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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 | |
Functions | |
Functions Given by Formulas | |
Functions Given by Tables | |
Functions Given by Graphs | |
Functions Given by Words | |
Graphical and Tabular Analysis | |
Tables and Trends | |
Graphs | |
Solving Linear Equations | |
Solving Nonlinear Equations | |
Optimization | |
Straight Lines and Linear Functions | |
The Geometry of Lines | |
Linear Functions | |
Modeling Data with Linear Functions | |
Linear Regression | |
Systems of Equations | |
Exponential Functions | |
Exponential Growth and Decay | |
Modeling Exponential Data | |
Modeling Nearly Exponential Data | |
Logarithmic Functions | |
Connecting Exponential and Linear Data | |
A Survey of Other Common Functions | |
Power Functions | |
Modeling Data with Power Functions | |
Combining and Decomposing Functions | |
Quadratic Functions and Parabolas | |
Higher-degree Polynomials and Rational Functions | |
The Geometry of Right Triangles | |
Sides of Right Triangles | |
Angles | |
Right Triangle Trigonometry | |
Periodic Functions | |
Trigonometric Functions as Periodic Functions | |
Modeling with Periodic Functions | |
Modeling Periodic Data | |
Relationships Among Trigonometric Functions | |
Trigonometric Identities | |
Laws of Sines and Cosines | |
Inverse Trigonometric Functions | |
Complex Numbers and De Moivre's Theorem | |
Rates of Change | |
Velocity | |
Rates of Change for Other Functions | |
Estimating Rates of Change | |
Equations of Change: Linear and Exponential Functions | |
Equations of Change: Graphical Solutions | |
Mathematics of Population Ecology | |
Population dynamics: Exponential Growth | |
Population dynamics: Logistic Growth | |
Population structure: Survivorship Curves | |
Table of Contents provided by Publisher. All Rights Reserved. |
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