Note: Supplemental materials are not guaranteed with Rental or Used book purchases.
Purchase Benefits
What is included with this book?
Functions And Models | |
Four Ways to Represent a Function | |
Mathematical Models: A Catalog of Essential Functions | |
New Functions from Old Functions | |
Graphing Calculators and Computers | |
Review | |
Principles of Problem Solving | |
Limits | |
The Tangent and Velocity Problems | |
The Limit of a Function | |
Calculating Limits Using the Limit Laws | |
The Precise Definition of a Limit | |
Continuity | |
Review | |
Problems Plus | |
Derivatives | |
Derivatives and Rates of Change | |
Writing Project: Early Methods for Finding Tangents | |
The Derivative as a Function | |
Differentiation Formulas | |
Applied Project: Building a Better Roller Coaster | |
Derivatives of Trigonometric Functions | |
The Chain Rule | |
Applied Project: Where Should a Pilot Start Descent? Implicit Differentiation | |
Rates of Change in the Natural and Social Sciences | |
Related Rates | |
Linear Approximations and Differentials | |
Laboratory Project: Taylor Polynomials | |
Review | |
Problems Plus | |
Applications Of Differentiation | |
Maximum and Minimum Values | |
Applied Project: The Calculus of Rainbows | |
The Mean Value Theorem | |
How Derivatives Affect the Shape of a Graph | |
Limits at Infinity | |
Horizontal Asymptotes | |
Summary of Curve Sketching | |
Graphing with Calculus and Calculators | |
Optimization Problems | |
Applied Project: The Shape of a Can | |
Newton's Method | |
Antiderivatives | |
Review | |
Problems Plus | |
Integrals | |
Areas and Distances | |
The Definite Integral | |
Discovery Project: Area Functions | |
The Fundamental Theorem of Calculus | |
Indefinite Integrals and the Net Change Theorem | |
Writing Project: Newton, Leibniz, and the Invention of Calculus | |
The Substitution Rule | |
Review | |
Problems Plus | |
Applications Of Integration | |
Areas between Curves | |
Volume | |
Volumes by Cylindrical Shells | |
Work | |
Average Value of a Function | |
Review | |
Problems Plus | |
Appendixes | |
Intervals, Inequalities, and Absolute Values | |
Coordinate Geometry and Lines | |
Graphs of Second-Degree Equations | |
Trigonometry | |
Sigma Notation | |
Proofs of Theorems | |
Complex Numbers | |
Answers to Odd-Numbered Exercises | |
Table of Contents provided by Publisher. All Rights Reserved. |
The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.