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 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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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

Theses/Dissertations from 1989

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

Theses/Dissertations from 1988

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

Theses/Dissertations from 1987

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

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

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RINGS WITH FIXING ELEMENTS, Adel Fahmy Mikhail

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

Theses/Dissertations from 1984

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

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

Theses/Dissertations from 1983

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

Theses/Dissertations from 1982

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

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

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

Theses/Dissertations from 1980

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

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OPTIMIZATION TECHNIQUES IN EDUCATIONAL SCHEDULING, Richard A. Helfman

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SOME FIXED POINT THEOREMS, Lucimar Nova G.

Theses/Dissertations from 1979

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CHARACTERIZATIONS OF GENERALIZED NOETHERIAN RINGS, Francis Thomas Hannick

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THE CLASS NUMBER OF AN ALGEBRAIC NUMBER FIELD: ITS INTERPRETATION AND USE, Herbert Emil Kasube

Theses/Dissertations from 1978

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A GEOMETRICAL VIEW OF THE KOLMOGOROV-SMIRNOV STATISTICS WITH MULTI-SAMPLE GENERALIZATIONS, Dale Eugene Mueller

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PRUEFER RINGS, Percy Daniel White

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EXISTENCE AND MULTIPLICITY OF CONTINUA FOR NONLINEAR OPERATOR EQUATIONS, Katherine Ann Yerion

Theses/Dissertations from 1977

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ASPECTS OF CATEGORICAL TOPOLOGY, Vilas Edward Deane

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EXISTENCE THEOREMS FOR NONLINEAR HAMMERSTEIN EQUATIONS, Champak Dayaram Panchal

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RESOLVABLE AND DOUBLY RESOLVABLE DESIGNS WITH SPECIAL REFERENCE TO THE SCHEDULING OF DUPLICATE BRIDGE TOURNAMENTS, Henry Paul Smith

Theses/Dissertations from 1976

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CONVERGENCE CRITERIA FOR NONLINEAR SUCCESSIVE DISPLACEMENTS, Dick Arlen Wood

Theses/Dissertations from 1975

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ON QUASI-TOPOI: LOGIC AND EXAMPLES, Susan Stamm Lenker

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ORDER RELATIONS IN THERMODYNAMICS, Terry David Lenker

Theses/Dissertations from 1973

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Mathematical linguistics and automata theory and applications to biological growth models, Paul W. Bennett

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COHOMOLOGIES FOR DYNAMICAL SYSTEMS, Edmund Peter Geyer