Maple's Numeric Solver: A collection of template Maple commands to help find graphs of numeric solutions to differential equations, display direction fields and display several plots together.
Maple write up for a lab book sample problem from set B.
Sample uses of DEplot for systems of differential equations and second order differential equations.
A link to a Maple worksheet (right click the link and choose "Save Link As" form the ensuing menu) covering section 1.7 on planar systems of ODEs.
Maple materials (in HTML with a link to the actual Maple worksheet) on section 1.8, Cold Pills. A look at cascading systems and their box and arrow diagrams.
Section 2.2, Extension and long term behavior (Maple worksheet). Looking for maximally extended solutions and also limits at infinity of bounded solutions to autonomous ODEs.
Section 2.5, (Maple worksheet) Euler's Method, Heun's Method and RK4, the Runge-Kutta method of order 4 with Maple.
Section 2.6, Backing Up Numeric Solvers ( Maple worksheet), things which can go wrong. When many non-similar solutions converge toward a single solution, picking a point on the single solution and "going back" in time, can give erroneous results.
Section 3.2, 2nd Order plots (Maple worksheet), plotting commands and numerical techniques for second order differential equations.
Section 5.1, Systems and Springs (Maple worksheet), a look at coupled Hooke's Law spring masses and the system of differential equations which they generate, with animations.
Section 5.2, properties of systems (Maple worksheet), equilibrium points, nullclines and a 3d view of planar systems.
Section
11.5, Frobenius' method by hand (Maple
worksheet), an introduction to the power series technique at regular
singular points, with nice roots of the indicial equation, without using
dsolve(
... type = series, ... ).
Quiz 1, covering sections 1.1 to 1.3 of the text.
Final exam: Tuesday May 04 1:30 to 4:30 PM, Memorial
202.
Tom's Home
Page.