American Masters in Mathematics 2026

Some of you have probably noticed that I’m helping with organizing a new contest and are asking what exactly this is. So far, I haven’t said much about it because so much is up-in-the-air (and that’s still true). However, with the first few acceptances and registrations coming out, I’m going to post an FAQ and… Continue reading American Masters in Mathematics 2026

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