Ingredients Of Change: Functions And Limits | |

Functions--Four Representations | |

Function Behavior and End Behavior Limits | |

Limits and Continuity | |

Linear Functions and Models | |

Exponential Functions and Models | |

Models in Finance | |

Constructed Functions | |

Logarithmic Functions and Models | |

Quadratic Functions and Models | |

Logistic Functions and Models | |

Cubic Functions and Models | |

Cyclic Functions and Models | |

Representations of a Sine Function | |

Characteristics of Sine Functions | |

Describing Change: Rates | |

Measures of Change over an Interval | |

Measures of Change at a Point | |

Rates of Change--Notation and Interpretation | |

Rates of Change--Numerical Limits and Non-existence | |

Rates of Change Defined over Intervals | |

Sketching Rate-of-Change Graphs | |

Determining Change: Derivatives | |

Simple Rate-of-Change Formulas | |

Exponential, Logarithmic, and Cyclic Rate-of-Change Formulas | |

Rates of Change for Functions That Can Be Composed | |

Rates of Change of Composite Functions | |

Rates of Change for Functions That Can Be Multiplied | |

Rates of Change for Product Functions | |

Limits of Quotients and L'H?pital's Rule | |

Analyzing Change: Applications Of Derivatives | |

Linearization | |

Relative Extreme Points | |

Relative Extreme Points | |

Inflection Points and Second Derivatives | |

Marginal Analysis | |

Optimization of Constructed Functions | |

Related Rates | |

Accumulating Change: Limits Of Sums And The Definite Integral | |

An Introduction to Results of Change | |

Limit of Sums and the Definite Integral | |

Accumulation Functions | |

The Fundamental Theorem | |

Antiderivative Formulas for Exponential, Natural Log, and Sine Functions | |

The Definite Integral--Algebraically | |

Differences of Accumulated Change | |

Average Value and Average Rate of Change | |

Integration of Product or Composite Functions | |

Analyzing Accumulated Change: Integrals And Action | |

Perpetual Accumulation and Improper Integrals | |

Streams in Business and Biology | |

Calculus in Economics--Demand and Elasticity | |

Calculus in Economics--Supply and Equilibrium | |

Calculus in Probability--Part | |

Calculus in Probability--Part | |

Differential Equations--Slope Fields and Solutions | |

Differential Equations--Proportionality and Common Forms | |

Ingredients Of Multivariable Change: Functions And Rates | |

Multivariable Functions and Contour Graphs | |

Cross-Sectional Models and Rates of Change | |

Partial Rates of Change | |

Compensating for Change | |

Analyzing Multivariable Change: Optimization | |

Extreme Points and Saddle Points | |

Multivariable Optimization | |

Optimization Under Constraints | |

Least-Squares Optimization | |

Answers to Odd Activities | |

Index of Applications | |

Subject Index | |

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