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.
The Method of Infinitesimal Analysis is an accompanying expository writing connected with this course.
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.
Two Trigonometric Integrals is an accompanying expository writing connected with this course.
Teaching experience with matrices, systems of linear equations, linear transformations, determinants, eigenvalues, and the algebraic structure underlying finite-dimensional linear systems.
A long-running archive of short lectures and informal mathematical exploration.
I have published more than 2,000 videos organized into over 20 albums, covering course material, mathematical ideas, and research-oriented study. The channel has reached more than 25,000 followers and one million views.
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.