Prof. Edward Aboufadel's Applied Mathematics Projects
This page provides an overview of applied mathematics projects, many that I have done with students, during my career. A significant portion of this work has been done at the Mathematics REU at Grand Valley State University. Starting in 2014, my projects are part of the Center for Applied Mathematics Projects (CAMP) at GVSU. Current areas of focus for CAMP are 3D printing, data analytics and visualization, wavelets, and applied mathematics competitions. Watch this page for updates.
I enjoy working on interesting applications of mathematics to various areas of science, medicine, and engineering. Many of the projects I have pursued utilize wavelets. As I learned about wavelets in the 1990's, I came across how the FBI uses wavelets, and an application of wavelets to denoising musical recordings. Since 2000, I have been working with students on other applications of wavelets. Wavelet-based filters are applied for basically two reasons: information rearrangement and information reduction. In some of these projects (particularly years 2000-2011), the use of wavelets is a key step in the method.
This is a list of the projects and the people involved, along with links to publications or videos, when available:
Excellence in Academic Leadership
2024: You Can Be a STAR. (Discussion of behavioral interviews, and pitfalls for the mathematically-inclined.)
2023: What College Administrators Can Learn From Political Campaigns.
2020: The "DEAL" Seminar: Developing Excellence in Academic Leadership.
Applied Mathematics
2022-25: A Mathematician Wanders Into a Sportsbook (article, video). I have been giving talks about online sports betting, with a touch of calculus.
2020: Review of the book Wavelets Theory and Its Applications, for MAA Reviews.