Graphing Software

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If you've some JavaScript, try a library called D3. Map your data to SVG graphics

Yes, D3 is awesome. You have to be comfortable working the DOM with js, though. If you are, D3 is an amazing, free toybox: http://d3js.org/

Another thing to look into, if you know (or are willing to learn) Python, is matplotlib: http://matplotlib.org/index.html

Matplotlib is another vast box of toys.

All this makes me think of the "Infinite Fun Space" where the great Minds of Iain M. Banks' Culture go to recreate...

Excel is pretty good for data plots/curve fitting. Polymath is great for plotting first-order ODEs. It can plot many other functions too side-by-side. It's a cheap program too...I don't know how much it costs standalone but my copy came free with a reaction engineering textbook (if you're curious let me know and I'll get you the textbook name). Any of the mathy programs (matlab, mathmatica, mathcad) can also do all of that stuff.

Gnuplot is free, but if you are on Windows, I think that you will have to learn to set up and use something called Cygwin.