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| Prologue: Calculator Arithmetic Typing Mathematical Expressions Rounding Parentheses and Grouping Minus Signs Special Numbers pi and e Chain Calculations Scientific Notation | |
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| Functions | |
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| Functions Given by Formulas | |
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| Functions Given by Tables | |
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| Functions Given by Graphs | |
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| Functions Given by Words | |
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| Graphical and Tabular Analysis | |
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| Tables and Trends | |
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| Graphs | |
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| Solving Linear Equations | |
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| Solving Nonlinear Equations | |
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| Optimization | |
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| Straight Lines and Linear Functions | |
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| The Geometry of Lines | |
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| Linear Functions | |
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| Modeling Data with Linear Functions | |
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| Linear Regression | |
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| Systems of Equations | |
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| Exponential Functions | |
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| Exponential Growth and Decay | |
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| Modeling Exponential Data | |
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| Modeling Nearly Exponential Data | |
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| Logarithmic Functions | |
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| Connecting Exponential and Linear Data | |
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| A Survey of Other Common Functions | |
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| Power Functions | |
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| Modeling Data with Power Functions | |
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| Combining and Decomposing Functions | |
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| Quadratic Functions and Parabolas | |
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| Higher-degree Polynomials and Rational Functions | |
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| The Geometry of Right Triangles | |
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| Sides of Right Triangles | |
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| Angles | |
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| Right Triangle Trigonometry | |
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| Periodic Functions | |
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| Trigonometric Functions as Periodic Functions | |
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| Modeling with Periodic Functions | |
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| Modeling Periodic Data | |
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| Relationships Among Trigonometric Functions | |
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| Trigonometric Identities | |
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| Laws of Sines and Cosines | |
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| Inverse Trigonometric Functions | |
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| Complex Numbers and De Moivre's Theorem | |
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| Rates of Change | |
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| Velocity | |
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| Rates of Change for Other Functions | |
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| Estimating Rates of Change | |
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| Equations of Change: Linear and Exponential Functions | |
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| Equations of Change: Graphical Solutions | |
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| Mathematics of Population Ecology | |
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| Population dynamics: Exponential Growth | |
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| Population dynamics: Logistic Growth | |
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| Population structure: Survivorship Curves | |