Dr. Jake Herndon · Mathematics

Private tutoring in proof‑based mathematics.

One-on-one online sessions for undergraduate students, graduate students, self-learners, and advanced high-school students.

I want to help you build a stronger, more meaningful relationship with mathematics.

Contact me or write to tutor@herndonmathservices.com.
Portrait of Dr. Jake Herndon
Tutoring

Subjects and students

Welcome to my tutoring site. I offer one-on-one tutoring in proof-based mathematics. Continue reading to learn more about my services, or use the contact form below to reach out.

Subjects

Here are the subjects I tutor most often:

  • Logic and Proof Writing
  • Discrete Mathematics
  • Calculus
  • Real Analysis
  • Complex Analysis
  • Linear Algebra
  • Abstract Algebra
  • Number Theory
  • Topology

Students

I work with students at several stages:

  • Undergraduate students
  • Graduate students
  • Self-learners
  • Advanced high-school students
Wondering if this is a good fit? Send me a message and I’ll let you know if I can help.
Video still: Dr. Herndon on his teaching A short video introduction You can watch a video introduction to my tutoring services here. Watch on YouTube ↗
Library

A library to explore

I make worksheets, videos, and interactives for my students. A few of my favorite pieces are listed below. To see the full collection, please continue to the library.

  • InteractiveLogic & Foundations Functions on a 3-Element Set There are $27$ functions from a 3-element set to itself. Explore all of them at once by viewing them in a cube formation or by grouping them by type. Open ↗
  • InteractiveLinear Algebra Definition of a Vector Space An interactive map of Section 1B of Sheldon Axler’s Linear Algebra Done Right, covering the definition of a vector space. Axler’s numbered statements are arranged in an explorable diagram. Open ↗
  • VideoLogic & Foundations What Makes a Function Well-Defined? Students are told, “Make sure your functions are well-defined!” but what does that really mean? Watch ↗
Browse the library →
Contact

Get in touch

Please complete this form to contact me for tutoring. I will reply by email after I review your submission, usually within a day or two.

or you can email me at tutor@herndonmathservices.com.

About

About me

Hi! I’m Dr. Jake Herndon, a mathematician and tutor from Chicago, Illinois. I founded Herndon Math Services in 2020 and have been teaching online ever since.

I received my PhD from the University of Illinois at Chicago in 2019. My research interests include geometric group theory and descriptive set theory; my thesis was on the large-scale geometry of Polish groups. You can read a PDF copy here.

Outside of tutoring, I post the occasional math video on my YouTube channel, and I volunteer with the Prison Mathematics Project, which provides math mentorship for incarcerated learners.

I also take on consulting work. If your project would benefit from a trained mathematician, please email me at contact@herndonmathservices.com.

A work table with fabric, a notebook, and a pencil case
My glasses, my notebook, a clementine, and some clutter from my office