Potionology is more or less the overarching subject in potionmaking, like learning what ingredients can be used, and how to properly use them so you don't set the whole building on fire. Alchemy in my world is a branch off of that tree that specializes in transmuting something to another, usually based on science. Like turning lead and wood into a pencil, or a simple stone into gold, for instance.

[ Alchemy is one of his favorite subjects, actually- you picked the best person to talk about it, Felix. ]

And yes- there's a sport we have called Spelldrive. It's one of the only times where people can fling spells at each other with reckless abandon while trying to get a disc through a goal.