Preface | |

A Users Guide to Features | |

Integrating Excel | |

Graphing Calculator Terminology | |

Functions | |

Real Numbers, Inequalities, and Lines | |

Exponents | |

Functions | |

Functions, Continued | |

Derivatives And Their Uses | |

Limits and Continuity | |

Rates of Change, Slopes, and Derivatives | |

Some Differentiation Formulas | |

The Product and Quotient Rules | |

Higher-Order Derivatives | |

The Chain Rule and the Generalized Power Rule | |

Nondifferentiable Functions | |

Further Applications Of Derivatives | |

Graphing Using the First Derivative | |

Graphing Using the and Second Derivatives | |

Optimization | |

Further Applications of Optimization | |

Optimizing Lot Size and Harvest Size | |

Implicit Differentiation and Related Rules | |

Exponential And Logarithmic Functions | |

Exponential Functions | |

Logarithmic Functions | |

Differentiation of Logarithmic.and Exponential Functions | |

Two Applications to Economics: Relative Rates and Elasticity of Demand | |

Integration And Its Applications | |

Antiderivatives and Indefinite Integrals | |

Integration Using Logarithmic and Exponential Functions | |

Definite Integrals and Areas | |

Further Applications of Definite Integrals: Average Value and Area Between Curves | |

Two Applications to Economics: Consumers Surplus and Income Distribution | |

Integration by Substitution | |

Integration Techniques | |

Integration by Parts | |

Integration Using Tables | |

Improper Integrals | |

Numerical Integration | |

Calculus Of Several Variables | |

Functions of Several Variables | |

Partial Derivatives | |

Optimizing Functions of Several Variables | |

Least Squares | |

Lagrange Multipliers and Constrained Optimization | |

Total Differentials and Approximate Changes | |

Multiple Integrals | |

Trigonometric Functions | |

Triangles, Angles, and Radian Measure | |

Sine and Cosine Functions | |

Derivatives of Sine and Cosine Functions | |

Integrals of Sine and Cosine Functions | |

Other Trigonometric Functions | |

Differential Equations | |

Separation of Variables | |

Further Applications of Differential Equations: Three Models of Growth | |

First-Order Linear Differential Equations | |

Approximate Solutions of Differential Equations: Eulers Method | |

Sequences And Series | |

Geometric Series | |

Taylor Polynomials | |

Taylor Series | |

Newtons Method | |

Probability | |

Discrete Probability | |

Continuous Probability | |

Uniform and Exponential Random Variables | |

Norml Random Variables | |

Appendix: Normal Probabilities from Tables | |

Answers to Selected Exercises | |

Index | |

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