Teaching
University of Mississippi
Courses I have taught here:
- Unified Calculus and Analytic Geometry I to IV (Math 2611 to 2614)
- Foundations of Mathematics (Math 3050)
- Elementary Differential Equations (Math 3530)
- Introduction to Dynamics and Chaos (Math 4640)
- General Topology I (Math 5011)
- Linear Algebra (Math 5200)
- Introduction to Abstract Algebra I and II (Math 5251, 5252)
- Topics in Euclidean Geometry (Math 5330)
- Advanced Calculus I (Math 5551)
- Seminar in Dynamical Systems (Math 7600)
Lecture videos
Earlier teaching
Stanford University, 2007 to 2010
Introductory ODE with Linear Algebra (Math 53). I taught this class several times, and was responsible for setting the syllabus and the assessment. The last time, I had the students prepare end-of-term projects. This was a great success, since it let the students explore topics that combined differential equations with their own interests. A number of them found very interesting applications to economic and financial models, and taught me a lot in the process.
Calculus II (Math 42). Fall 2009. The class was mostly about methods of integration, with a short section on sequences and series. Most of the students were in their first term at Stanford. My most famous student was the football player Toby Gerhart, which earned me a mention (alas, not by name) in a New York Times article about Stanford football:
He took calculus because he wanted to learn from the professor, who has an excellent reputation.
Stanford Summer Engineering Academy. Summer 2009, co-taught with Eric Bahuaud. This program helps incoming students prepare for their first year of studies at Stanford.
I was also involved with the Stanford Math Circle in 2009, and supervised a summer undergraduate research student in 2007.
Université de Montréal, 2005 to 2007
Calcul différentiel et intégral. A second calculus class, focused on integration techniques, with a short section on sequences and series. Taught in French.
Variétés différentiables. An introduction to smooth manifolds at the master's level. We mostly followed Spivak, though I also spent some time on de Rham cohomology and had the students complete projects related to Morse theory.
New York University
Discrete Mathematics. I taught this undergraduate class for two semesters. The students were mostly third and fourth year computer science students, with a few mathematics majors. It was an introduction to combinatorics with a focus on counting problems and graph theory. For many of the students it was also a first exposure to non-trivial proofs.
As a PhD student, I was also a teaching assistant for business calculus, quantitative reasoning and the graduate ODE class.