This page is dedicated to sharing things that I have collected over the years that may be useful to students and peers. If these links do not work, please let me know via email.

Notes from Classes I Took

This Google Drive folder contains all notes I have from my undergraduate courses at UCLA. It contains the following courses:

  • Computer Science 33: Computer Organization
  • Computer Science 161: Fundamentals of Artificial Intelligence
  • Computer Science 181: Formal Languages and Automata Theory
  • Math 131A: Real Analysis
  • Math 134: Linear and Nonlinear Systems of Differential Equations
  • Math 135: Ordinary Differential Equations
  • Math 136: Partial Differential Equations
  • Math 151A: Applied Numerical Methods I
  • Math 151B: Applied Numerical Methods II
  • Math 156: Machine Learning
  • Math 164: Optimization
  • Math 170: Probability Theory
  • Math 180: Algorithms
  • Physics 1C: Electrodynamics, Optics, and Special Relativity

This Google Drive folder contains all notes (qualifying exam notes, exam answers, etc.) I have from my graduate courses at UNL. It contains the following courses:

  • Math 817-818: Modern Algebra I and II
  • Math 825-826: Analysis I and II
  • Math 830-831: Differential Equations I and II
  • Math 833: Nonlinear Optimization
  • Math 853: Geometry and Probability in High Dimensions (Applications to Data Science)
  • Math 921-922: Measure Theory I and II
  • Math 928: Functional Analysis
  • Math 934: Fluid Dynamics (Topics in Differential Equations)
  • Math 941: Partial Differential Equations

Math PhD Application Materials

I am choosing to courageously share these files so prospective graduate students, especially other first generation students like me, can have an example for materials. I do not want you to think these are exceptional examples. In retrospect, I actually think my application was juvenile. It was very clear that I did not know what graduate school actually was nor what I really wanted out of the programs I applied to. If anything, these are non-examples and you should interpret these as "baseline" what you should write.

You might also hopefully find comfort knowing my GRE scores. This is meant to show you that it is not the end of the world or your graduate career if you are not in the 99th percentile.

  • Verbal Reasoning 154 (64th percentile)
  • Quantitative Reasoning 163 (82nd percentile)
  • Analytical Writing 4.0 (57th percentile)
  • Matematics Subject Test 660 (51st percentile)

Videos

1. A playlist of vlogs chronologing my personal journey in applying to graduate school: Graduate School Application series.

2. A playlist of vlogs chronologing my personal journey through my PhD: Graduate School Diary series.

3. Naming the reasons why I was staying in my PhD



Video ideas for the future: How I write mathematics education research papers / How I wrote my job application materials / Tips for sticking it out during your PhD / more!