xkcd

Nah, since we've been doing proper analysis, we already derived everything from a topological standpoint. So, we'll just open the chapter on measures and measurable functions, quickly extend them to a proper probabilistic framework, use a few standard inequalities to prove the CLT, and show that using the average flow in the PDE that we previously used can cause at most a delta error with a p<e.

Next time make sure to design a chaotic defense system that is actually unsolvable. Adding simple uncertainty as a defense only encourages students to actually use their analysis skills.

P.S. yes, kids, if you've been properly taught analysis, the rest of the math, and consequently all other sciences can be derived as an exercise. And literally all you need is to fully understand "Introduction to Real Analysis" by C. Heil. (it's an intro text really as the name suggests)