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Below are some widely used mathematical modeling tools and resources available online to get you started.

Wolfram Mathworld
A free resource from Wolfram Research built with Mathematica technology. Created, developed & nurtured by Eric Weisstein with contributions from the world's mathematical community.
AMPL
AMPL is a comprehensive and powerful algebraic modeling language for linear and nonlinear optimization problems, in discrete or continuous variables. There is a free student version available to download online.
R
R is a statistical programming language that has lots of helpful built-in functions.
Mathematica
Mathematica is a popular software system for scientific computing developed by Wolfram Research. A free copy may be available through your university.
Matlab
Matlab is a programming language and numerical computing environment. Especially useful for linear algebra applications because of its facility with matrices.
Python
Python is an object-oriented language for software development.
Octave
Octave is a numerical computing language.

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