Can I Switch to Computer Science Grad School with a Math Background?

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I'm about to get an undergraduate degree in math, and I'm having second thoughts about pursuing a career as a research mathematician. I may want to switch to comp sci, but I don't want to start my undergrad over. Is it possible to get into grad school in comp sci with a background in math, but almost none in comp sci (except a few java classes and a logic and computability class)?
 
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Yes. You may want to take an algorithms and data structures course before you graduate, but as it is you probably have sufficient background for most areas of theoretical computer science (theory of computation, artificial intelligence, etc.).