In order to answer this question, one would have to know what Jason's definition of Calc III is. Not all colleges and universities will define it as the same thing. Certainly, a knowledge of Calculus, Differential Calculus, Linear Algebra, and Engineering Mathematics (prereqs for Engineering Math are Calc I thru IV [or I thru III, depending on where in NY you got your basic Calculus classes] and differential Calculus, at least at SUNY @ Stony Brook) would be helpful. Being able to deal with FFTs is always helpful. Having a good understanding of number theory, and random number generation is good too. I could go on, but y'all get the drift I think, games are highly mathematically intensive and the more you know the better game you can make. A good book on game theory is also good to have around. Also if you're good at anagrams...
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Brian Densmore
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Brian Densmore