Book 3 Resources
In the navigation panel you can download a zip file containing all the resources for Book 3, or you can click on the links below to download them individually. (You may need to right-click and choose 'save link as ...').
This Maple worksheet shows how to make direction fields like that in Chapter 1, page 8. Also relates to Section 2.1 and shows how to solve differential equations analytically.
Relates to Section 2.2. This Excel spreadsheet shows how to solve differential equations numerically. The first sheet uses Euler's method. The rest use the Runge-Kutta method. There are various approaches: a single DE, multiple DEs, using just the spreadsheet and implementing computer code.
Relates to Chapter 3. This Maple worksheet shows how to do Laplace and inverse Laplace transforms.
Relates to Chapter 4. Shows how to use Excel to generate discrete functions using recursion relations and how to plot them.
Refers to Figs. 5.3 to 5.8 This Excel spreadsheet shows how poles inside/outside the unit circle correspond to stable/unstable discrete functions.