The Encyclopedia Project

This is a collection of lecture notes of math courses I have taken in undergrad at UCSD, typeset from my handwritten notes with additional discussions or examples from me which helped my understanding. When I was taking these courses, resources like Keith Conrad's were crucial for my learning, and in some sense this project is an attempt to pay it forward, if not be a blantant copy. I have written the proofs in a way that helps me best understand the entire reasoning, and in particular I try to avoid phrases like "clear" and "it is obvious" unless I truly feel that fully spelling out the details is a distraction from the proof's main argument. Please email me if you find any mistakes or have requests for different topics to be covered here; I fully intend to keep producing these notes for my future independent studies. Also, the order of topics loosely follows how I took them in undergrad, but beyond that there is no information to extrapolate from how the courses are organized (e.g. difficulty, personal preference, rigor, etc.).