After you have access to Mathematica (myQC link) on campus or at home, this is where to come for Mathematica resources related to mathematical modeling.
A condensed list of handy Mathematica commands.
Tutorial 1: Getting started in Mathematica.
Tutorial 2: Using lists in Mathematica. (Download: 245sp12tut2.nb)
Tutorial 3: Plotting functions and data in Mathematica. (Download: 245sp12tut3.nb)
Tutorial 4: Fitting functions to data in Mathematica. (Download: 245sp12tut4.nb)
Tutorial 5: Introduction to Random Numbers and Simulation Models. (Download: 245sp12tut5.nb)
Tutorial 6: Linear Programming in Mathematica.
Useful links from the Mathematica website:
A few introductory videos:
A sampling of their "How to" guides:
A sampling of their Tutorials: