Teaching
Teaching things I've done
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In addition to teaching AMC/AIME classes and tutoring for AMC/AIME, I've also done some TA'ing.

21-269 Vector Analysis TA (Spring 2022)
Arguably the most brutal math course that a freshman at CMU can take. It is essentially a fast-paced introduction to real analysis in $\mathbb{R}^N$. The course contents included defining the reals, supremums/infimums, topologies and metric spaces, limits, continuity, Frechet differentiability, Taylor's Theorem, L'Hopital, Lagrange multipliers, Implicit and Inverse function theorems, and a brief overview of the Lebesgue measure and Lebesgue integral.

My recitation notes (Warning: It's like 100+ pages)

21-235 Math Studies Analysis I TA (Fall 2022)
Cartheodory's Extension Theorem, Lebesgue integration, Fubini and Tonelli, Absolute Continuity and the FTC, Hausdorff measure, manifolds, surface integrals, mollification, partitions of unity, Divergence Theorem. Vector fields.

My recitation notes

21-236 Math Studies Analysis II TA (Spring 2023)
Curves. Connectedness. Fixed point theorems. Jordan Curve Theorem. Completeness, Lp spaces, Ascoli-Arzela, Stone-Weierstrass. Sobolev spaces: Soblev Embedding Theorems, Rellich-Kondrachov.

My recitation notes