Note: The *Electronic Proceedings of Undergraduate Mathematics Day* are now available in the Digital Commons journal platform.

Undergraduate Mathematics Day at the University of Dayton (UMD) is held in November of odd-numbered years. It celebrates undergraduate mathematics in all its forms: research, history, teaching, and learning. One purpose of UMD is to provide a platform for undergraduate students to experience the excitement of investigation in the world of mathematics. The conference allows an opportunity for students to present results; the electronic proceedings gives the student experience to formally write a research or expository article. The articles are refereed for correctness and style.

The conference coincides with the annual Schraut Memorial Lecture, named Kenneth “Doc” Schraut, a mathematics faculty member from 1940 to 1978 and department chair from 1954 to 1970.

In addition to the conference papers, this series also contains posters, programs and other materials from the event.

#### Submissions from 2022

Efficient Conformal Binary Classification under Nearest Neighbor, Maxwell Lovig

Finding an Effective Shape Parameter Strategy to Obtain the Optimal Shape Parameter of the Oscillatory Radial Basis Function Collocation in 3D, Quinnlan Aiken, Annika Murray, and Ar Lamichhane

Fixed Points of Functions below the Line y = x, Grace Fryling and Harrison Rouse

Using Circle Packings to Approximate Harmonic Measure Distribution Functions, Ella Wilson

#### Submissions from 2021

Program: 2021 Undergraduate Mathematics Day, University of Dayton. Department of Mathematics

#### Submissions from 2020

Analysis of Weights in Central Difference Formulas for Approximation of the First Derivative, Preston R. Boorsma

Climbing the Branches of the Graceful Tree Conjecture, Rachelle Bouchat and Patrick Cone

Derivation of the (Closed-Form) Particular Solution of the Poisson’s Equation in 3D Using Oscillatory Radial Basis Function, Anup R. Lamichhane and Steven Manns

Poster: 2019 Undergraduate Mathematics Day, University of Dayton. Department of Mathematics

Program: 2019 Undergraduate Mathematics Day, University of Dayton. Department of Mathematics

#### Submissions from 2018

Alcoholism: A Mathematical Model with Media Awareness Campaigns, Erik H. Ander and Zeynep Teymuroglu

Baseball: Defense or No?, Jacob D. Stemmerich

Finite Sum Representations of Elements in R and R2, Lewis T. Dominguez and Rachelle R. Bouchat

Generalized Catalan Numbers And Objects: X; Y Equivalence Classes And Polyominoes, Emily S. Dautenhahn and Hannah E. Pieper

How One’s Risk Preferences Affect Their Investment Decisions, Kari Hayes and Anna Petrick

Magic Polygons and Their Properties, Victoria Jakicic and Rachelle Bouchat

Mathematics with Only Rods, Jianqiao Mao and Zheng Yang

#### Submissions from 2010

2010 Vol. 4 Table of Contents, University of Dayton. Department of Mathematics

Distance Functions and Attribute Weighting in a K-Nearest Neighbors Classifier, Alyssa C. Frazee, Matthew A. Hathcock, and Samantha C. Bates Prins

Just Sit Back and Let the Girth Model Make Money for You, Ellham Negahdary

On the Construction of Order Six Multilevel Hadamard Matrices, Keli Parker

The Marshall Differential Analyzer: a Visual Interpretation of Mathematics, Bonita A. Lawrence, Richard P. Merritt, and Devon A. Tivener

Uniqueness of Solutions Implies Existence and Uniqueness of Solutions of Boundary Value Problems for Third Order Differential Equations, Veronica Respress

#### Submissions from 2008

2008 Vol. 3 Table of Contents, University of Dayton. Department of Mathematics

An Application of Analytic Geometry to Designing Machine Parts--and Dresses, Karl Hess

A New Spin on Baseball, Allison Horney, Taylor Lowry, Eric Schwenker, and Evan Wray

Breaking the Curve, Amanda Dahlman, Jesse DePinto, Kyle Kremer, and Joe Plattenburg

Determining the Statistical Significance of Observed Frequencies of Short DNA Motifs in a Genome, Philip E. Pfeiffer, Peter W. Hovey, and Sudhindra R. Gadagkar

Pricing the Asian Call Option, Vinh Xuan Dang, Scott Glasgow, Harrison Potter, and Stephen Taylor

Rearrangement on Conditionally Convergent Integrals in Analogy to Series, Edward J. Timko

#### Submissions from 2006

2006 Vol. 2 Table of Contents, University of Dayton. Department of Mathematics

Adventures with Rubik's UFO, Bill Higgins

An Investigation of Continued Fractions, Kristi Patton, Sandra Schroeder, and Richard Daquila

Bisections and Reflections: A Geometric Investigation, Carrie Carden and Jessie Penley

Brownian Motion and Its Applications In The Stock Market, Angeliki Ermogenous

Mathematical and Numerical Modeling of Inflammation, Joshua Sullivan and Ivan Yotov

Methods of Solution of Second Order Linear Equations on Time Scales, Ashley Askew

Shuffle Up and Deal: Should We Have Jokers Wild?, Kristen Lampe

#### Submissions from 2004

2004 Vol. 1 Table of Contents, University of Dayton. Department of Mathematics

Curvature and the Shape of the Universe, Chikako Mese

How Not to Get Lost While on a Random Walk, Robert Lewand

Newton-Raphson Versus Fisher Scoring Algorithms in Calculating Maximum Likelihood Estimates, Andrew Schworer and Peter Hovey

Newton’s Unfinished Business: Uncovering the Hidden Powers of Eleven in Pascal’s Triangle, Robert Arnold, Tom Attenweiler, Christopher Brockman, Bethany Lesko, Christine Martinek, Colleen McCormick, Jessica McQuiston, Jessica Parker, and Amy Rohmiller

Pebbling on Directed Graphs, Gayatri Gunda and Aparna Higgins

Ramanujan Graphs in the Construction of LDPC Codes, Walter H. Chen

Some Interesting Multiples of Nine: Use Your Digits to Get the Digits!, Kevin Hurley