Thoughts on teaching multivariable calculus

In my last semester of MIT I led a recitation (i.e. twice-a-week review) session1 for multivariable calculus (18.02) at MIT (although the first few weeks are all linear algebra). It’s different from many contexts I’ve taught in before; the emphasis of the class is on doing standard procedures, but the challenge is that there is… Continue reading Thoughts on teaching multivariable calculus

2011 N1 = 2024 A2

I am always harping on my students to write solutions well rather than aiming for just mathematically correct, and now I have a pair of problems to illustrate why. Shortlist 2011 N1 Here is Shortlist 2011 N1, proposed by Suhaimi Ramly: For any integer $latex {d > 0}&fg=000000$, let $latex {f(d)}&fg=000000$ be the smallest positive… Continue reading 2011 N1 = 2024 A2

A stupid “real-life” application of quadratic reciprocity

The application During this year’s MOP, we used the following procedure to divide some of our students into two classes: Let $latex {p = 7075374838595186541578161}&fg=000000$ be prime. Take the letters in your name as it appears on the roster, convert them with A1Z26 and take the sum of cubes to get a number $latex {s}&fg=000000$.… Continue reading A stupid “real-life” application of quadratic reciprocity

Teammate Hunt 2025 Author Notes

Thanks to Olga and Holly for factchecking a draft of this post. Remaining errors are my responsibility of course. The recent 2025 Teammate Hunt just finished, which went really well. See the link to the wrapup. I was a minor supporting character in the organizing team, mostly just taking care of writing a few puzzles… Continue reading Teammate Hunt 2025 Author Notes