Functions, Graphs, and Models | |

Graphs and Equations | |

Functions and Models | |

Finding Domain and Range | |

Slope and Linear Functions | |

Nonlinear Functions and Models | |

Mathematical Modeling and Curve Fitting | |

Extended Technology Application: Payrolls of Professional Basketball Teams | |

Differentiation | |

Limits: A Numerical and Graphical Approach | |

Algebraic Limits and Continuity | |

Average Rates of Change | |

Differentiation Using Limits of Difference Quotients | |

Differentiation Techniques: The Power and Sum-Difference Rules | |

Differentiation Techniques: The Product and Quotient Rules | |

The Chain Rule | |

Higher-Order Derivatives | |

Extended Technology Application: Path of a Baseball: The Tale of the Tape | |

Applications of Differentiation | |

Using First Derivatives to Find Maximum and Minimum Values and Sketch Graphs | |

Using Second Derivatives to Find Maximum and Minimum Values and Sketch Graphs | |

Graph Sketching: Asymptotes and Rational Functions | |

Using Derivatives to Find Absolute Maximum and Minimum Values | |

Maximum-Minimum Problems: Business and Economics Applications | |

Marginals and Differentials | |

Implicit Differentiation and Related Rates | |

Extended Technology Application: Maximum Sustainable Harvest | |

Exponential and Logarithmic Functions | |

Exponential Functions | |

Logarithmic Functions | |

Applications: The Uninhibited Growth Model, dP/dt = kP | |

Applications: Decay | |

The Derivatives of a x and logax | |

An Economics Application: Elasticity of Demand | |

Extended Technology Application: The Business of Motion Picture Box-Office Revenue | |

Integration | |

The Area Under a Graph | |

Area, Antiderivatives, and Integrals | |

Area and Definite Integrals | |

Properties of Definite Integrals | |

Integration Techniques: Substitution | |

Integration Techniques: Integration by Parts | |

Integration Techniques: Tables | |

Extended Technology Application: Financial Predictions for Starbucks, Lowes, The Gap, and Intel | |

Applications of Integration | |

An Economics Application: Consumer Surplus and Producer Surplus | |

Applications of the Models | |

Improper Integrals | |

Probability | |

Probability: Expected Value The Normal Distribution | |

Volume | |

Differential Equations | |

Extended Technology Application: Curve Fitting and the Volume of a Bottle of Soda | |

Functions of Several Variables | |

Functions of Several Variables | |

Partial Derivatives | |

Maximum-Minimum Problems | |

An Application: The Least-Squares Technique | |

Constrained Maximum and Minimum Values: Lagrange Multipliers | |

Double Integrals | |

Extended Technology Application: Minimizing Employees' Travel Time in a Building | |

Cumulative Review | |

Review of Basic Algebra | |

Tables | |

Integration Formulas | |

Areas for a Standard Normal Distribution | |

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