The Black-Scholes PDE
You can view the document here:
https://drive.google.com/file/d/1gn89aKY0-zeKYVwvgJB2OZU67fsT6Zij/view?usp=sharing
This paper begins with prerequisite information on stochastic calculus and financial terms to build toward deriving and solving the PDE. It also goes over some example solutions and has a bit on applications. This was a group project for a partial differential equations class, but the way the work was divided, I did most of the paper, which is why I am posting it here. I do want to credit the other three group members for inputs to the paper, and especially Isaac for doing the Examples and Applications sections.