I’m planning to start a new video series, or really, an informal online course, entitled Motivated Analysis. The goal is to bridge the gap between applications-oriented courses in analysis (mostly differential equations) and theoretical courses, and to show how modern theoretical analysis comes out of practical problems.
Here’s the introduction/advertisement/preview video:
The home page for the course is linked in the black bar just above this post.
And here’s a link to the first discovery handout—I’ll be working through this PDF in the first few videos of the course, but most of it should be doable by someone with the appropriate prerequisites.