The Rose-Hulman Undergraduate Mathematics Journal is devoted entirely to papers written by undergraduates on topics related to the mathematical sciences. Although the authors need not be undergraduates at the time of submission or publication, the work must have been completed before graduation. The journal will be distributed freely in an electronic format from this site. In order to maintain a high level of exposition, each paper must be sponsored by a mathematician familiar with the student's work and each paper will be refereed. The editor-in-chief will make the final decision for publication.

The RHIT Undergraduate Math Journal is sponsored by the Mathematics Department at Rose-Hulman Institute of Technology.

# Current Issue: Volume 18, Issue 1, Spring 2017

## Articles

Computing the Autocorrelation Function for the Autoregressive Process

Omar Talib and Souleimane Cheikh Sidi Mohamed

The Calculus of Proportional alpha-Derivatives

Laura A. LeGare and Grace K. Bryan

Complex Symmetry of Truncated Composition Operators

Ruth Jansen and Rebecca K. Rousseau

Bounds on the Number of Irreducible Semigroups of Fixed Frobenius Number

Clarisse Bonnand, Reid Booth, Carina Kaainoa, and Ethan Rooke

Giuga's Primality Conjecture for Number Fields

Jamaris Burns, Katherine Casey, Duncan Gichimu, and Kerrek Stinson

Classification of Four-Component Rotationally Symmetric Rose Links

Julia Creager and Nirja Patel

The Log Convex Density Conjecture in Hyperbolic Space

Leonardo Di Giosia, Jahangir Habib, Lea Kenigsberg, Dylanger Pittman, and Weitao Zhu

The Unimodular Determinant Spectrum Problem

Wilson Lough

Generalization of Pascal's Rule and Leibniz's Rule for Differentiation

Rajeshwari Majumdar

Scott Sentences in Uncountable Structures

Brian Tyrrell

On the Long-Repetition-Free 2-Colorability of Trees

Joseph Antonides, Claire Kiers, and Nicole Yamzon

An Appreciation of Euler's Formula

Caleb Larson

The Secret Santa Problem Continues

Daniel Crane and Tanner Dye

Analysis of Don't Break the Ice

Amy Hung and Austin Uden