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Problem Solving | |
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Inductive and Deductive Reasoning | |
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Investigation: The Game of Sprouts | |
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Problem-Solving Strategies | |
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Investigation: Routes on a Probability Demonstrator | |
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Problem Solving Using Sets | |
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Investigation: Voting Systems | |
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Chapter Summary | |
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Review Exercises | |
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Chapter Test | |
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Logic and Its Applications | |
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Logic Statements and Quantifiers | |
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Investigation: Switching Networks | |
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Truth Tables and Applications | |
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Investigation: Switching Networks-Part II | |
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The Conditional and Related Statements | |
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Investigation: Logic Gates | |
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Arguments | |
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Investigation: Fallacies | |
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Euler Diagrams | |
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Investigation: Using Logic to Solve Puzzles | |
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Chapter Summary | |
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Review Exercises | |
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Chapter Test | |
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Algebraic Models | |
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First-Degree Equations and Formulas | |
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Investigation: Body Mass Index | |
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Rate, Ratio, and Proportion | |
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Investigation: Earned Run Average | |
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Percent | |
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Investigation: Federal Income Tax | |
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Direct and Inverse Variation | |
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Investigation: Gears and Pulleys | |
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Chapter Summary | |
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Review Exercises | |
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Chapter Test | |
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Measurement and Geometric Models | |
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The Metric System | |
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Investigation: Electrical Energy | |
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The U.S. Customary System | |
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Investigation: Energy | |
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Basic Concepts of Euclidean Geometry | |
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Investigation: Preparing a Circle Graph | |
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Perimeter and Area of Plane Figures | |
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Investigation: Slicing Polygons into Triangles | |
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Properties of Triangles | |
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Investigation: Topology | |
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Volume and Surface Area | |
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Investigation: Water Displacement | |
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Introduction to Trigonometry | |
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Investigation: Approximating the Values of Trigonometric Functions | |
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Chapter Summary | |
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Review Exercises | |
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Chapter Test | |
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Linear Models | |
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Rectangular Coordinates and Functions | |
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Investigation: Dilations of a Geometric Figure | |
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Properties of Linear Functions | |
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Investigation: Negative Velocity | |
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Finding Linear Models | |
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Investigation: A Linear Business Model | |
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Linear Regression and Correlation | |
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Investigation: An Application of Linear Regression | |
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Chapter Summary | |
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Review Exercises | |
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Chapter Test | |
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Nonlinear Models | |
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Introduction to Nonlinear Functions | |
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Investigation: Reflective Properties of a Parabola | |
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Exponential Functions | |
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Investigation: Chess and Exponential Functions | |
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Logarithmic Functions | |
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Investigation: Benford's Law | |
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Chapter Summary | |
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Review Exercises | |
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Chapter Test | |
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The Mathematics of Finance | |
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Simple Interest | |
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Investigation: Day-of-the-Year Table | |
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Compound Interest | |
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Investigation: Consumer Price index | |
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Credit Cards and Consumer Loans | |
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Investigation: Leasing Versus Buying a Car | |
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Stocks, Bonds, and Mutual Funds | |
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Investigation: Treasury Bills | |
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Home Ownership | |
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Investigation: Home Ownership Issues | |
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Chapter Summary | |
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Review Exercises | |
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Chapter Test | |
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Probability and Statistics | |
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Counting Methods | |
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Investigation: Choosing Numbers in Keno | |
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Introduction to Probability | |
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Investigation: Complement of an Event and Sharing Birthdays | |
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Measures of Central Tendency | |
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Investigation: Linear Interpolation and Animation | |
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Measures of Dispersion | |
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Investigation: A Geometric View of Variance and Standard Deviation | |
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Measures of Relative Position | |
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Investigation: Stem-and-Leaf Diagrams | |
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Normal Distributions | |
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Investigation: Cut-Off Scores | |
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Inferential Statistics | |
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Investigation: A Fair Die? | |
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Chapter Summary | |
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Review Exercises | |
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Chapter Test | |
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Apportionment and Voting | |
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Introduction to Apportionment | |
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Investigation: Apportioning the 1790 House of Representatives | |
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Introduction to Voting | |
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Investigation: Variations of the Borda Count Method | |
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Weighted Voting Systems | |
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Investigation: Blocking Coalitions and the Banzhaf Power Index | |
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Chapter Summary | |
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Review Exercises | |
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Chapter Test | |
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The Mathematics of Graphs | |
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Traveling Roads and Visiting Cities | |
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Investigation: Pen-Tracing Puzzles | |
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Efficient Routes | |
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Investigation: Extending the Greedy Algorithm | |
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Map Coloring and Graphs | |
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Investigation: Modeling Traffic Lights with Graphs | |
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Chapter Summary | |
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Review Exercises | |
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Chapter Test | |
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Solutions to Check Your Progress Problems | |
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Answers to Selected Exercises | |
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Index | |
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Web Appendix: Algebra Review (Available only online at this textbook's Online Study Center at: hmco.college.com/pic/aufmannMTQR.) | |