Math Maths Journal 20 May 202214 Jun 2022 * The following is a glimpse into my maths journal. In it, you will find a collection of thoughts and ideas on topics in maths and physics. I should note…

Math Shallow-Water Equations 19 May 202214 Jun 2022 * Below are the handwritten notes I took for a project I did on the shallow-water equations. It is my intention(I'm working on a thesis at the moment, so no…

Math A Property of the Incidence Matrix of Directed Graphs 28 Jan 202114 Jun 2022 Let $latex \partial$ be the $latex m \times n$ incidence matrix of a directed graph $latex G$, with $latex m$ vertices and $latex n$ edges, where $latex \partial_{ij}=\begin{cases} -1, &…

Math LaTex Templates 17 Jan 202115 Feb 2021 Lecture NotesDownload Paper_1Download PresentationDownload Study GuideDownload ExamsDownload HomeworkDownload

Math Qual Prep 12 Nov 20208 May 2022 *Update: I ended up not taking the Quals and leaving the Ph.D. program because of the pandemic; and, because I realized that I no longer agree with nor enjoy most…

Math… Heat Equation 4 Apr 201914 Jun 2022 Background- The Motivation and Derivation of the Heat Equation: Heat, or the thermal energy of a system, is generally defined as the solution of The Heat Equation, $latex u_{t}=\kappa \Delta…

CS… Pursue and Evade: A Look at “Cat and Mouse” 10 Apr 201613 May 2022 (An undergrad project) The point of the attached PowerPoint was to act as a class project demonstrating how it might be possible to populate a game matrix with the appropriate…