This community contains the theses and dissertations of the Department of Mathematics and Statistics.

Due to copyright restrictions, the collection contains both open access and university access theses. University access items are only available to SDSU users, and on-campus visitors. Non-SDSU users wishing to access restricted materials may request items through their institution’s interlibrary loan services.

### Theses/Dissertations from 2024

Rado Numbers for Two Systems of Linear Equations, Anthony Glackin

Contrastive Learning, with Application to Forensic Identification of Source, Cole Ryan Patten

### Theses/Dissertations from 2023

Some 2-Color Rado Numbers For A Linear Equation With A Negative Constant, Rachel Bergjord

A Class of Regression Models for Pairwise Comparisons of Forensic Handwriting Comparison Systems, Cami M. Fuglsby

A Study of the Local Deep Galerkin Method for the Modified Cahn Hilliard Equation, Shi Wen Wong

### Theses/Dissertations from 2022

Totally Multicolored Rado Numbers For the Equation x_1 + x_2 + x_3 + ... + x_(m−1) = x_m, Skylar Halverson

Using Deep Neural Networks to Analyze Precision Agriculture Data, Stephanie Liebl

Efficient Numerical Optimization for Parallel Dynamic Optimal Power Flow Simulation Using Network Geometry, Rylee Sundermann

The Efficacy of the South Dakota State University Summer Jacks LeaP Program, Tessa M. Sundermann

### ETDS from 2021

Development of a Probabilistic Multi-Class Model Selection Algorithm for High-Dimensional and Complex Data, Madeline Anne Ausdemore

Detailing the Connection Between a Family of Polar Graphs and Tremain Equiangular Tight Frames, Nicholas Brown

Development and Properties of the ROC-ABC Bayes Factor for the Quantification of the Weight of Forensic Evidence, Jessie Hendricks

Methods for High-Dimensional Spatial Data: Dimension Reduction and Covariance Approximation, Paul May

### ETDS from 2019

Finite Mixture of Regression Models for Complex Survey Data, Abdelbaset Abdalla

Development of a Data-driven Patient Engagement Score Using Finite Mixture Models, Eric Bae

Applying Machine Learning Algorithms for the Analysis of Biological Sequences and Medical Records, Shaopeng Gu

Using Social Network Analysis to Examine the Connections within a Noyce Community’s Facebook Group, Amanda Jensen

Rigid Equilibriums of a Rotating String, Teddrick Schaffer

A Study of Several Applications of Parallel Computing in the Sciences Using PETSC, Nicholas Stegmeier

### ETDS from 2018

Variable Selection Techniques for Clustering on the Unit Hypersphere, Damon Bayer

Statistical Algorithms and Bioinformatics Tools Development for Computational Analysis of High-throughput Transcriptomic Data, Adam McDermaid

The Impact of Data Sovereignty on American Indian Self-Determination: A Framework Proof of Concept Using Data Science, Joseph Carver Robertson

Development of Biclustering Techniques for Gene Expression Data Modeling and Mining, Juan Xie

The Roles of DUXA, DPRX, and ARGFX Genes on Human Preimplantation Embryo Development, Most Farzana Yesmin

### ETDS from 2017

Comparative Study of the Distribution of Repetitive DNA in Model Organisms, Mohamed K. Aburweis

Development and Properties of Kernel-based Methods for the Interpretation and Presentation of Forensic Evidence, Douglas Armstrong

Identifying Predictors of Weight Loss and Drop-Out Using Joint Modeling, Valerie Bares

On Zero-Sum Rado Numbers for the Equation ax_1 + x_2 = x_3, Nicholas Brown

Threshold Models for Genome-wide Association Mapping of Familial Breast Cancer Incidence in Humans, Nasir Elmesmari

U-Statistics for Characterizing Forensic Sufficiency Studies, Cami Fuglsby

Spatial and Spatiotemporal Modeling of Epidemiological Data, Laxman Karki

A Kernel Based Approach to Determine Atypicality, Austin O'Brien

Approximate Statistical Solutions to the Forensic Identification of Source Problem, Danica M. Ommen

Response Surface Methodology and Its Application in Optimizing the Efficiency of Organic Solar Cells, Rajab Suliman

Development of Computational Techniques for Regulatory DNA Motif Identification Based on Big Biological Data, JInyu Yang

### ETDS from 2016

Identifying Data Centers from Satellite Imagery, Adam Buskirk

Bioinformatics Investigation on the Role of Obox Gene Family in Preimplantation Embryo Development, Wei Wang

### ETDS from 2015

Soybean Yield and Yield Component Response to Phosphorus Fertilization and Variety Trial Analyses in South Dakota, Adams K. Appiah

A Simulation of Tumor Growth Dynamics, Cara Burnett

Discrete and Continuous Rado Numbers for x sub 1 + x sub 2 + ... + x sub m + c = 2x sub 0, Tristin Lehmann

A Study of Time Decomposition Method for the Semilinear Wave Equations, Hyun Lim

Evaluating the Effectiveness of Health Awareness Events Based on Google Search Frequency, Miao Liu

Scoring a Software Development Organization with a Single Number, Ryan M. Swanstrom

### ETDS from 2014

Customer Portfolio Cluster Analysis in a Community Bank, Lance Cundy

Spatial Data Analysis, Mitra Lal Devkota

Availability and Preservation of Scholarly Digital Resources, Jason Hennessey

RNA-SEQ Gene Expression Profiling of Vitis Riparia Root and Shoot Tissues Under Water Deficit, Vedbar Singh Khadka

Analysis of Multivariate Longitudinal Data Using Structural Equation Modeling, Budhinath Padhy

A Comparative Verfication Study of Seasonal Outlooks Using Neural Networking and Historical Analog Strength Tools in South Dakota and Neighboring Climate Divisions, Joseph Carver Robertson

Two Essays on Agricultural Commodity Options Pricing, Adam Schmitz

Annotation and Visualization of Plant RNA-Seq Data, Padmapriya Swaminathan

Gaussian Approximation for Modeling Traffic Flow on a Homogeneous Road Segment, Brian Vachta

### ETDS from 2013

Deming Regression: An Alternative to Ordinary Least Squares in Handling Error in Variables Models with Noisy Datasets, Ram B. Adhikari

Improving Genetic Analysis with Augmented Experimental Designs, Krishna D. Bondalapati

Consumer Credit Scoring and an Enhanced Data Mining Technique, Ryan Burton

Stability analysis for soybean (Glycine max (l.) Merrill) Cultivars in Eastern South Dakota Environments, Kaushal Raj Chaudhary

Two-color Classical and Continuous Rado Number Results, Melanie Zinter Jacobson

Implicit Space-time Discretization of the Dirac Equation, Robert Vaselaar

Cluster Analysis of Gene Expression Profiles of Embryonic Stem Cell Differentiation in Mice, Matthew Whipple

Understanding Evolution of Gene Expression by Comparative Analysis, Ban Yuguang

### ETDS from 2012

Numerical Simulation of the Acoustical Propagation of Thunder, Jonathan S. Rood

### Theses/Dissertations from 2004

A Model of Timpani Point-of-Impact Dynamics, Curtis Heaser

The Effects of Graphing Calculator Use on Student's Understanding of Functions and Graphs in College Alegbra, Rebecca J. Hunter

Three-Color Rado Numbers for an Inequality, Brenda Johnson

### Theses/Dissertations from 2000

Four Color Rado Numbers for the Equation x₁+x₂+c=x₃, Robert Malo

### Theses/Dissertations from 1996

The Boundaries of a Polynomial, Dave Perkins

### Theses/Dissertations from 1995

A Comparison of Prediction Error Estimators as Applied to Positional Accuracy of Geometrically Corrected Satellite Images via Monte Carlo Simulations, Darrel VanderZee

### ETDS from 1992

Intelligent Search Under Uncertain Environments, Min Cao

### ETDS from 1991

Two Methods to Obtain Topology Defining Closure Systems on N Points, David Edward Meel

Some Thoughts on Obtaining Prediction Intervals and Creating Control Charts for Process Capability Indices, Tracy John Noldner

### ETDS from 1988

Population Modeling of Greenbug Aphids in Spring Wheat, Marie Ann Coffin

### ETDS from 1986

Egyptian Fractions, James L. Wakeman

### ETDS from 1974

The Existence of Reversed Digit Addends Modulo n, Lance Adair Wheeler

### ETDS from 1972

The Distribution of Primitive Roots in Fields of Order P², Marilyn Sol Gerjets

A Minimum Problem Connected with Complete Residue Systems in the Eisenstein Integers, David Peter Ochsner

Gaussian Pythagorean Triples, Joyce G. Ramige

Abstract Integration Theory, Anne Lowe Thiel

### ETDS from 1960

Quadratic Residues and Certain Related Topics, Donald George Hook

### ETDS from 1959

A Probability Sampling Design for the City of Brookings, South Dakota, Marian Egeberg Flesner