The Maple® O.D.E. Lab Book
Published on 10. October 1996
Book
Mixed media product
X, 160 pages
978-0-387-94733-4 (ISBN)
Description
The Maple ODE Lab Book is intended to provide a thorough introduc tion to using symbolic computation software to model, solve, explore, and visualize ordinary differential equations. It is best used as a supplement to existing texts (see the bibliography for some of our recommended texts). Maple was chosen as our software package because of its ease-of-use, affordability, and popularity at many universities and colleges around the world. The version being used is Maple V Release 4. If you have a previous release of Maple, some of the commands shown in this lab book will work differently (or not at all), but the basic groundwork for solving ODEs hasn't changed. Speak to your system administrator about upgrading to Release 4, or contact: Waterloo Maple Inc. 450 Phillip Street Waterloo, Ontario CANADA N2L 5J2 Phone: (519) 747-2373 FAX: (519) 747-5284 E-mail: info@maplesoft.com WWW: http://www.maplesoft.com 1 2 Chapter 1. Introduction How This Lab Book Is Organized Each subsequent chapter of this lab book contains information and ex amples of how to apply Maple to various elements of ordinary differential equations. It is suggested that you read the chapters with your computer on and Maple V Release 4 running. You can then execute many of the com mands yourself and experiment by changing various parameters and/or initial conditions, observing the corresponding changes in the results.
More details
Edition
Softcover reprint of the original 1st ed. 1996
Language
English
Place of publication
New York
United States
Target group
College/higher education
Lower undergraduate
Illustrations
X, 160 p. With Diskette.
Dimensions
Height: 254 mm
Width: 203 mm
Thickness: 10 mm
Weight
384 gr
ISBN-13
978-0-387-94733-4 (9780387947334)
DOI
10.1007/978-1-4612-2402-0
Schweitzer Classification
Other editions
Additional editions
Darren Redfern | Edgar Chandler
The Maple® O.D.E. Lab Book
E-Book
12/2012
Springer
€68.47
Available for download
Content
1. Introduction.- How This Lab Book Is Organized.- Using the Diskette.- Where to Go for More Information.- Acknowledgments.- 2. Getting Started with Maple.- Starting Maple.- Basic Maple Syntax.- Basic Maple Objects.- Mixing and Matching Different Number Types.- Strings.- Maple Expressions.- Sets and Lists.- Calling Maple Commands.- Assignments and Equations.- The Use of Quotes in Maple.- Activities for §2.- 3. First-Order ODEs.- Defining and Solving First-Order ODEs.- Explicit vs. Implicit Solutions.- Activities for §3.- 4. Applications of First-Order ODEs.- Falling, Floating, or Accelerating Objects.- Mixture Problems.- Activities for §4.- 5. Graphical Methods.- Direction Fields.- Some Examples.- Activities for §5.- 6. Homogeneous Linear Differential Equations.- Activities for §6.- 7. Non-homogeneous Linear Differential Equations.- Activities for §7.- 8. Applications of Linear Differential Equations.- Free, Undamped Motion.- Free, Damped Motion.- Activities for §8.- 9. More Applications and Systems of Differential Equations.- Forced Motion.- Systems of Linear Differential Equations.- Activities for §9.- 10. Phase Planes.- Activities for §10.- 11. Matrix Operations.- Basic Concepts.- Characteristic Values and Characteristic Vectors.- Activities for §11.- 12. Matrix Methods of Solution.- Activities for §12.- 13. Isoclines.- Activities for §13.- 14. Series Solutions.- Activities for §14.- 15. Numerical Methods.- Problems with Numerical Methods.- Activities for §15.- 16. The Laplace Transform.- Activities for §16.