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I'm looking for ideas for projects that I can do on my own, that involve either calculus or differential equations. Something so I can actually use what I've learned to produce results. Maybe, programming ideas, or ... I don't know.

Some project that shows that what I know actually matters and isn't just for solving contrived problems that only matter on the page right in front of me.

I need a reminder of that.

If anyone has any links to interesting problem sets (if such a thing exists), I'd like to see them.

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That depends on what you mean by "results." –  Qiaochu Yuan Oct 4 '12 at 23:07
    
Yeah that's difficult. I suppose, something I can look at and be satisfied with. Just throw out ideas, maybe one will stick. Or suggest an idea that you believe would be good for a self-studier, something that might provide something that's available in college? –  Korgan Rivera Oct 4 '12 at 23:23
    
You could take a look at my question regarding zoom-out functionality, then perhaps install KLayout in order to see how the chip design engineer community uses this zoom out functionality. Then you can think about whether that would be something worth having in a program like gnuplot (or matlab), and how you could go about to make it happen (if you care). –  Thomas Klimpel Oct 5 '12 at 0:26

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