Get enough sleep.
Here are some of my project papers when I did classes/research at UCLA/UMich ...
*** LET ME KNOW IF YOU FIND ANY TOPOs ***
Last update: 4/15/2026
Sprintronics related (this is a long one, under construction ...)
All of my class notes can be found in my GitHub repo github.com/jmiu19. They are the notes that I used when I did my undergraduate study at the University of Michigan ...
*** These are just notes, and they have tons of typos ... ***
Last update: 4/10/2026
The most updated versions are on GitHub. Please email me if you find any typos or have any questions. Feel free to make use of them for studying in your classes but please do not upload them anywhere else. Stay Low !!!
You can find the .pdf file (usually called Math556ClassNotes.pdf or similar) in the repository, which is the final compiled version of the class note. You can also fork the entire repository and compile the .tex file (usually called Math556ClassNotes.tex or similar) using TexMaker (along with MiKTeX) on your own device. Feel free to email me if you would like to contribute and revise the notes.
Physics 351 - Mathematical Methods in Physics (incomplete)
Physics 360 - Special Relativity / Intro Thermodynamics / Waves
Physics 390 - Intro to Modern Physics (intro to QM, standard model, particle physics)
Physics 401 - Intermediate Mechanics
Physics 402 - Optics (based on Pedrotti's book Intro to Optics)
Physics 405 - Intermediate E&M (based on Griffiths' book Intro to EM)
Physics 406 - Statistical Mechanics
Physics 453 - Quantum Mechanics (based on Griffiths' book Intro to QM)
Physics 505 - Classical Field Theory (based on Prof. Kai Sun's notes)
Physics 513 - Quantum Field Theory
Physics 535 - General Relativity (based on d'Inverno's book Introducing Einstein's Relativity, and some based on my independent reading on Wald's General Relativity)
Math 395/396 - Honors Math (based on Munkres' book Analysis on Manifolds)
Rigorous analysis on multivariable calculus, change of variable, implicit function theorem, analysis on manifold, generalized Stokes' Theorem, intro to complex analysis. GOOD STUFF, MY FAV
Math 525 - Probability Theory
Math 556 - Applied Functional Analysis
Math 590 - Topology (based on Munkres' book Topology)
Math 635 - Differentiable Geometry (based on do Carmo's Riemannian Geometry, and Jost's Riemannian geometry and geometric analysis, incomplete)
Math 654 - Intro to Fluid Dynamics (based on Acheson's Elementary Fluid Dynamics)