If you plan on doing a 4 year degree in computer science, yes you will most likely need to do a bit of math in order to graduate (prob. calculus 1, 2 and 3, linear algebra, and maybe more depending on your school)
However, the response to your question depends entirely on what you want to do. There are some specific fields that require math, for example: physics engines, image processing, compression, anything with statistics, crypography, etc.
Generally though, you don't need to know complicated math to be a programmer and get a job. If you plan on making a game by yourself the scope of the game won't be big enough that you will need to do any complicated math unless it's somehow involved conceptually.