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 unexceptional GRE scores that still got me into UNL:

  • 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!