These are some derivations that I think are interesting, but are not included in the notes for my courses. They are by no means groundbreaking, and not all are original. Some are downright esoteric.

*Virtual Temperature Approximation*: Shows the rational behind a common approximation for virtual temperature using degrees Celsius and dimensional mixing ratio (g/kg).*Coriolis and Centrifugal Torques*: Explores the torques from apparent forces on an object viewed in a rotating reference frame.*Running in the Rain*: Discusses whether you will stay drier, or get wetter, by running versus walking to shelter when it is raining.*Mean Distance Between Drops*: A derivation from probability theory to show the mean distance between cloud drops, rain droplets, or other aerosols.*Monty Hall Problem*: A derivation from probability using Bayes’ Theorem to show an unintuitive result.*Vorticity and Absolute Angular**Momentum*: Shows how the barotropic vorticity equation can be derived directly from the conseration of absolute angular momentum.