First Course in Differential Equations : With Modeling Applications
by Zill, Dennis G.Edition: 9th
Format: Hardcover
Pub. Date: 2008-05-14
Publisher(s): Brooks Cole
Other versions by this Author
-
This Item Qualifies for Free Shipping!*
*Excludes marketplace orders.
-
We Buy This Book Back!
List Price: $377.94
Buy New
In stock
$359.94
Buy Used
In stock
$269.96
Rent Textbook
Select for Price
eTextbook
We're Sorry
Not Available
How Marketplace Works:
- This item is offered by an independent seller and not shipped from our warehouse
- Item details like edition and cover design may differ from our description; see seller's comments before ordering.
- Sellers much confirm and ship within two business days; otherwise, the order will be cancelled and refunded.
- Marketplace purchases cannot be returned to eCampus.com. Contact the seller directly for inquiries; if no response within two days, contact customer service.
- Additional shipping costs apply to Marketplace purchases. Review shipping costs at checkout.
Summary
A First Course in Differential Equations with Modeling Applications, 9th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible text speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and group projects. Using a straightforward, readable, and helpful style, this book provides a thorough treatment of boundary-value problems and partial differential equations.
Table of Contents
| Introduction to Differential Equations | |
| Definitions and Terminology | |
| Initial-Value Problems | |
| Differential Equations as Mathematical Models | |
| Chapter 1 in Review | |
| First-Order Differential Equations | |
| Solution Curves Without a Solution | |
| Separable Variables | |
| Linear Equations | |
| Exact Equations and Integrating Factors | |
| Solutions by Substitutions | |
| A Numerical Method | |
| Chapter 2 in Review | |
| Modeling with First-Order Differential Equations | |
| Linear Models | |
| Nonlinear Models | |
| Modeling with Systems of First-Order Differential Equations | |
| Chapter 3 in Review | |
| Higher-Order Differential Equations | |
| Preliminary Theory- Linear Equations | |
| Reduction of Order | |
| Homogeneous Linear Equations with Constant Coefficients | |
| Undetermined Coefficients- Superposition Approach | |
| Undetermined Coefficients- Annihilator Approach | |
| Variation of Parameters | |
| Cauchy-Euler Equation | |
| Solving Systems of Linear Differential Equations by Elimination | |
| Nonlinear Differential Equations | |
| Chapter 4 in Review | |
| Modeling with Higher-Order Differential Equations | |
| Linear Models: Initial-Value Problems | |
| Linear Models: Boundary-Value Problems | |
| Nonlinear Models | |
| Chapter 5 in Review | |
| Series Solutions of Linear Equations | |
| Solutions About Ordinary Points | |
| Solutions About Singular Points | |
| Special Functions | |
| Chapter 6 in Review | |
| Laplace Transform | |
| Definition of the Laplace Transform | |
| Inverse Transform and Transforms of Derivatives | |
| Operational Properties I | |
| Operational Properties II | |
| Dirac Delta Function | |
| Systems of Linear Differential Equations | |
| Chapter 7 in Review | |
| Systems of Linear First-Order Differential Equations | |
| Preliminary Theory | |
| Homogeneous Linear Systems | |
| Nonhomogeneous Linear Systems | |
| Matrix Exponential | |
| Chapter 8 in Review | |
| Numerical Solutions of Ordinary Differential Equations | |
| Euler Methods | |
| Runge-Kutta Methods | |
| Multistep Methods | |
| Higher-Order Equations and Systems | |
| Second-Order Boundary-Value Problems | |
| Chapter 9 in Review | |
| Gamma Function | |
| Matrices | |
| Laplace Transforms | |
| Answers for Selected Odd-Numbered Problems | |
| 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.