Calculus of a Single Variable 9th Edition
by Larson, Ron; Edwards, Bruce H.Edition: 9th
Format: Hardcover
Pub. Date: 2008-11-10
Publisher(s): Brooks Cole
Other versions by this Author
-
Complimentary 7-Day eTextbook Access - Read more
When you rent or buy this book, you will receive complimentary 7-day online access to the eTextbook version from your PC, Mac, tablet, or smartphone.
List Price: $299.95
Buy Used
In Stock
$239.96
Rent Textbook
Select for Price
Rent Digital
$64.99
New Textbook
We're Sorry
Sold Out
Summary
The Larson Calculus program has a long history of innovation in the calculus market. It has been widely praised by a generation of users for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.
Table of Contents
| P. Preparation For Calculus | |
| Graphs and Models | |
| Linear Models and Rates of Change | |
| Functions and Their Graphs | |
| Fitting Models to Data Review Exercises P.S. Problem Solving | |
| 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 Review Exercises P.S. Problem Solving | |
| Differentiation | |
| The Derivative and the Tangent Line Problem | |
| Basic Differentiation Rules and Rates of Change | |
| The Product and Quotient Rules and Higher-Order Derivatives | |
| The Chain Rule | |
| Implicit Differentiation Section Project: Optical Illusions | |
| Related Rates Review Exercises P.S. Problem Solving | |
| 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 | |
| Newton's Method | |
| Differentials Review Exercises P.S. Problem Solving | |
| Integration | |
| Antiderivatives and Indefinite Integration | |
| Area | |
| Riemann Sums and Definite Integrals | |
| The Fundamental Theorem of Calculus Section Project: Demonstrating the Fundamental Theorem | |
| Integration by Substitution | |
| Numerical Integration Review Exercises P.S. Problem Solving | |
| Logarithmic, Exponential, And Other Transcendental Functions | |
| The Natural Logarithmic Function: Differentiation | |
| The Natural Logarithmic Function: Integration | |
| Inverse Functions | |
| Exponential Functions: Differentiation and Integration | |
| Bases Other than e and Applications Section Project: Using Graphing Utilities to Estimate Slope | |
| Inverse Trigonometric Functions: Differentiation | |
| Inverse Trigonometric Functions: Integration | |
| Hyperbolic Functions Section Project: St. Louis Arch Review Exercises P.S. Problem Solving | |
| Differential Equations | |
| Slope Fields and Euler's Method | |
| Differential Equations: \Growth and Decay | |
| Separation of Variables and the Logistic Equation | |
| First-Order Linear Differential Equations Section Project: Weight Loss Review Exercises P.S. Problem Solving | |
| 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 Review Exercises P.S. Problem Solving | |
| Integration Techniques, L'Hopital'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'Hopital's Rule | |
| Improper Integrals Review Exercises P.S. Problem Solving | |
| Infinite Series | |
| Sequences | |
| Series and Convergence Section Project: Cantor's Disappearing Table | |
| The Integral Test and p-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 Review Exercises P.S. Problem Solving | |
| Conics, Parametric Equations, And Polar Coordinates | |
| Conics and Calculus | |
| Plane Curves and Parametric Equations Section Project: 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 Review Exercises P.S. Problem Solving | |
| Book Appendices | |
| Proofs of Selected Theorems | |
| Integration Tables | |
| Online Appendices | |
| Precalculus Review (please visit URL to come) | |
| Real Numbers and the Real Number Line | |
| The Cartesian Plane | |
| Review of Trigonometric Functions | |
| Rotation and the General Second-Degree Equation (please visit URL to come) | |
| Complex Numbers (please visit URL to come) | |
| Business and Economic Applications (please visit URL to come) | |
| Table of Contents provided by Publisher. All Rights Reserved. |
An electronic version of this book is available through VitalSource.
This book is viewable on PC, Mac, iPhone, iPad, iPod Touch, and most smartphones.
By purchasing, you will be able to view this book online, as well as download it, for the chosen number of days.
Digital License
You are licensing a digital product for a set duration. Durations are set forth in the product description, with "Lifetime" typically meaning five (5) years of online access and permanent download to a supported device. All licenses are non-transferable.
More details can be found here.
A downloadable version of this book is available through the eCampus Reader or compatible Adobe readers.
Applications are available on iOS, Android, PC, Mac, and Windows Mobile platforms.
Please view the compatibility matrix prior to purchase.