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| Functions and Change | |
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| What is a Function? | |
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| Linear Functions | |
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| Rates of Change | |
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| Applications of Functions to Economics | |
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| Exponential Functions | |
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| The Natural Logarithm | |
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| Exponential Growth and Decay | |
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| New Functions From Old | |
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| Proportionality, Power Functions and Polynomials | |
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| Periodic Functions | |
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| Review of Chapter 1 | |
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| Focus on Modeling | |
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| Fitting Formulas to Data | |
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| Compound Interest and the Number e | |
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| Focus on Theory | |
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| Limits to Infinity and end Behavior | |
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| Rate of Change: The Derivative | |
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| Instantaneous Rate of Change | |
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| The Derivative Function | |
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| Interpretations of the Derivative | |
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| The Second Derivative | |
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| Marginal Cost and Revenue | |
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| Review of Chapter 2 | |
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| Focus on Theory | |
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| Limits, Continuity, and the Definition of the Derivative | |
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| Short-Cuts to Differentiation | |
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| Derivative Formulas for Powers and Polynomials | |
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| Exponential and Logarithmic Functions | |
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| The Chain Rule | |
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| The Product and Quotient Rules | |
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| Derivatives of Periodic Functions | |
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| Review of Chapter 3 | |
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| Focus on Theory | |
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| Establishing Derivative Formulas | |
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| Focus on Practice | |
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| Differentiation | |
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| Using the Derivative | |
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| Local Maxima and Minima | |
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| Inflection Points | |
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| Global Maxima and Minima | |
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| Profit, Cost, and Revenue | |
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| Average Cost | |
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| Elasticity of Demand | |
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| Logistic Growth | |
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| The Surge Function and Drug Concentration | |
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| Review of Chapter 4 | |
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| Accumulated Change: The Definite Integral | |
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| Accumulated Change | |
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| The Definite Integral | |
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| The Definite Integral as Area | |
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| Interpretations of the Definite Integral | |
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| The Fundamental Theorem of Calculus | |
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| Review of Chapter 5 | |
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| Focus on Theory | |
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| Theorems About Definite Integrals | |
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| Using the Integral | |
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| Average Value | |
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| Consumer and Producer Surplus | |
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| Present and Future Value | |
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| Relative Growth Rates | |
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| Review of Chapter 6 | |
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| Antiderivatives | |
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| Constructing Antiderivatives Analytically | |
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| Integration by Substitution | |
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| Using the Fundamental Theorem to Find Definite Integrals | |
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| Analyzing Antiderivatives Graphically and Numerically | |
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| Review of Chapter 7 | |
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| Probability | |
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| Density Functions | |
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| Cumulative Distribution Functions and Probability | |
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| The Median and the Mean | |
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| Review of Chapter 8 | |
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| Functions of Several Variables | |
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| Understanding Functions of Two Variables | |
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| Contour Diagrams | |
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| Partial Derivatives | |
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| Computing Partial Derivatives Algebraically | |
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| Critical Points and Optimization | |
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| Constrained Optimization | |
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| Review of Chapter 9 | |
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| Focus on Theory | |
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| Deriving the Formula for a Regression Line | |
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| Mathematical Modeling Using Differential Equations | |
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| Math Modeling: Setting Up a Differential Equation | |
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| Solutions of Differential Equations | |
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| Slope Fields | |
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| Exponential Growth and Decay | |
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| Applications and Modeling | |
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| Modeling the Interaction of Two Populations | |
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| Modeling the Spread of a Disease | |
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| Review of Chapter 10 | |
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| Focus on Theory | |