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Physical Sciences and Mathematics Commons

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Full-Text Articles in Physical Sciences and Mathematics

Estimating And Visualizing Debt Using Debt Calculator, Donald E. Landrum Jr., Caleb D.H. Parks Apr 2019

Estimating And Visualizing Debt Using Debt Calculator, Donald E. Landrum Jr., Caleb D.H. Parks

Senior Theses

Debt Calculator is a web application that our team developed this year to assist users in understanding and visualizing both their current debt sources, such as student loans, car loans, and credit card debt, and the impact that upcoming career choices, such as where they attend graduate school or which job offer they accept, will have on their standards of living and savings accounts. All of the data that our application bases its analysis upon is entered by the user, and none of the algorithms that our application performs are particularly unique or proprietary; rather, the value that our application …


Guided Alligator Tours Or Raccoon Schooling (Gators), Paul List Apr 2019

Guided Alligator Tours Or Raccoon Schooling (Gators), Paul List

Senior Theses

In my two main internships during college, I worked closely with two very different animals: raccoons and alligators. Additionally, I gained experience in presenting educational programs during my internship at Fripp Island, where my most common program was our Gator Walk. For my thesis project, I built upon my experience in interpretive programming, drawing on my experience with alligators and raccoons to develop a unique educational program to present at Congaree National Park. This report will describe the process of developing this program as well as it’s implementation and outcomes. In addition, it includes a review of scholarly literature on …


Congruence Relations Mod 2 For (2 X 4^T + 1)-Colored Partitions, Nicholas Torello Apr 2019

Congruence Relations Mod 2 For (2 X 4^T + 1)-Colored Partitions, Nicholas Torello

Senior Theses

Let p_r(n) denote the difference between the number of r-colored partitions of n into an even number of distinct parts and into an odd number of distinct parts. Inspired by proofs involving modular forms of the Hirschhorn-Sellers Conjecture, we prove a similar congruence for p_r(n). Using the Jacobi Triple Product identity, we discover a much stricter congruence for p_3(n).