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The Maple® O.D.E. Lab Book

  • Textbook
  • © 1996

Overview

Authors:
  1. Darren Redfern

    1. Practical Approach Corporation, Waterloo, Canada

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    You can also search for this author in PubMed   Google Scholar

  2. Edgar Chandler

    1. Scottsdale Community College, Scottsdale, USA

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    You can also search for this author in PubMed   Google Scholar

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-ix
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  2. Introduction

    • Darren Redfern, Edgar Chandler
    Pages 1-3

  3. Getting Started with Maple

    • Darren Redfern, Edgar Chandler
    Pages 4-24

  4. First-Order ODEs

    • Darren Redfern, Edgar Chandler
    Pages 25-32

  5. Applications of First-Order ODEs

    • Darren Redfern, Edgar Chandler
    Pages 33-44

  6. Graphical Methods

    • Darren Redfern, Edgar Chandler
    Pages 45-55

  7. Homogeneous Linear Differential Equations

    • Darren Redfern, Edgar Chandler
    Pages 56-64

  8. Non-homogeneous Linear Differential Equations

    • Darren Redfern, Edgar Chandler
    Pages 65-70

  9. Applications of Linear Differential Equations

    • Darren Redfern, Edgar Chandler
    Pages 71-82

  10. More Applications and Systems of Differential Equations

    • Darren Redfern, Edgar Chandler
    Pages 83-90

  11. Phase Planes

    • Darren Redfern, Edgar Chandler
    Pages 91-99

  12. Matrix Operations

    • Darren Redfern, Edgar Chandler
    Pages 100-110

  13. Matrix Methods of Solution

    • Darren Redfern, Edgar Chandler
    Pages 111-116

  14. Isoclines

    • Darren Redfern, Edgar Chandler
    Pages 117-120

  15. Series Solutions

    • Darren Redfern, Edgar Chandler
    Pages 121-130

  16. Numerical Methods

    • Darren Redfern, Edgar Chandler
    Pages 131-139

  17. The Laplace Transform

    • Darren Redfern, Edgar Chandler
    Pages 140-153

  18. Back Matter

    Pages 155-160
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Keywords

About this book

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.

Authors and Affiliations

  • Practical Approach Corporation, Waterloo, Canada

    Darren Redfern

  • Scottsdale Community College, Scottsdale, USA

    Edgar Chandler

Bibliographic Information

  • Book Title: The Maple® O.D.E. Lab Book

  • Authors: Darren Redfern, Edgar Chandler

  • DOI: https://doi.org/10.1007/978-1-4612-2402-0

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1996

  • Softcover ISBN: 978-0-387-94733-4Published: 10 October 1996

  • eBook ISBN: 978-1-4612-2402-0Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: X, 160

  • Topics: Topological Groups, Lie Groups

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