Teaching
I enjoy making abstract mathematics concrete through calculation, diagrams, careful pacing, and discussion.
Teaching experience in the first course of the single-variable calculus sequence, including limits, derivatives, linear approximation, and applications of differentiation.
Teaching experience in the second course of the single-variable calculus sequence, including definite and indefinite integrals, the Fundamental Theorem of Calculus, techniques of integration, and applications.
Teaching experience with matrices, systems of linear equations, linear transformations, determinants, eigenvalues, and the algebraic structure underlying finite-dimensional linear systems.
Notes and handouts will appear here as individual cards.
A long-running archive of short lectures and informal mathematical exploration.
I have published around 3,000 videos organized into more than 50 albums, covering course material, mathematical ideas, and research-oriented study. The channel has more than 30,000 followers.
I want students to see the mathematical object before they become buried in notation. Pictures, explicit computations, and carefully chosen examples can reveal the structure behind a definition without sacrificing rigor.
My goal is to help students move between three views of a problem: geometric intuition, symbolic calculation, and proof.