shoesareme

This is the personal website of Jason Zhang.

Math Lectures

The following is a collection of lectures that I’ve written concerning math-related topics.

Nonstandard Analysis (7/6/2026)

This was the culmination of a months long course at Euler Circle where one indepedently wrote an expository paper and presentation (with some general guidance provided) on some advanced mathematics topic. The following is meant as an introduction to the foundations of the transfer principle in nonstandard analysis.

Video Talk

Slides

Paper

References

In the materials.

Infinitary Combinatorics (8/7/2025)

The materials found here were for a guest lecture at a TJVMT SARML session. As such, the materials found within this lecture feature HEAVY oversimplification to make it more understandable for a high school student. Therefore, it is not intended as a reliable source for serious study.

Slides

PDF (Short)

PDF (Long)

References

In the materials.

Shorts and Lecture Notes

These comprise very short one-off lectures that were written purely for fun. Alternatively, there are also notes that I’ve written for studying and classes.

Multivariable Calculus Chapter 16 Notes (11/14/2025)

This was a unit of multivariable calculus concerning double and triple integrals.

PDF

References

From class.

Multivariable Calculus Chain Rule (9/25/2025)

I wrote this to help my friends (and myself) study for a test.

PDF

References

From class.

Free Monoids (9/9/2025)

This was written to help a friend.

PDF

References