Note: Supplemental materials are not guaranteed with Rental or Used book purchases.
Purchase Benefits
What is included with this book?
Note: Each chapter includes Review Exercises and P.S. Problem Solving | |
Preparation for Calculus | |
Graphs and Models | |
Linear Models and Rates of Change | |
Functions and Their Graphs | |
Fitting Models to Data | |
Inverse Functions | |
Exponential and Logarithmic Functions | |
Limits and Their Properties | |
A Preview of Calculus | |
Finding Limits Graphically and Numerically | |
Evaluating Limits Analytically | |
Continuity and One-Sided Limits | |
Infinite Limits | |
Section Project: Graphs and Limits of Trigonometric Functions | |
Differentiation | |
The Derivative and the Tangent Line Problem | |
Basic Differentiation Rules and Rates of Change | |
Product and Quotient Rules and Higher–Order Derivatives | |
The Chain Rule | |
Implicit Differentiation | |
Section Project: Optical Illusions | |
Derivatives of Inverse Functions | |
Related Rates | |
Newton's Method | |
Applications of Differentiation | |
Extrema on an Interval | |
Rolle's Theorem and the Mean Value Theorem | |
Increasing and Decreasing Functions and the First Derivative Test | |
Section Project: Rainbows | |
Concavity and the Second Derivative Test | |
Limits at Infinity | |
A Summary of Curve Sketching | |
Optimization Problems | |
Section Project: Connecticut River | |
Differentials | |
Integration | |
Antiderivatives and Indefinite Integration | |
Area | |
Riemann Sums and Definite Integrals | |
The Fundamental Theorem of Calculus | |
Section Project: Demonstrating the Fundamental Theorem | |
Section Project: St. Louis Arch | |
Differential Equations | |
Slope Fields and Euler's Method | |
Differential Equations: Growth and Decay | |
Differential Equations: Separation of Variables | |
The Logistic Equation | |
First–Order Linear Differential Equations | |
Section Project: Weight Loss | |
Predator–Prey Differential Equations | |
Applications of Integration | |
Area of a Region Between Two Curves | |
Volume: The Disk Method | |
Volume: The Shell Method | |
Section Project: Saturn | |
Arc Length and Surfaces of Revolution | |
Work | |
Section Project: Tidal Energy | |
Moments, Centers of Mass, and Centroids | |
Fluid Pressure and Fluid Force | |
Integration Techniques, L'Hocirc;pital's Rule, and Improper Integrals | |
Basic Integration Rules | |
Integration by Parts | |
Trigonometric Integrals | |
Section Project: Power Lines | |
Trigonometric Substitution | |
Partial Fractions | |
Integration by Tables and Other Integration Techniques | |
Indeterminate Forms and L'Hocirc;pital's Rule | |
Improper Integrals | |
Infinite Series | |
Sequences | |
Series and Convergence | |
Section Project: Cantor's Disappearing Table | |
The Integral Test andp–Series | |
Section Project: The Harmonic Series | |
Comparisons of Series | |
Section Project: Solera Method | |
Alternating Series | |
The Ratio and Root Tests | |
Taylor Polynomials and Approximations | |
Power Series | |
Representation of Functions by Power Series | |
Taylor and Maclaurin Series | |
Conics, Parametric Equations, and Polar Coordinates | |
Conics and Calculus | |
Plane Curves and Parametric Equations | |
Section Projects: Cycloids | |
Parametric Equations and Calculus | |
Polar Coordinates and Polar Graphs | |
Section Project: Anamorphic Art | |
Area and Arc Length in Polar Coordinates | |
Polar Equations of Conics and Kepler's Laws | |
Vectors and the Geometry of S | |
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.