This collection includes theses, dissertations, and professional papers from the University of Montana Department of Mathematical Sciences. Theses, dissertations, and professional papers from all University of Montana departments and programs may be searched here.

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Theses/Dissertations from 2024

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FORBIDDEN SUBSTRUCTURE PROBLEMS IN GRAPHS AND HYPERGRAPHS, Van Miller Magnan

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Farey Recursion and Hyperbolic Dehn Filling, Jose Ebenezer Martinez

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FLOWER BASES IN FULL BLOOM: INTERSECTING FAMILIES AND A GENERALIZATION OF DIVERSITY, Ryan Wood

Theses/Dissertations from 2023

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“SHOULD WELLBEING BE THE SAME AS PERFECTION?” A CASE STUDY ON STUDENT WELLBEING IN HIGHER MATHEMATICS EDUCATION, Marcelo Alonso Almora Rios

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ANALYSIS OF COVID-19 IN RURAL AMERICA, Ian Gabriel Derickson

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ON THREE GENERALIZATIONS OF THE TURÁN PROBLEM, Anastasia M. Halfpap

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PERSISTENT STRUCTURE OF HIGHER-RANK GRAPHS AND THEIR C∗-ALGEBRAS: A Path Towards Geometric Classification, Samuel Joseph Lippert

Theses/Dissertations from 2022

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TRADING FINANCIAL INSTRUMENTS LIKE A VIDEO GAME: SEARCHING FOR PROFIT USING DEEP REINFORCEMENT LEARNING., Sebastian Coombs

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Randomly Perturbed Graphs and Rainbow Connectivity, John Arthur Finlay

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A STUDY INTO THE PREDICTION OF STOCK MARKET PRICES, John Denis Williams

Theses/Dissertations from 2021

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FORECASTING THE DAILY PERCENTAGE OF DELAYED FLIGHTS BASED ON THE NATIONAL WEATHER DATA, Parto Mahmoudi

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ON COLORING ORIENTED GRAPHS OF LARGE GIRTH, Michael Morris

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Variance Approximation Approaches For The Local Pivotal Method, Theodore Edward Owen

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OPTIMAL CONSTRUCTION OF A LAYER-ORDERED HEAP AND ITS APPLICATIONS, Jake Pennington

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EXTENDING BOOTSTRAP AGGREGATION OF NEURAL NETWORKS FOR PREDICTION WITH AN APPLICATION TO COVID-19 FORECASTING, Mohsen Tabibian

Theses/Dissertations from 2020

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SEMIVARIOGRAM METHODS FOR MODELING WHITTLE-MATERN PRIORS IN BAYESIAN INVERSE PROBLEMS, Richard David Brown

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A Natural Rank Problem for Homogeneous Polynomials and Connections with the Theory of Functions of Several Complex Variables, Kevin A. Palencia Infante

Theses/Dissertations from 2019

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Methods for Analyzing High Dimensional Data with Applications to the Wearable and Microbiome Data Analysis, Quy Xuan Cao

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The Application of Contemporary Numerical Methods to the Modeling, Analysis, and Uncertainty Quantification of Glacier Dynamics, Jacob Zachary Downs

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USE OF COMPUTER SOFTWARE TO DO MATHEMATICS AND THE MATHEMATICS ACHIEVEMENT OF STUDENTS IN PUERTO RICO USING RESTRICTED 2015 NAEP, Ricela Feliciano-Semidei

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Extremal Problems for Forests in Graphs and Hypergraphs, Omid Khormali

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High Dimensional Outlier Detection, Omid Khormali

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ASPECTS OF UNIQUE D-COLORABILITY FOR DIGRAPHS, Esmaeil Parsa

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Applications of Asymptotic Methods: Analyzing Mathematical Models in Neuroscience and Describing Fast Dynamics of a Trajectory in the Vicinity of a Chaotic Attractor, Denis Mikhailovich Shchepakin

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Statistical Modeling of Influenza-Like-Illness in Montana using Spatial and Temporal Methods, Benjamin A. Stark

Theses/Dissertations from 2018

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Effect of Neuromodulation of Short-Term Plasticity on Information Processing in Hippocampal Interneuron Synapses, Elham Bayat Mokhtari

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CENTRAL SIMPLE ALGEBRAS AND RELATED OBJECTS IN BOTH ZERO AND POSITIVE CHARACTERISTIC, Nhan Trong Nguyen

Theses/Dissertations from 2017

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MODULES, FIELDS OF DEFINITION, AND THE CULLER-SHALEN NORM, Charles Walter Katerba

Theses/Dissertations from 2016

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POINT SPREAD FUNCTION ESTIMATION AND UNCERTAINTY QUANTIFICATION, Kevin Thomas Joyce

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The Dynamics of Vector-Borne Relapsing Diseases, Cody Palmer

Theses/Dissertations from 2015

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A longitudinal study of students' reasoning about variation in distributions in an introductory college statistics course, Rachel Marie Chaphalkar

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An Investigation of the Impact of iPad Usage on Elementary Mathematical Skills and Attitudes, Grant Patrick Swicegood

Theses/Dissertations from 2014

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Accuracy assessment in multivariate Bayesian forecasting linear and nonlinear models, Clark Joachim Kogan

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Digraphs and homomorphisms: Cores, colorings, and constructions, Michael Dennis Severino

Theses/Dissertations from 2013

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Abstracted primal-dual affine programming, Tien Chih

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Computational Methods for Support Vector Machine Classification and Large-Scale Kalman Filtering, Marylesa Howard

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Peripherally-Multiplicative Spectral Preservers Between Function Algebras, Jeffrey Verlyn Johnson

Theses/Dissertations from 2012

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Inference for High-Dimensional Doubly Multivariate Data under General Conditions, John Zachary Hossler

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Mathematical Modeling and Disease Related Applications: A New Method of Estimating Bacterial Mutation Rates, Dynamics of Killer Yeast in a Chemostat, and Other Problems, Nicholas Fitzgerald McClure

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A Theoretical Development and Simulation-Based Comparison of Four Parameter Estimation Methods for the Spatio-Temporal Autologistic Model with Emphasis on Maximum Generalized and Block Generalized Pseudolikelihood, Jordan Earl Purdy

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Nontraditional Positional Games: New methods and boards for playing Tic-Tac-Toe, Mary Jennifer Riegel

Theses/Dissertations from 2011

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The Szego Kernel for Non-Pseudoconvex Domains in C2, Michael Gilliam

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STUDENTS' DEVELOPMENT IN PROOF: A LONGITUDINAL STUDY, Nicolas John Haverhals

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The Categories of Graphs, Demitri Joel Plessas

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D-colorable digraphs with large girth, Liam Rafferty

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INFORMAL MATHEMATICS ACTIVITIES AND THE BELIEFS OF ELEMENTARY TEACHER CANDIDATES, Matt B. Roscoe

Theses/Dissertations from 2010

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Modeling Conversions in Online Advertising, John Winston Chandler-Pepelnjak

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REGULARIZATION PARAMETER SELECTION METHODS FOR ILL POSED POISSON IMAGING PROBLEMS, John Goldes

Theses/Dissertations from 2009

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Randomness In Tree Ensemble Methods, Joran Elias

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SIMPLE TWO-SIDED RATIONAL VECTOR SPACES OF RANK TWO, John Walker Hart

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Norm-Preserving Criteria for Uniform Algebra Isomorphisms, Rebekah Yates

Theses/Dissertations from 2008

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Spectral Preserver Problems in Uniform Algebras, Scott Alan Lambert

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REGULARIZATION METHODS FOR ILL-POSED POISSON IMAGING, N'Djekornom Dara Laobeul

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Topos-like Properties in Two Categories of Graphs and Graph-like Features in an Abstract Category, Demitri Joel Plessas

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Proof Processes of Novice Mathematics Proof Writers, Hillary Dee VanSpronsen

Theses/Dissertations from 2007

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Lobachevski Illuminated: Content, Methods, and Context of the Theory of Parallels, Seth Braver

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Comparison of Trend Detection Methods, Katharine Lynn Gray

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Performance, Placement, and Persistence: An Exploratory Study of the First Year Math Experience at The University of Montana, Sharon Beth O'Hare

Theses/Dissertations from 2006

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A three -dimensional variational approach to video segmentation, Aaron Benjamin Luttman

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The use of computer manipulatives in building integrated concrete understandings in secondary mathematics education, Jane Antoinette Whitmire

Theses/Dissertations from 2005

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Dynamics of a single species natural forest in the presence of a disease, Peter J. McCauley

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Investigations of a chip-firing game, David Perkins

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A conflict in values: The dilemma of equity diversity and participation in higher mathematics, Deborah Sloan

Theses/Dissertations from 2004

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Asymptotic reductions of a model describing facilitated diffusion in membrane transport, Lucas A. Casady

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Greedoid invariants and the greedoid Tutte polynomial, Chris Anne Clouse

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Computation of the functor Ext using Groebner bases, Jonathan Comes

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Automated geometric theorem proving: Wu's Method, Joran M. Elias

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Robust variogram estimation via rank correlation and median absolute deviation correlation, Isaac C. Grenfell

Theses/Dissertations from 2003

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An exploratory study of undergraduate students' perceptions and understandings of indirect proofs, Varoujan Bedros

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Estimating classification accuracy using probability of correct classification estimates, Jiyan Du

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Oriented flow of rank 3 matroids, Matthew R. Edmonds

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An investigation of the factors affecting middle school mathematics students' ability to solve unfamiliar problems involving familiar mathematics concepts, Ya-Ling Hsu

Theses/Dissertations from 2002

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The effect of information on a stochastic fishery model, Greg Cripe

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Operations on graphs and matroids, Scott Jones

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Asymptotic analysis of a fast reaction outside a solid sphere in a creeping flow, Supawan Lertskrai

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Estimation in generalized linear models and time series models with nonparametric correlation coefficients, HuaiQing Sheng

Theses/Dissertations from 2001

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Analysis of a class of integro -differential equations describing age dynamics of a natural forest, Michael A. Kraemer

Theses/Dissertations from 2000

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An investigation of undergraduate calculus students' conceptual understanding of the definite integral, Todd D. Oberg

Theses/Dissertations from 1999

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Relation between SIMMS Integrated Mathematics curriculum and enrollment of females and American Indians in Montana secondary schools, James Alexander Barta

Theses/Dissertations from 1998

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Spatial discriminant analysis for linear relationships, Ronald D. Anderson

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Asymptotically good colorings of plane multigraphs, Yong Zhao

Theses/Dissertations from 1997

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Toward an elementary axiomatic theory of the category of loopless pointed matroids and pointed strong maps, Talal Ali Al-Hawary

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Asymptotic analysis of the dissolution of a spherical bubble in the case of a fast reaction, William M. Long

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Compact Toeplitz operators on Fock spaces, Sangadji

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Long-term effects of habitat clustering on spotted owl populations, Matthew R. Seeley

Theses/Dissertations from 1996

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Analysis of a Mathematical Model of Mitotic Regulation in Early Oocyte Cells of Xenopus Loevis: The Search for Oscillatory Behavior, Melanie Anderson

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Positive and oscillatory radial solutions of semilinear elliptic and parabolic equations, Shao-hua Chen

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Balanced graphs and balanced matroids, Jenifer S. Corp

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Local analysis of a Hopf bifurcation in a host-parasite plant interaction, Eric T. Dolven

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The development of an analytic scoring scale to assess mathematical modeling projects, Heidi Latvala Keck

Theses/Dissertations from 1995

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Categories of additive fractions and localization for rings and categories of R-modules, Debbre S. Hawkins

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A local model for dendritic solidification, Andrew G. Keck

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Theories on Limb Bud Morphogenesis, Stephen Mihina

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Estimation in generalized linear mixed models via the EM algorithm, Brian M. Steele

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Attitudes of ninth grade male and female students who participated in the Montana Mathematics and Science Project, Barbara Zuuring

Theses/Dissertations from 1994

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Postive and oscillatory radial solutions of semilinear elliptic equations, Shao-hua Chʻen

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Learning causal networks from data, Peter Karcher

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Submodularity min-max results and total dual integrality of combinatorial optimization problems, Ninghui Zhong

Theses/Dissertations from 1993

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A mathematical theory of evolution of ecological communities, Joseph Apaloo

Theses/Dissertations from 1991

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A procedure for obtaining a robust regression employing the greatest deviation correlation coefficient, Steven Eugene Rummel