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.

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Submissions from 2020

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

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

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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

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

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

Submissions from 2018

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

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Baseball: Defense or No?, Jacob D. Stemmerich

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

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

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

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Magic Polygons and Their Properties, Victoria Jakicic and Rachelle Bouchat

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Mathematics with Only Rods, Jianqiao Mao and Zheng Yang

Submissions from 2010

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

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

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

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

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

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

Submissions from 2008

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

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

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

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

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

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

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

Submissions from 2006

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

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Adventures with Rubik's UFO, Bill Higgins

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

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

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

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

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

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

Submissions from 2004

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

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Curvature and the Shape of the Universe, Chikako Mese

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

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

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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

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Pebbling on Directed Graphs, Gayatri Gunda and Aparna Higgins

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

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