As a graduate student I had a number of great opportunities to teach and mentor students. Below are the list of courses I’ve taught and TAed, as well as the Direct Reading Programs I was lucky enough to mentor!
Courses Taught at Wesleyan University
Graduate Pedagogy, Fall 2020
- The course is aimed at first year Math Ph.D. students to introduce different pedagogic approaches and techniques. We also discuss the ethics of being mathematicians and instructors.
- Elements of Calculus, Part I, Fall 2019
- Elements of Calculus, Part I, Fall 2018
- Introductory Calculus I, Fall 2017
- Introductory Calculus II, Spring 2017
Graduate Student Teaching Assistant Duties
Real Analysis, Spring 2021
- Held office hours and graded homework solutions.
Complex Analysis, Fall 2020
- Held office hours and graded homeworks.
Multivariable Calculus, Spring 2020
- Primarily held extra office hours. Also ran lectures on-and-off as needed throughout the semester.
Math Workshop, Spring 2019
- Helped students understand lecture notes and homework assignments for varying math classes including: Abstract Algebra, Real Analysis, Foundations of Mathematics, Statistics, and Applied Topology.
Real Analysis, Spring 2018
- Held office hours and wrote homework solutions.
Discrete Structures, Fall 2016
- Held office hours as well as graded homeworks and proofs.
Math Workshop, Spring 2016
- Helped students understand lecture notes and homework assignments for varying math classes including: Abstract Algebra, Linear Algebra, Multivariable Calculus, and Probability.
- Introduction to Programming, Fall 2015
Mentoring (Directed Reading Program)
In the Fall of 2018 Lisa Kaylor, Noelle Sawyer, and myself with Felipe Ramírez as our faculty mentor began the Directed Reading Program (DRP) at Wesleyan University. There will be a post explaining what DRP is and how it started. For the time being, Noelle has a really nice explanation of the program and her first semester as a mentor here. Also, the Wesleyan Chapter’s DRP website can be found here.
Below is a list of the readings I have mentored:
- An Introduction to Ergodic Theory, Spring 2019
- Continued Fractions and Approximability, Fall 2018
Some Useful Links
If you’re interested in learning math on your own, like mind maps, but don’t know where to start, I highly recommend giving Learn Anything a look. It is a fully open source search engine, so you can also contribute back to the project. It also has mindmaps for a number of other subjects.
If instead you prefer perusing notes that work you through examples give Paul’s Online Math Notes a look!