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 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 C^{2}, 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 ChÊ»en

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

#### Theses/Dissertations from 1989

Some aspects of multiplicative commutation relations, Gregory M. St. George

#### Theses/Dissertations from 1988

Optimal control problems with state and control constraints, Alvaro J. Bolano

#### Theses/Dissertations from 1987

VALUATION THEORY OF COMMUTATIVE MONOIDS, Mohammed A. Al-Kadhi

A SCHOOL BOUNDARY PROBLEM IN A PERIOD OF DECLINING ENROLLMENT AND ITS EXTENSION TO A MULTI-STAGE PROBLEM, Fat Cheung Lam

RINGS WITH FIXING ELEMENTS, Adel Fahmy Mikhail

IMPLEMENTATION OF NESTED DISSECTION METHOD USING BLOCK ELIMINATION, Hashim A. Saber

#### Theses/Dissertations from 1984

A CORRELATION COEFFICIENT BASED ON MAXIMUM DEVIATION (NONPARAMETRIC RANKS SIMULATION), Robert Ashley Hollister

MODULE CATEGORIES (RING SEVERAL OBJECTS ADDITIVE FUNCTOR), Carol A. Ulsafer

#### Theses/Dissertations from 1983

MATHEMATICAL ANALYSIS OF A MODEL FOR SUCCESSIONAL CHANGE IN A GRASSLAND ECOSYSTEM, Ernest J. Boyd

#### Theses/Dissertations from 1982

Lessons to develop some problem solving strategies for high school students of varying abilities, Diane E. Burrell

ASYMPTOTICALLY PERIODIC SOLUTIONS TO SOME INTEGRAL EQUATIONS IN EPIDEMIC MODELS, Thomas L. Cromer

A DISTRIBUTION-FREE SCALE TEST OF THE KOLMOGOROV-SMIRNOV TYPE, Adele Marie Rothan

#### Theses/Dissertations from 1980

QUALITATIVE ANALYSIS OF A CLASS OF NONLINEAR INITIAL VALUE PROBLEMS ARISING IN THE FIELD OF PHARMACOKINETICS, Gerald Caton

OPTIMIZATION TECHNIQUES IN EDUCATIONAL SCHEDULING, Richard A. Helfman

SOME FIXED POINT THEOREMS, Lucimar Nova G.