Just solve the math questions they give you. Go along with pretending the professor is a student and coach them to solve the problem. Walk 'em through it step-by-step. Explain everything you're thinking. Draw things on the white board. Pretend you're explaining math to your grandma and assume the professor knows absolutely nothing. Start from the basics and explain everything. Programming interview: I'd say make sure you know the school's curriculum for the classes, and understand the finer details of what you learned. That should prepare you for any question, be kind and answer clearly.