Academics
Deconstructing the complicated world of physics into its most interesting and powerful parts.
One of my favorite things to do with physics is to take what I’ve learned from my courses and create a concise summary of what I found to be the most important ingredients. I primarily use Notion to write and share my notes due to the KaTeX support and easy link-sharing functionality. As I complete my PhD, my goal is to populate this page with these concise summaries of what I’ve learned in my courses past and present. In no way are these notes perfect, but I hope that they can provide a sensible perspective on core ideas in physics. If you find any glaring issues please feel free to email me at nandrosk@umich.edu. I also plan on making shorter posts on the blog for particularly interesting math and physics concepts.
Fluid Dynamics
The Equations of Motion for a Perfect Fluid
Scale Analysis and Dimensionless Numbers
The Basics of Dry Geophysical Fluid Dynamics
Mathematical Methods of Physics
These notes primarily focus on the similarities that can be drawn between the mathematics of vectors (linear algebra) with functions that lead to the ideas of functional analysis. The idea that functions are vectors has powerful implications in the study of differential equations.
Calculus, Linear Algebra, and Differential Equation Theory
Classical Mechanics
Newtonian and Lagrangian Mechanics
Quantum Mechanics and Particle Physics
Non-relativistic Quantum Mechanics