Mathlab Math 221 Support Page
(This page: http://www.mathlab.cornell.edu/support/m221_support/m221_support.htm)
The lab consists primarily of dual booting Windows 2000/Linux
Pentium 4 machines. There are also 4 old Macs.
Linear algebra capable programs to support Math 221 in the lab include:
 Maple
 is installed on all Windows and linux machines
with support notes at http://www.mathlab.cornell.edu/support/maple.html.

 Some linear algebra samples for getting started include:
 linalg: html format  Basiclinalg.mws (more symbolic support)
 LinearAlgebra: html
format 
BasicLinearAlgebra.mws
(faster numerical support)
 Entering Matrices: html
format  EnteringMatrices.mws
 Matlab
 is installed on all pentium 4 linux and windows 2000 machines
with support notes at http://www.mathlab.cornell.edu/support/matlab/using_matlab.html.
 Mathematica
 is installed right now on two machines; the linux side of indian and
the Windows 2000 side of tahoe.
We have a number of reference books in the lab on using Maple and
Matlab within linear algebra courses. (Specific List Forthcoming)
A general listing of references in the lab is at
http://mathlab.cit.cornell.edu/references/references.html.
The lab also has much support for differential equations. For the
moment you might refer to our Math 420 support page
http://mathlab.cit.cornell.edu/support/m420_support/m420_support.html
and the differential equation ideas below.
 Errors in ODE integration schemes as a function of
method and step size. Empirical measures of the order of a method.
 Experiment with graphical integrators and then argue
for the correctness of some of the results seen. (e.g. fences,
vertical asymptotes, behavior at infinity.)
 Bifurcations of 2d homogeneous linear systems.
 Matrix exponential and applications.
 Computer assistance for variation of parameters.
 Computer assistance for change of coordinates.
 Logistic, predatorprey and generalizations as a
function of parameter.
 Computer algebra systems in scratchpad mode to
assist with power series and Frobenius methods solutions.
 Use computers to bring some special functions to life.
 Study some basic low codimension bifurcations (e.g.
saddle node, pitchfork, hopf.)
 Sensitive dependence on initial conditions.
 Study attractive periodic points as a function of
parameter in the 1d discrete logistic equation to see chaotic behavior.
 Explore the restricted 3 body problem numerically.
 Web Resources:
 Java and Matlab versions of Dfield and Pplane:
 http://math.rice.edu/polking
 Dynamics Solver Source:
 http://tp.lc.ehu.es/JMA/ds/ds.html
 Interactive Differential Equations:
 http://awlonline.com/ide/ (All labs available online in pdf
format!)
 IDEA:
 http://www.sci.wsu.edu/idea
 CODEE
 http://www.math.hmc.edu/codee/main.html
 Mathlab:
 http://www.mathlab.cornell.edu/computer_and_portfolio/index.html#ODE
At most times when the lab is open, consultants have ready access to
immediate support by telephone, so please don't hesitate to ask
questions when you have them.
Last Update: September 16, 2002