Table of Contents for
Maple-Based Instructor's Guide for Nagle/Saff

by Douglas B. Meade

1 Introduction

2 Introduction to Maple for ODEs
2.1 Getting Started with Maple
2.2 Basic Maple Demonstration for Students
What is Computer Algebra? * Documentations and On-Line Help * Essential Facts * Arithmetic * Plotting * Discontinuous Functions * Calculus Manipulations * Application I: Integration of a Rational Function
2.3 Demonstration of Maple for ODEs
Direction Fields and Graphical Solutions * Symbolic Solutions to ODEs and IVPs * Expressions and Functions * Systems of ODEs * Numeric Solutions * Series Solutions * Laplace Transforms * DESol

3 Sample Maple Worksheets
3.1 Notes to the Instructor: Worksheets
3.2 Direction Fields
3.3 Euler's Method
3.4 Picard's Method
3.5 Discontinuous Coefficients and Forcing Functions
3.6 Mixing Problems
3.7 Boundary Value Problems
3.8 Forced Vibrations
3.9 Phase Plane
3.10 Laplace Transforms
3.11 Systems of First-Order Equations

4 Additional Project Descriptions
4.1 Notes to the Instructor: Group Projects
4.2 Design Your Own Project
4.3 The ODE of World-Class Sprints
4.4 Consecutive Reactions for Batch Reactors
4.5 Normal T-Cells (Part 1 of 2)
4.6 T-Cells in the Presence of HIV (Part 2 of 2)
4.7 Design of an Electrical Network
4.8 Hypergeometric Functions

5 Listing of Maple Worksheets

6 Additional Resources for Maple
Books and Other Printed Media * Maple on the Internet * Bibliography

Appendix A: Maple Quick Reference
On-Line Help * Mathematical Operations, Functions, and Constants * Maple Symbols and Abbreviations * General Display, Evaluation, and Manipulation * Algebra, Calculus and Differential Equations * Algebra, Calculus and Differential Equations
Return to Maple-Based Instructor's Guide for Nagle/Saff title page.
Last modified: 26 August 1996, by Douglas B. Meade (meade@math.sc.edu)