kyle’s compendium of math and physics

This page contains free educational materials that I’ve created. These consist mostly of PDF scans of my course notes from different college and graduate-level courses in physics, math, and astronomy.

Course Notes

Undergraduate

Physics

Newtonian Mechanics (Taken as “Physics 8” at UC Merced in 2013): Click to Download

Electricity and Magnetism (Taken as “Physics 9 Honors” at UC Merced in 2014): Click to Download

Modern Physics (Taken as “Physics 10” at UC Merced in 2014): Click to Download

Special Relativity (Taken as “Physics 126” at UC Merced in 2015): Click to Download

Vibrations and Waves (Taken as “Physics 122” at UC Merced in 2015): Click to Download

Quantum Mechanics (Taken as “Physics 137” at UC Merced in 2015): Click to Download

Classical Mechanics (“Taken as “Physics 105” at UC Merced in 2015): Click to Download

Applied Mathematics

Calculus II: Integral Calculus (Taken as “Math 22” at UC Merced in 2013): Click to Download

Calculus III: Vector Calculus (Taken as “Math 23” at UC Merced in 2014): Click to Download

Probability and Statistics (Taken as “Math 32” at UC Merced in 2015): Click to Download

Intermediate Ordinary Differential Equations (Taken as “Math 125” at UC Merced in 2016): Click to Download

Linear Analysis I/Linear Algebra (Taken as “Math 141” at UC Merced in 2016): Click to Download

Complex Variables & Applications (Taken as “Math 122” at UC Merced in 2016): Click to Download

Numerical Analysis (Taken as “Math 130” at UC Merced in 2016): Click to Download

Mathematical Modeling (Taken as “Math 150” at UC Merced in 2017): Click to Download

Partial Differential Equations (Taken as “Math 126” at UC Merced in 2017): Click to Download

Graduate School

Intro to Astrophysics (Taken as “Physics 240A” at UC Irvine in 2018): Click to Download

Thermodynamics + Statistical Mechanics (Taken as “Chemistry 232A/Physics 214A at UC Irvine, I transferred classes a few weeks into the quarter in 2018): Click to Download

Electrodynamics (Taken as “Physics 213A” at UC Irvine in 2018): Click to Download

Quantum Mechanics II: (Taken as “Physics 215B” at UC Irvine in 2018): Click to Download

Cosmology (Taken as “Physics 240B” at UC Irvine in 2018): Click to Download

Radiative Transfer in Astrophysics (Taken as “Physics 240C” at UC Irvine in 2019): Click to Download

Stellar Astrophysics (Taken as “Physics 241B” at UC Irvine in 2019): Click to Download

Extragalactic Astrophysics (Taken as “Physics 241C” at UC Irvine in 2018): Click to Download

General Relativity (Independently studied via MIT Opencourse Ware + Scott Hughes’s MIT 8.962 Lectures): Click to Download

Coming Soon…

More resources, especially in subjects that are not covered in my notes such as thermal physics and electrodynamics at the undergraduate level. Also looking to add notes on machine learning, deep learning, and generative AI as I continue with my self-study.