It may be a good thing that many non-mathematically inclined students were attracted - such an audience can slow down progressing to mathematically deeper topics and make lecturer spend time on the "physics vs. mathematics division" side of things.

I consider game theory and probability theory two topics that offer a lot of possibilities for point of view change; and in game theory the most important part not to miss is thinking about real utility functions...

Current sanity waterline is low enough that writing down the incentives can explain things that (somehow) are not yet considered universally obvious.