Notes

These are some notes I have used in either my teaching or research. I plan to add to them when I have the time. I offer no guarantee that they are error-free!

Teaching

• A proof of Simpson’s rule
• The nonlinear pendulum
• A brief introduction to PDEs
• A brief introduction to Dimensional Analysis (note that these were a gapped set of notes but here I have filled in the gaps)

Research

• The Casimir effect using Euler-Maclaurin summation
• Construction of solutions to the linearised Einstein field equations