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.
Theses/Dissertations from 2024
FORBIDDEN SUBSTRUCTURE PROBLEMS IN GRAPHS AND HYPERGRAPHS, Van Miller Magnan
Farey Recursion and Hyperbolic Dehn Filling, Jose Ebenezer Martinez
FLOWER BASES IN FULL BLOOM: INTERSECTING FAMILIES AND A GENERALIZATION OF DIVERSITY, Ryan Wood
Theses/Dissertations from 2023
“SHOULD WELLBEING BE THE SAME AS PERFECTION?” A CASE STUDY ON STUDENT WELLBEING IN HIGHER MATHEMATICS EDUCATION, Marcelo Alonso Almora Rios
ANALYSIS OF COVID-19 IN RURAL AMERICA, Ian Gabriel Derickson
ON THREE GENERALIZATIONS OF THE TURÁN PROBLEM, Anastasia M. Halfpap
PERSISTENT STRUCTURE OF HIGHER-RANK GRAPHS AND THEIR C∗-ALGEBRAS: A Path Towards Geometric Classification, Samuel Joseph Lippert
Theses/Dissertations from 2022
TRADING FINANCIAL INSTRUMENTS LIKE A VIDEO GAME: SEARCHING FOR PROFIT USING DEEP REINFORCEMENT LEARNING., Sebastian Coombs
Randomly Perturbed Graphs and Rainbow Connectivity, John Arthur Finlay
A STUDY INTO THE PREDICTION OF STOCK MARKET PRICES, John Denis Williams
Theses/Dissertations from 2021
FORECASTING THE DAILY PERCENTAGE OF DELAYED FLIGHTS BASED ON THE NATIONAL WEATHER DATA, Parto Mahmoudi
ON COLORING ORIENTED GRAPHS OF LARGE GIRTH, Michael Morris
Variance Approximation Approaches For The Local Pivotal Method, Theodore Edward Owen
OPTIMAL CONSTRUCTION OF A LAYER-ORDERED HEAP AND ITS APPLICATIONS, Jake Pennington
EXTENDING BOOTSTRAP AGGREGATION OF NEURAL NETWORKS FOR PREDICTION WITH AN APPLICATION TO COVID-19 FORECASTING, Mohsen Tabibian
Theses/Dissertations from 2020
SEMIVARIOGRAM METHODS FOR MODELING WHITTLE-MATERN PRIORS IN BAYESIAN INVERSE PROBLEMS, Richard David Brown
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
Methods for Analyzing High Dimensional Data with Applications to the Wearable and Microbiome Data Analysis, Quy Xuan Cao
The Application of Contemporary Numerical Methods to the Modeling, Analysis, and Uncertainty Quantification of Glacier Dynamics, Jacob Zachary Downs
USE OF COMPUTER SOFTWARE TO DO MATHEMATICS AND THE MATHEMATICS ACHIEVEMENT OF STUDENTS IN PUERTO RICO USING RESTRICTED 2015 NAEP, Ricela Feliciano-Semidei
Extremal Problems for Forests in Graphs and Hypergraphs, Omid Khormali
High Dimensional Outlier Detection, Omid Khormali
ASPECTS OF UNIQUE D-COLORABILITY FOR DIGRAPHS, Esmaeil Parsa
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
Statistical Modeling of Influenza-Like-Illness in Montana using Spatial and Temporal Methods, Benjamin A. Stark
Theses/Dissertations from 2018
Effect of Neuromodulation of Short-Term Plasticity on Information Processing in Hippocampal Interneuron Synapses, Elham Bayat Mokhtari
CENTRAL SIMPLE ALGEBRAS AND RELATED OBJECTS IN BOTH ZERO AND POSITIVE CHARACTERISTIC, Nhan Trong Nguyen
Theses/Dissertations from 2017
MODULES, FIELDS OF DEFINITION, AND THE CULLER-SHALEN NORM, Charles Walter Katerba
Theses/Dissertations from 2016
POINT SPREAD FUNCTION ESTIMATION AND UNCERTAINTY QUANTIFICATION, Kevin Thomas Joyce
The Dynamics of Vector-Borne Relapsing Diseases, Cody Palmer
Theses/Dissertations from 2015
A longitudinal study of students' reasoning about variation in distributions in an introductory college statistics course, Rachel Marie Chaphalkar
An Investigation of the Impact of iPad Usage on Elementary Mathematical Skills and Attitudes, Grant Patrick Swicegood
Theses/Dissertations from 2014
Accuracy assessment in multivariate Bayesian forecasting linear and nonlinear models, Clark Joachim Kogan
Digraphs and homomorphisms: Cores, colorings, and constructions, Michael Dennis Severino
Theses/Dissertations from 2013
Abstracted primal-dual affine programming, Tien Chih
Computational Methods for Support Vector Machine Classification and Large-Scale Kalman Filtering, Marylesa Howard
Peripherally-Multiplicative Spectral Preservers Between Function Algebras, Jeffrey Verlyn Johnson
Theses/Dissertations from 2012
Inference for High-Dimensional Doubly Multivariate Data under General Conditions, John Zachary Hossler
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
Nontraditional Positional Games: New methods and boards for playing Tic-Tac-Toe, Mary Jennifer Riegel
Theses/Dissertations from 2011
The Szego Kernel for Non-Pseudoconvex Domains in C2, Michael Gilliam
STUDENTS' DEVELOPMENT IN PROOF: A LONGITUDINAL STUDY, Nicolas John Haverhals
The Categories of Graphs, Demitri Joel Plessas
D-colorable digraphs with large girth, Liam Rafferty
INFORMAL MATHEMATICS ACTIVITIES AND THE BELIEFS OF ELEMENTARY TEACHER CANDIDATES, Matt B. Roscoe
Theses/Dissertations from 2010
Modeling Conversions in Online Advertising, John Winston Chandler-Pepelnjak
REGULARIZATION PARAMETER SELECTION METHODS FOR ILL POSED POISSON IMAGING PROBLEMS, John Goldes
Theses/Dissertations from 2009
Randomness In Tree Ensemble Methods, Joran Elias
SIMPLE TWO-SIDED RATIONAL VECTOR SPACES OF RANK TWO, John Walker Hart
Norm-Preserving Criteria for Uniform Algebra Isomorphisms, Rebekah Yates
Theses/Dissertations from 2008
Spectral Preserver Problems in Uniform Algebras, Scott Alan Lambert
REGULARIZATION METHODS FOR ILL-POSED POISSON IMAGING, N'Djekornom Dara Laobeul
Topos-like Properties in Two Categories of Graphs and Graph-like Features in an Abstract Category, Demitri Joel Plessas
Proof Processes of Novice Mathematics Proof Writers, Hillary Dee VanSpronsen
Theses/Dissertations from 2007
Lobachevski Illuminated: Content, Methods, and Context of the Theory of Parallels, Seth Braver
Comparison of Trend Detection Methods, Katharine Lynn Gray
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
A three -dimensional variational approach to video segmentation, Aaron Benjamin Luttman
The use of computer manipulatives in building integrated concrete understandings in secondary mathematics education, Jane Antoinette Whitmire
Theses/Dissertations from 2005
Dynamics of a single species natural forest in the presence of a disease, Peter J. McCauley
Investigations of a chip-firing game, David Perkins
A conflict in values: The dilemma of equity diversity and participation in higher mathematics, Deborah Sloan
Theses/Dissertations from 2004
Asymptotic reductions of a model describing facilitated diffusion in membrane transport, Lucas A. Casady
Greedoid invariants and the greedoid Tutte polynomial, Chris Anne Clouse
Computation of the functor Ext using Groebner bases, Jonathan Comes
Automated geometric theorem proving: Wu's Method, Joran M. Elias
Robust variogram estimation via rank correlation and median absolute deviation correlation, Isaac C. Grenfell
Theses/Dissertations from 2003
An exploratory study of undergraduate students' perceptions and understandings of indirect proofs, Varoujan Bedros
Estimating classification accuracy using probability of correct classification estimates, Jiyan Du
Oriented flow of rank 3 matroids, Matthew R. Edmonds
Theses/Dissertations from 2002
The effect of information on a stochastic fishery model, Greg Cripe
Operations on graphs and matroids, Scott Jones
Asymptotic analysis of a fast reaction outside a solid sphere in a creeping flow, Supawan Lertskrai
Estimation in generalized linear models and time series models with nonparametric correlation coefficients, HuaiQing Sheng
Theses/Dissertations from 2001
Analysis of a class of integro -differential equations describing age dynamics of a natural forest, Michael A. Kraemer
Theses/Dissertations from 2000
An investigation of undergraduate calculus students' conceptual understanding of the definite integral, Todd D. Oberg
Theses/Dissertations from 1999
Relation between SIMMS Integrated Mathematics curriculum and enrollment of females and American Indians in Montana secondary schools, James Alexander Barta
Theses/Dissertations from 1998
Spatial discriminant analysis for linear relationships, Ronald D. Anderson
Asymptotically good colorings of plane multigraphs, Yong Zhao
Theses/Dissertations from 1997
Toward an elementary axiomatic theory of the category of loopless pointed matroids and pointed strong maps, Talal Ali Al-Hawary
Asymptotic analysis of the dissolution of a spherical bubble in the case of a fast reaction, William M. Long
Compact Toeplitz operators on Fock spaces, Sangadji
Long-term effects of habitat clustering on spotted owl populations, Matthew R. Seeley
Theses/Dissertations from 1996
Analysis of a Mathematical Model of Mitotic Regulation in Early Oocyte Cells of Xenopus Loevis: The Search for Oscillatory Behavior, Melanie Anderson
Positive and oscillatory radial solutions of semilinear elliptic and parabolic equations, Shao-hua Chen
Balanced graphs and balanced matroids, Jenifer S. Corp
Local analysis of a Hopf bifurcation in a host-parasite plant interaction, Eric T. Dolven
The development of an analytic scoring scale to assess mathematical modeling projects, Heidi Latvala Keck
Theses/Dissertations from 1995
Categories of additive fractions and localization for rings and categories of R-modules, Debbre S. Hawkins
A local model for dendritic solidification, Andrew G. Keck
Theories on Limb Bud Morphogenesis, Stephen Mihina
Estimation in generalized linear mixed models via the EM algorithm, Brian M. Steele
Attitudes of ninth grade male and female students who participated in the Montana Mathematics and Science Project, Barbara Zuuring
Theses/Dissertations from 1994
Postive and oscillatory radial solutions of semilinear elliptic equations, Shao-hua Chʻen
Learning causal networks from data, Peter Karcher
Submodularity min-max results and total dual integrality of combinatorial optimization problems, Ninghui Zhong
Theses/Dissertations from 1993
A mathematical theory of evolution of ecological communities, Joseph Apaloo
Theses/Dissertations from 1991
A procedure for obtaining a robust regression employing the greatest deviation correlation coefficient, Steven Eugene Rummel