| Worksheet |
 |
Description |
| Introduction #1 |
|
Brief introduction to dsolve and DEplot for first-order equations.
|
| Introduction #2 |
|
Brief introduction to dsolve and DEplot for second-order equations.
|
|
Euler's method |
|
Maple worksheet illustrating Euler's method for the
heat-flow model.
|
|
Heun's method |
|
Maple worksheet illustrating Heun's method
|
| Euler #1 |
|
Simple blocks of Maple instructions that will do Euler's method for you.
|
| Undetermined
Coefficients #1 |
|
A simple block of Maple commands that will do all of the dirty work of
undetermined coefficients for you. (A great way to check your
answers.)
|
| Euler #2 |
|
This turns the second-order equation into a system and runs Euler's
method to build an approximate solution. Have fun!
|
|
Resonance |
|
This worksheet generates handles the "general" damped, forced
spring-mass system. It allows you to plot the amplitude as a
function of the forcing frequency.
|
|
Limiting Behavior |
|
This worksheet generates graphs in the phase plane for
spring-mass systems. Some of the commands here can be useful
when you start work on Project 2.
|
|
The REAL Pendulum |
|
This worksheet generates solution curves for the real, nonlinear
pendulum and allows you to compare the results with the linearized
model.
|
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Competing Species
|
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This worksheet generates solution curves for a population model where
two species compete for limited resources.
|
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Euler's method (systems)
|
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This worksheet implements Euler's method for a nonlinear predator-prey model.
|
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Heun's method (systems)
|
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This worksheet implements Heun's method for the same predator-prey model.
|
|
Euler's method (2nd order eqns.)
|
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This worksheet implements Euler's method for a damped mass-spring model.
|
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Heun's method (2nd order eqns.)
|
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This worksheet implements Heun's method for the same mass-spring model.
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