Mathematical Problem Solving

> 1.1. Homework set #0: Diagnostic > This is a special problem set: Its main purpose is to give you an idea of what is to come in this course, and to give me an idea of your level of familiarity with certain things (including proof writing). Do not expect to solve all these problems

I love this, and I wish I had seen more regular calibration-type assessments in my own education.

> 1.2. Homework set #0B: Additional problems > The following problems are not solved in these notes; they shall be used for future homework sets.

Here's a set of problems that are representative of the prerequisite material, to give us both a sense of how well your foundations match what I'm assuming at the start of the course. And here's a second set of problems that represent the sort of things you can expect to be able to solve once you've completed this course.

What a beautiful way to start.