A good mathematician is one who can see the connections between different branches of mathematics so well that they fail to see a difference at all. This topic covers analytic geometry mainly in context of algebra. However, algebra is not the only place you have seen analytic geometry applied to another branch of mathematics. In fact, since you are in this class, you have already used analytic geometry in classes that precede this one. So, where have you seen analytic geometry before? In particular, how have you used Riemann sums, Darboux sums, and polar coordinates in the past to help you?