The introductory classes use algebra and a little bit of statistics. Some of the more advanced classes — like Futures & Options — will use a little bit of calculus, but not much. To do portfolio theory right, you would need some matrix algebra (linear algebra), statistics and would need to know some optimization theory.

For an MS in finance, you would need calculus, linear algebra and statistics. For a PhD in Finance, you need almost as much math as someone getting a PhD in Math.