Sample syllabus (html format)
Some introductory material on the use of MAPLE; practice problems; information about using the lab in B5 MLH and its UNIX machines. (Much of this latter part is also applicable to the Engineering labs.) In pdf format.
Computer assignment on serial decay of radioactive
isotopes, part I (pdf format)
Computer assignment on serial decay of radioactive
isotopes, part II (pdf format)
Computer assignment on amplitude modulation and
resonance, part I (pdf format)
Computer assignment on amplitude modulation and
resonance, part II (pdf format)
Computer assignment on amplitude modulation and
resonance, part III (pdf format)
Introductory material on nonlinear equations, energy and phase plane methods (pdf format)
Computer assignment on energy and phase plane methods (pdf format)
The following plots are relevant to the computer assignment just above -- one can take the MAPLE instructions in them, experiment with changing the differential equations, initial conditions, time duration, and various other parameters, to suit the problem at hand.
A hard oscillator phase portrait (html format
with gif)
A soft oscillator phase portrait (html format
with gif)
Another soft oscillator
phase portrait (html format
with gif)
Still another soft oscillator
phase portrait (html format
with gif)
A pendulum phase portrait (html format
with gif)
Another pendulum phase portrait (html format
with gif)
A damped
hard oscillator phase portrait (html format
with gif)
A damped
soft oscillator phase portrait (html format
with gif)
Another damped
soft oscillator phase portrait (html format
with gif)
A damped pendulum phase portrait (html format
with gif)
A phase portrait of an equation from Economics
(html format with gif)
An inhomogeneous hard oscillator (html format
with gif)
Another inhomogeneous hard oscillator (html format
with gif)
Phase portrait of a linear oscillator at
undamped resonance
(html format
with gif)