[Adrock]

I also interned at Wolfram in 2000. I spent the summer writing coverage tests, which meant getting to run Mathematica through gcov and seeing what lines weren't being hit by the test suite. Writing coverage tests for most things would have been incredibly boring, but this was anything but. There were lines of code that required me to spend two days in the Wolfram library reading up on branches of math I had never heard of before (wtf is a Gröbner basis?!). My favorite discovery was a line of code in the integer factoring function that I could only hit if I constructed a number by multiplying several Carmichael numbers IN A CERTAIN ORDER. If you like math and computer science, it's hard to imagine a better place to intern.

Sorry to hear about the rest of your undergrad experience. I was really fortunate that I never had a professor complain about me using Mathematica for everything. Even just typesetting math in Mathematica instead of LaTeX was a huge benefit for me.

One of my favorite classes was Computational Algebra taught by Dana Scott. He did the entire class in Mathematica. Each lecture was just him walking through a notebook and the problem sets were all about writing Mathematica code to solve interesting problems. I think I still have them somewhere...