Prof. Vladimir Dobrushkin
Department of Mechanical Engineering
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Computer Resources

There are plenty of avalable software resources to help a student to plot direction fields, find solutions of differential equations and to print their visualizations. The main tutorial for this course is tutorial.

There is a friendly graphical program, Winplot, written by Richard Parris,
a teacher at Phillips Exeter Academy in Exeter, New Hampshire. Mr. Parris
generously allows free copying and distribution of the software and
provides frequent updates. The latest version can be downloaded from the website:
http://math.exeter.edu/rparris/winplot.html}

A student should feel free to use any resources, such as ODEToolkit from Harvey Mudd College,
http://odetoolkit.hmc.edu/
Wolfram Alpha,       http://www.wolframalpha.com/
VODE F90   Ordinary Differential Equation Solver,
http://www.radford.edu/~thompson/vodef90web/
Intel  Ordinary  Differential Equations Solver Library, 
http://software.intel.com/en-us/articles/intel-ordinary-differential-\\equations-solver-library/.
Many software codes can be found on Math Forum:
http://mathforum.org/differential/diff.software.html
and General resources and methods for ODEs web site:
http://www.scicomp.uni-erlangen.de/archives/SW/diffequ.html
You are free to use available user-friendly packages such as Iode
http://www.math.uiuc.edu/iode
that runs under either Matlab or Octave or the Matlab packages
dfield8.m
or
pplane8.m
developed by Professor John C. Polking, who made them available for educational purposes
 http://math.rice.edu/~dfield/dfpp.html

R is a programming language and software environment for statistical computing and graphics. R was created by Ross Ihaka and Robert Gentleman] at the University of Auckland, New Zealand, and is currently developed by the R Development Core Team, of which Chambers is a member. R is named partly after the first names of the first two R authors and partly as a play on the name of S.
Web site: www.r-project.org


There are two free computer algebra systems:
Sage:  http:/sagemath.org (available also in clouds)
wxMaxima:   http://sourceforge.net/projects/wxmaxima/ (the first computer algebra system in the world)

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