#### Theses/Dissertations from 2021

Lexicographic Sensitivity Functions for Nonsmooth Models in Mathematical Biology, Matthew D. Ackley

#### Theses/Dissertations from 2020

Hopf Algebras in the Representation Theory of Combinatorial//Families of Groups, Caleb Kennedy Hill

A Method to Reclaim Multifractal Statistics from Saturated Images, Jeremy Juybari

Calculating Infinite Series Using Parseval's Identity, James R. Poulin

Gray Codes in Music Theory, Isaac L. Vaccaro

#### Theses/Dissertations from 2019

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

Theory of Lexicographic Differentiation in the Banach Space Setting, Jaeho Choi

An Epidemiological Model with Simultaneous Recoveries, Ariel B. Farber

Embeddings of Harary Graphs in Orientable Surfaces, Christopher Allen Smith

#### Theses/Dissertations from 2018

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

Three Examples of Mondoromy Groups, Alice A. Wise

#### Theses/Dissertations from 2017

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

Uniform Distribution of Hecke Eigenvalues, Caroline Reno

#### Theses/Dissertations from 2016

Nonabsolute Extensions of the Lebesgue Integral on the Real Line, Danielle E. David

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

Improvements to Data Assimilations Strategies in Forestry, Trevor Gionet Jr

Embedding of hypercube graphs on orientable surfaces, Prateek Kunwar

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

Analysis of Survival Data by a Weibull-Bessel Distribution, Muhammad Waleed

#### Theses/Dissertations from 2015

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

Geometric Properties of Cells Exhibiting Huntington's Disease, Brian C. Toner

Decompositions of the Kuchment-Lvin Polynomials, Douglas Weathers

#### Theses/Dissertations from 2014

Moment Differential Equations of a Community-Structured SIS Epidemiological Model, Rachel Rier Carter

Computational Analysis of Mammograms Using the Metric Space Technique, Derrick Andrew Cox

Graduate Students' Mathematical Knowledge for Teaching the Derivative and Applications of the Derivative, Shahram Shawn Firouzian

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

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

Survey of Graph Embeddings into Compact Surfaces, Sophia N. Potoczak

#### Theses/Dissertations from 2013

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

Students' Understanding of Recursion: When Do They Use It and Why?, Adi Levy Conlogue

Analysis of Survival Data by a Weibull-Generalized Poisson Distribution, Jie Huang

An Assessment of Ninth Graders' Use of Graphs and Explanations to Communicate Scientific Ideas, Mary Jean Jones

Characterization of mammographic breast lesions and their microenvironment: an application of a wavelet-based multifractal formalism, Kendra Ann Mooer

Matrix coefficients of certain supercuspidal representations of GL2(F), Carl Wayne Ragsdale

College students' understanding of geometric transformations, Sarah Rizzo

#### Theses/Dissertations from 2012

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

On the Algebraic Reformulation of the Partition Function, Emily Igo

Ergodic Transformations and Measurable Sets, Trevor Vadas

Analysis of Survival Data by an Exponential-Generalized Poisson Distribution, Qiuyi Wu

#### Theses/Dissertations from 2011

Twisted L-Functions, John James Jackson

Targeted Treatment in a Community Model, Isaac J. Michaud

Students' Qualitative Understanding of the Relationship between the Graph of a Function and the Graphs of Its Derivatives, John R. Stahley

#### Theses/Dissertations from 2010

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

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

A Variation on Geometric Constructions, James Robertson

#### Theses/Dissertations from 2009

Estimating Minimum Effective Dose in Dose Response Studies, Zezheng Li

Computing Galois Groups over Q, Christian L. Wilson

#### Theses/Dissertations from 2008

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

Comparing Student Performance on Isomorphic Math and Physics Vector Representations, Joel Van Deventer

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

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

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

Attitude and Learning at Upward Bound in the Field of Statistics, Adam Zukowski

#### Theses/Dissertations from 2007

Students' Epistemological Beliefs of Mathematics When Taught Using Traditional Versus Reform Curricula in Rural Maine High Schools, Glenn T. Colby

An Analysis of Variable Misconceptions before and after Various Collegiate Level Mathematics Courses, Zachary Scott McIntyre

The Bochner Identity in Harmonic Analysis, Zachary J. Smith

#### Theses/Dissertations from 2006

The Effects of Implementing an Interactive Student Response System in a College Algebra Classroom, Dina L. Blodgett

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

An Investigation into the Change in the Van Hiele Levels of Understanding Geometry of Pre-service Elementary and Secondary Mathematics Teachers, Kathleen Chesley Knight

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

#### Theses/Dissertations from 2005

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

Measuring the Effects of Mathematics Instruction in a Physics Classroom with Mathematics and Physics Diagnostics, Michael A. Murphy

An Investigation of False Discovery Rates in Multiple Testing under Dependence, Hui Tao

#### Theses/Dissertations from 2004

Assessing College Students' Mathematical Disposition, Richard W. Beveridge

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

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

Estimation of Standardized Mortality Ratio in Geographic Epidemiology, Anna Kettermann

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

#### Theses/Dissertations from 2003

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

The Distribution of the Irreducibles in an Algebraic Number Field, Rebecca Rozario

#### Theses/Dissertations from 2002

Estimation of Standardized Mortality Ratio in Epidemiological Studies, Bingxia Wang

#### Theses/Dissertations from 2001

Reliability studies of the skew normal distribution, Nicole Dawn Brown

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

Identities for the Multiple Polylogarithm Using the Shuffle Operation, Ji Hoon Ryoo

#### Theses/Dissertations from 2000

Non-Euclidean Geometry, Skyler W. Ross

#### Theses/Dissertations from 1998

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

#### Theses/Dissertations from 1940

A Reorganization in the Continuity of Subject Matter in Mathematics, Beryl E. Warner