Works

Skip to main content

Part of the Mathematics Commons

2022

For the Women Who Wear Pi Day Shirts, Jacqui Weaver
Honors College

Design, Construction, and Investigation of a Small Polarimeter, Kelvy Zucca
Honors College

The Category of Modules Over a Leavitt Path Algebra, Davis MacDonald
Electronic Theses and Dissertations

2020

A Mathematical Model of the Opioid Epidemic in the State of Maine, Cole Butler
Honors College

Gray Codes in Music Theory, Isaac L. Vaccaro
Electronic Theses and Dissertations

An Evolutionary Approach to Crowdsourcing Mathematics Education, Spencer Ward
Honors College

Calculating Infinite Series Using Parseval's Identity, James R. Poulin
Electronic Theses and Dissertations

2019

Three-dimensional Analytical Model of Tidal Flow in the Damariscotta River Estuary, ME, Stephanie L. Ayres
Electronic Theses and Dissertations

Theory of Lexicographic Differentiation in the Banach Space Setting, Jaeho Choi
Electronic Theses and Dissertations

A Qualitative Representation of Spatial Scenes in R2 with Regions and Lines, Joshua Lewis
Electronic Theses and Dissertations

Investigation of Student Understanding of Implicit Differentiation, Connor Chu
Electronic Theses and Dissertations

Predictive Diagnostic Analysis of Mammographic Breast Tissue Microenvironment, Dexter G. Canning
Honors College

Understanding Volume Transport in the Jordan River: an Application of the Navier-Stokes Equations, Gwyneth E. Roberts
Honors College

An Epidemiological Model with Simultaneous Recoveries, Ariel B. Farber
Electronic Theses and Dissertations

Fitting the SIR Epidemiological Model to Influenza Data, Madeline Dorr
Honors College

2018

Rediscovering The Interpersonal: Models Of Networked Communication In New Media Performance, Alicia Champlin
Electronic Theses and Dissertations

The Hilbert-Huang Transform: A Theoretical Framework and Applications to Leak Identification in Pressurized Space Modules, Kenneth R. Bundy
Electronic Theses and Dissertations

Three Examples of Mondoromy Groups, Alice A. Wise
Electronic Theses and Dissertations

Forecasting Labor Force Participation at the Regional Level in the United States: The Case of Maine, Maryam Kashkooli
Honors College

2017

Tangled Up: Women’s Experiences in Mathematics, Lori Loftin
Honors College

Ode to Applied Physics: The Intellectual Pathway of Differential Equations in Mathematics and Physics Courses: Existing Curriculum and Effective Instructional Strategies, Brandon L. Clark
Honors College

An Agent-Based Model of Urban Sprawl: York and Cumberland Counties, Maine, Kaitlyn G. Lavallee
Honors College

Wavelet-based Particle Tracking in Unreconstructed, Off-axis Holograms, Zachary R. Connerty-Marin
Electronic Theses and Dissertations

Uniform Distribution of Hecke Eigenvalues, Caroline Reno
Electronic Theses and Dissertations

2016

Embedding of hypercube graphs on orientable surfaces, Prateek Kunwar
Electronic Theses and Dissertations

Microstructural Analysis of Thermoelastic Response, Nonlinear Creep, and Pervasive Cracking in Heterogeneous Materials, Alden C. Cook
Electronic Theses and Dissertations

Sperner's Lemma, The Brouwer Fixed Point Theorem, the Kakutani Fixed Point Theorem, and Their Applications in Social Sciences, Ayesha Maliwal
Electronic Theses and Dissertations

The Mathematics Behind Sudoku and How to Create Magic Squares, Addison LaBonte
Honors College

An Investigation of Linking Number, Twist, and Writhe, in Knots, Links, Ribbons, and Möbius Ribbons, Jennifer M. L. Fatula
Electronic Theses and Dissertations

Nonabsolute Extensions of the Lebesgue Integral on the Real Line, Danielle E. David
Electronic Theses and Dissertations

2015

Geometric Properties of Cells Exhibiting Huntington's Disease, Brian C. Toner
Electronic Theses and Dissertations

Calculus Students' Understanding of Logical Implication and its Relationship to their Understanding of Calculus Theorems, Joshua Case
Electronic Theses and Dissertations

Theories and Models of Indoor Space, Liping Yang
Electronic Theses and Dissertations

On Dedekind’s “Über die Permutationen des Körpers aller algebraischen Zahlen", Joseph JP Arsenault Jr
Electronic Theses and Dissertations

Decompositions of the Kuchment-Lvin Polynomials, Douglas Weathers
Electronic Theses and Dissertations

Pattern Recognition and Matching in Ice Core Data, Nathan Dunn
Honors College

2014

Computational and Mathematical Description of a Population on a Dynamic Landscape Driven by the Voter Model, Jack L. Hill
Electronic Theses and Dissertations

Moment Differential Equations of a Community-Structured SIS Epidemiological Model, Rachel Rier Carter
Electronic Theses and Dissertations

Survey of Graph Embeddings into Compact Surfaces, Sophia N. Potoczak
Electronic Theses and Dissertations

Computational Analysis of Mammograms Using the Metric Space Technique, Derrick Andrew Cox
Electronic Theses and Dissertations

Emmy Noether's Theorem on Integral Invariants in the Context of the Calculus of Variations, Amber Emily Hathaway
Electronic Theses and Dissertations

2013

Necklaces and Bracelets: Enumeration, Algebraic Properties, and Their Relationship to Music Theory, Joshua Case
Electronic Theses and Dissertations

A Lateral Field Excited Thin Film Bulk Acoustic Wave Sensor, Michael R. FitzGerald
Honors College

Matrix coefficients of certain supercuspidal representations of GL2(F), Carl Wayne Ragsdale
Electronic Theses and Dissertations

2012

Analysis of Survival Data by an Exponential-Generalized Poisson Distribution, Qiuyi Wu
Electronic Theses and Dissertations

On the Algebraic Reformulation of the Partition Function, Emily Igo
Electronic Theses and Dissertations

Ergodic Transformations and Measurable Sets, Trevor Vadas
Electronic Theses and Dissertations

Calculus Students' Understanding of Area and Volume in Non-calculus Contexts, Allison J. Dorko
Electronic Theses and Dissertations

Exact Results in Model Statistical Systems, Peter H. Kleban
University of Maine Office of Research Administration: Grant Reports

Mastering MATLAB, Duane C. Hanselman, Bruce Littlefield
Faculty and Staff Monograph Publications

A journey into partial differential equations, William Bray
Faculty and Staff Monograph Publications

2011

Spatial Population Models in Spatiotemporally Structured Environments, David Hiebeler
University of Maine Office of Research Administration: Grant Reports

Twisted L-Functions, John James Jackson
Electronic Theses and Dissertations

2010

A Variation on Geometric Constructions, James Robertson
Electronic Theses and Dissertations

Prime Modulo and Pascals Triangle as Seen with Fractal Geometry, Matthew Potter
Electronic Theses and Dissertations

Gauss Composition and Bhargava's Cube Law, Adam Barker-Hoyt
Electronic Theses and Dissertations

2009

Computing Galois Groups over Q, Christian L. Wilson
Electronic Theses and Dissertations

Estimating Minimum Effective Dose in Dose Response Studies, Zezheng Li
Electronic Theses and Dissertations

2008

Roller-Coaster Failure Rates and Mean Residual Life Functions, Weston D. Viles
Electronic Theses and Dissertations

The Profile Likelihood Method in Finding Confidence Intervals and its Comparison with the Bootstrap Percentile Method, Chenglu Dai
Electronic Theses and Dissertations

Wavelet-Based Segmentation of Fluorescence Microscopy Images in Two and Three Dimensions, Jeremy Grant
Electronic Theses and Dissertations

Estimation of Extra Risk and Benchmark Dose in Dose Response Models, Na Wang
Electronic Theses and Dissertations

2007

The Bochner Identity in Harmonic Analysis, Zachary J. Smith
Electronic Theses and Dissertations

Differential Equations & Linear Algebra, Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
Faculty and Staff Monograph Publications

2006

Traces of Hecke Operators, Andrew Knightly, Charles Li
Faculty and Staff Monograph Publications

The AKS Class of Primality Tests: A Proof of Correctness and Parallel Implementation, Justin S. Bronder
Electronic Theses and Dissertations

The Effect of Static and Dynamic Spatially Structured Disturbances on a Locally Dispersing Population Model, Benjamin R. Morin
Electronic Theses and Dissertations

2005

An Investigation of False Discovery Rates in Multiple Testing under Dependence, Hui Tao
Electronic Theses and Dissertations

An Investigation of the Two-Dimensional Ising Spin Glass Using Information Theoretic Measures, Debra A. Kenneway
Electronic Theses and Dissertations

Ramanujan's Formula for the Riemann Zeta Function Extended to L-Functions, Katherine J. Merrill
Electronic Theses and Dissertations

Transtheoretic Foundations of Mathematics (General Summary of Results). Series II: Irrational Numbers. Volume II: Cantor, Dedekind and Weil Conjectures, Henry Andrew Pogorzelski
Faculty and Staff Monograph Publications

2004

Statistical Mechanics of Farey Fraction Spin Chain Models, Jan Fiala
Electronic Theses and Dissertations

Statistical Inference for the Common Mean of Two Independent Log-Normal Distributions and Some Applications in Reliability, Xue Li
Electronic Theses and Dissertations

Estimation of Standardized Mortality Ratio in Geographic Epidemiology, Anna Kettermann
Electronic Theses and Dissertations

Assessing College Students' Mathematical Disposition, Richard W. Beveridge
Electronic Theses and Dissertations

Grobner Bases and an Algorithm to Find the Monomials of an Ideal, Thomas Enkosky
Electronic Theses and Dissertations

Statistical Inference for the Risk Ratio in 2x2 Binomial Trials with Stuctural Zero, Suzhong Tian
Electronic Theses and Dissertations

Ion Channel Dynamics in Interneuron Models of the Cricket Cercal Sensory System, Carrie Elizabeth Diaz Eaton
Electronic Theses and Dissertations

2003

Discovering Properties of Complex Numbers by Starting with Known Properties of Real Numbers, Esther D. Hatch
Honors College

The Distribution of the Irreducibles in an Algebraic Number Field, Rebecca Rozario
Electronic Theses and Dissertations

A Mathematical Model for Simplifying Representations of Objects in a Geographic Information System, Gabriel Perrow
Electronic Theses and Dissertations

Extracting Movement Patterns Using Fuzzy and Neuro-fuzzy Approaches, Haci Mustafa Palancioglu
Electronic Theses and Dissertations

Deductive Mathematics: an Introduction to Proof and Discovery for Mathematics Education, Andrew Wohlgemuth
Mathematics and Statistics Faculty Scholarship

2002

Estimation of Standardized Mortality Ratio in Epidemiological Studies, Bingxia Wang
Electronic Theses and Dissertations

Outlining Proofs in Calculus, Andrew Wohlgemuth
Mathematics and Statistics Faculty Scholarship

2001

Using generalized linear models with a mixed random component to analyze count data, Jungah Jung
Electronic Theses and Dissertations

Identities for the Multiple Polylogarithm Using the Shuffle Operation, Ji Hoon Ryoo
Electronic Theses and Dissertations

Reliability studies of the skew normal distribution, Nicole Dawn Brown
Electronic Theses and Dissertations

2000

Non-Euclidean Geometry, Skyler W. Ross
Electronic Theses and Dissertations

1998

An implementation of the El Gamal elliptic curve cryptosystem over a finite field of characteristic P, Samuel Thomas Arslanian
Electronic Theses and Dissertations

1977

Dickey-Lincoln School Lakes, Maine, U.S.A. and Quebec, Canada: Design Memorandum No. 5: Water Quality, New England Division, United States Army Corps of Engineers
Dickey-Lincoln School Lakes Project

1969

An Elementary Proof of the Prime Number Theorem, James G. Huard
Honors College

1966

Student Mathematics Club - Fiftieth Birthday Celebration,
University of Maine Photographs

1965

Installation of PI Mu Epsilon Chapter,
University of Maine Photographs

1940

A Reorganization in the Continuity of Subject Matter in Mathematics, Beryl E. Warner
Electronic Theses and Dissertations