Courses

These are courses that I have taught in the past.

La Trobe University

• Scientific Computing (Junior year) — 2010–2013 — This course focused on numerical methods. Topics included numerical root finding, optimization, integration, and numerical differential equation solving.
• Linear Algebra (Freshman) — 2010 — Standard first year linear algebra course covering vectors, matrices, eigenvalues, and linear transformations.

California Institute of Technology

• Galois Theory and Representation Theory (Sophomore) — 2013–2016 — Field extensions, Galois groups, and representation theory.
• Combinatorial Analysis (Graduate) — 2015–2016 — Graph theory and other related combinatorial problems.
• Quantum Calculus and q-Special Functions (Graduate) — 2013 — The theory of discrete calculus and their associated discrete hypergeometric functions.

University of Maine, Orono

• Calculus 1 (Freshman) — 2017 — Standard course on differentiation, integration, and differential equations.
• Algebra (Graduate) — 2016 — Course on Linear Algebra with a focus on Lie Algebras.
• Differential Equations and Linear Algebra (Sophomore) — 2017 — A course on linear differential equations and abstract linear algebra.