Below is a selection of some projects and research papers I've done at different levels in my education. I'm currently in junior college, so all my papers will be of the junior college level.
These works are all released under the CC BY-SA 4.0 license. This means you are free to copy, modify, distribute, and sell these papers (both the resultant text and the LaTeX source document), so long as any derivative works or any copies are also released under the CC BY-SA 4.0 license (or a one-way compatible license) as well. License text can be found here.
Applied Project: Roller Derby (LaTeX source) for Calculus 3, which involved tying together the concepts of moments of inertia of different shapes with conservation of energy in order to determine what shape will roll to the bottom of a slope fastest in a race. The original questions for the project are not provided, but the paper is self-explanatory, assuming you're familiar with calculus. (Project was written in May 2022, and rewritten in LaTex in July 2022.)
Modeling the Dynamics of the Internet Platform Users' Volume (LaTeX source, BibTeX citations) for Differential Equations, which explains a particular model for the two groups of users on a two-party internet platform (such as Amazon or eBay) and how the two interact. The project this is based on can be found at SIMIODE here. (Written in April 2023.)