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| Functions, Graphs, and Models | |
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| Graphs and Equations | |
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| Functions and Models | |
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| Finding Domain and Range | |
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| Slope and Linear Functions | |
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| Nonlinear Functions and Models | |
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| Mathematical Modeling and Curve Fitting | |
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| Extended Technology Application: Payrolls of Professional Basketball Teams | |
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| Differentiation | |
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| Limits: A Numerical and Graphical Approach | |
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| Algebraic Limits and Continuity | |
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| Average Rates of Change | |
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| Differentiation Using Limits of Difference Quotients | |
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| Differentiation Techniques: The Power and Sum-Difference Rules | |
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| Differentiation Techniques: The Product and Quotient Rules | |
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| The Chain Rule | |
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| Higher-Order Derivatives | |
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| Extended Technology Application: Path of a Baseball: The Tale of the Tape | |
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| Applications of Differentiation | |
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| Using First Derivatives to Find Maximum and Minimum Values and Sketch Graphs | |
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| Using Second Derivatives to Find Maximum and Minimum Values and Sketch Graphs | |
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| Graph Sketching: Asymptotes and Rational Functions | |
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| Using Derivatives to Find Absolute Maximum and Minimum Values | |
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| Maximum-Minimum Problems: Business and Economics Applications | |
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| Marginals and Differentials | |
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| Implicit Differentiation and Related Rates | |
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| Extended Technology Application: Maximum Sustainable Harvest | |
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| Exponential and Logarithmic Functions | |
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| Exponential Functions | |
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| Logarithmic Functions | |
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| Applications: The Uninhibited Growth Model, dP/dt = kP | |
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| Applications: Decay | |
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| The Derivatives of a x and logax | |
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| An Economics Application: Elasticity of Demand | |
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| Extended Technology Application: The Business of Motion Picture Box-Office Revenue | |
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| Integration | |
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| The Area Under a Graph | |
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| Area, Antiderivatives, and Integrals | |
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| Area and Definite Integrals | |
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| Properties of Definite Integrals | |
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| Integration Techniques: Substitution | |
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| Integration Techniques: Integration by Parts | |
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| Integration Techniques: Tables | |
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| Extended Technology Application: Financial Predictions for Starbucks, Lowes, The Gap, and Intel | |
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| Applications of Integration | |
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| An Economics Application: Consumer Surplus and Producer Surplus | |
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| Applications of the Models | |
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| Improper Integrals | |
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| Probability | |
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| Probability: Expected Value The Normal Distribution | |
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| Volume | |
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| Differential Equations | |
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| Extended Technology Application: Curve Fitting and the Volume of a Bottle of Soda | |
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| Functions of Several Variables | |
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| Functions of Several Variables | |
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| Partial Derivatives | |
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| Maximum-Minimum Problems | |
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| An Application: The Least-Squares Technique | |
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| Constrained Maximum and Minimum Values: Lagrange Multipliers | |
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| Double Integrals | |
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| Extended Technology Application: Minimizing Employees' Travel Time in a Building | |
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| Cumulative Review | |
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| Review of Basic Algebra | |
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| Tables | |
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| Integration Formulas | |
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| Areas for a Standard Normal Distribution | |