Mathematica only aboard your pirate ship, because you can't afford it. On the topic of things you can't afford, MATLAB. Both are awesome. Octave is a good, free sub for MATLAB.
I wouldn't advise Gnuplot. Esoteric scripting, kind of a pain in the ass, and limited beyond plotting (not great for analyzing). Octave uses it to plot, IIRC, which is a better way in my opinion.