Teaching
Teaching things I've done
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NYU Advanced Calculus Workshop (Summer 2024)
Notes found here (Update 8/18/2024: Some fixes and some more explanation for Example 3.4): Notes
Handwritten notes: Click here
A video recording was taken for all days but I can't provide it. Probably need to ask Gehan for them.
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