 Review | |
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| Probability and Counting Techniques | |
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| The Fundamental Counting Rule and Permutations | |
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| Combinations | |
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| Basic Concepts of Probability | |
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| Tree Diagrams, Tables, and Sample Spaces | |
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| Probability Using Permutations and Combinations | |
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| Odds and Expectation | |
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| The Addition Rules for Probability | |
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| The Multiplication Rules and Conditional Probability | |
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| The Binomial Distribution | |
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| Chapter 11 Review | |
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| Statistics | |
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| The Nature of Statistics and Organizing Data | |
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| Picturing Data | |
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| Measures of Average | |
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| Measures of Variation | |
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| Measures of Position | |
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| The Normal Distribution | |
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| Applications of the Normal Distribution | |
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| Correlation and Regression Analysis | |
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| Supplement: Misuses of Statistics | |
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| Chapter 12 Review | |
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| Other Mathematical Systems | |
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| Mathematical Systems and Groups | |
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| Clock Arithmetic | |
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| Modular Systems | |
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| Chapter 13 Review | |
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| Voting Methods | |
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| Preference Tables and the Plurality Method | |
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| The Borda Count Method and the Plurality-with-Elimination Method | |
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| The Pairwise Comparison Method and Approval Voting | |
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| Apportionment | |
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| Apportionment Flaws | |
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| Chapter 14 Review | |
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| Graph Theory | |
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| Basic Concepts of Graph Theory | |
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| Euler's Theorem | |
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| Hamilton Paths and Circuits | |
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| Trees | |
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| Chapter 15 Review | |