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Since I am preparing to teach intro real analysis this fall, it is a good time for me to get reacquainted with Riemann integration and …
Last updated on 8 min read expository

This short post aims at proving a general version of the Moore-Osgood Theorem on interchanging of limits. Theorem   …
Last updated on 2 min read expository

Summary of the Jacobi iteration method in numerical linear algebra, and some caveats.
Last updated on 6 min read mathematical diversions

How to compute the volume of a simplex using the Cayley-Menger determinant, and a higher dimensional Pythagorean theorem
Last updated on 11 min read expository

Since the COVID-19 crisis and the university moving to online instruction, I've spent too much time programming WeBWorK assignments. …
Last updated on 2 min read mathematical diversions

L. Craig Evans is a professor at UC Berkeley. For many students he is best known for his textbook on partial differential equations. I …
Last updated on 10 min read notes from talks

Let's start with something simple: Given a circle with radius $R$, draw a concentric circle with radius 1 larger. How much longer is …
Last updated on 3 min read mathematical diversions

When does a polynomial with real coefficients have only real roots? Here's one way to determine it.
Last updated on 4 min read expository

Driving down the highway in upstate Michigan yesterday, I saw a State Police billboard that states (I paraphrase) Drivers who text are …
Last updated on 7 min read expository

Here's a slightly non-obvious relation between some angles, that I ran into accidentally. Claim: (angles below given in degrees) \[ …
Last updated on 1 min read mathematical diversions