Notes in LaTeX

• Majorana Zero Modes in Topological Superconductors

• Surface Energy of Normal-Superconducting Interfaces

• Sprintronics related (this is a long one, under construction ...)

• The Application of Floquet Theory in Quantum Optics

• Rydberg Blockade and the Rydberg CNOT Gate in Quantum Computing

• The Cosmological Einstein Equation and the ΛCDM Model

• The Markov Chain Monte Carlo Method and its Application in Astrophysics

• 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)