Past Courses

• Back to Brian Hill Home

At Deep Springs College

Astronomy

• A Survey of Modern Astronomy
• Methods and Results of Ancient Astronomy
• Observational Astronomy
• Supernova Observation (Spring Semester 2024 Directed Study with Hexi Jin and Ethan Liao)
• Transient Astronomy (Spring Semester 2023 Directed Study with Sofia Mikulasek and Luke Suess)

Mathematics

• Bayesian Statistics
• Differential Equations (May-June 2022 Independent Study with Aubryn Kaine and Tashroom Ashan)
• Heavenly Mathematics (co-taught with Ryan Derby-Talbot)
• Mathematical Analysis
• Numerical Analysis on a Pocket Calculator

Physics

• From Galileo to Newton: The Emergence of Modern Physical Science
• History and Science of the Manhattan Project
• Quantum Mechanics and Nuclear Physics
• Oscillations and Waves
• Relativity and Black Holes

Technology

• Cryptography: Algorithms and History
• Modeling, Simulation, and Rendering in Processing
• Scientific Data Analysis, Data Science, and Machine Learning in Python (May-June 2025 Independent Study with Hexi Jin)
  • See also my Deep Learning write-up for the mathematics of backpropagation
  • Study of transformers could continue from where we left off using Build a Large Language Model (from Scratch) by Sebastian Raschka.
• Technological MacGyvering with the Arduino Microprocessor

At Saint Mary’s College of California

I no longer attempt to maintain content dating back to my time at the Saint Mary’s Physics Department, so the formatting and links within the snapshotted content below may be quite lacking.

Physics

• Introduction to Physics I
• Introduction to Physics II
• Modern Physics
• Quantum Mechanics

Astronomy

• Introduction to Astronomy
• Astronomy Laboratory
• Astrophysics
• Observational Astronomy

Computer Science

• Cloud Software Development
• Loops and Orbits: Programming for Aspiring Rocketeers
• Mobile Software Development