| Preface | |
| Calculator Introduction | |
| Functions, Graphs, and Limits | |
| Functions | |
| The Graph of a Function | |
| Linear Functions | |
| Functional Models | |
| Limits | |
| One-Sided Limits and Continuity Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter | |
| Review Problems Explore! Update Think About It | |
| Differentiation: Basic Concepts | |
| The Derivative | |
| Techniques of Differentiation | |
| Product and Quotient Rules; Higher Order | |
| The Chain Rule | |
| Marginal Analysis and Approximations Using Increments | |
| Implicit Differentiation and Related Rates Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 2 Review Problems Explore! Update Think About It | |
| Additional Applications of the Derivative | |
| Increasing and Decreasing Functions; Relative Extrema | |
| Concavity and Points of Inflection | |
| Curve Sketching | |
| Optimization | |
| Additional Applied Optimization Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 3 Review Problems Explore! Update Think About It | |
| Exponential and Logarithmic Functions | |
| Exponential Functions | |
| Logarithmic Functions | |
| Differentiation of Logarithmic and Exponential Functions | |
| Additional Exponential Models Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 4 Review Problems Explore! Update Think About It | |
| Integration | |
| Antidifferentiation: The Indefinite Integral | |
| Integration by Substitution | |
| The Definite Integral and the Fundamental Theorem of Calculus | |
| Applying Definite Integration: Area Between Curves and Average Value | |
| Additional Applications to Business and Economics | |
| Additional Applications to the Life and Social Sciences Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 5 Review Problems Explore! Update Think About It | |
| Additional Topics in Integration | |
| Integration by Parts; Integral Tables | |
| Introduction to Differential Equations | |
| Improper Integrals; Continuous Probability | |
| Numerical Integration Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 6 Review Problems Explore! Update Think About It | |
| Calculus of Several Variables | |
| Functions of Several Variables | |
| Partial Derivatives | |
| Optimizing Functions of Two Variables | |
| The Method of Least-Squares | |
| Constrained Optimization: The Method of Lagrange Multipliers | |
| Double Integrals Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 7 Review Problems Explore! Update Think About It | |
| Algebra Review | |
| A Brief Review of Algebra | |
| Factoring Polynomials and Solving Systems of Equations | |
| Evaluating Limits with L'Hocirc;pital's Rule Appendix Summary Important Terms, Symbols, and Formulas Review Problems Think About It Tables I Powers of e II The Natural Logarithm (Base e) Text Solutions Answers to Odd-Numbered Problems, Chapter Checkup Problems, and Chapter Review Problems | |
| Index | |
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