The repository is a service of the Carroll College library. Research and scholarly output included here has been selected and deposited by the individual departments and centers on campus.

Founded in 1909, Carroll College in Montana’s capital city of Helena is a teaching centered private Catholic four-year college ranked by U.S.News & World Report as the number one regional college in the West eight years in a row and a top regional college “Best Value School” in the West. Students come to Carroll for its combination of top academic programs, affordable tuition with generous financial aid and the deep sense of faith-based community the campus offers. Top professors are role models for student excellence, with Carroll faculty members distinguished as published authors, Fulbright Scholars, groundbreaking researchers and recipients of National Endowment for the Arts and National Endowment for the Humanities grants and awards.

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Mathematics at Carroll College

Engineering at Carroll College

Computer Science at Carroll College

Data Science at Carroll College

This collection includes Carroll College undergraduate student theses from 1917-Present. Use the following links to view ETDs in Mathematics, Engineering and Computer Science:

#### Theses/Dissertations from 2018

More than one way to skin a cat: Interpolation techniques in one-dimension, Jesica Bauer

A Numerical Model of the Subaerial Landslide Generated Waves of the Berkeley Pit, Matthew McHugh

Classifications of Electrical Resistance Distance in Simple Graphs, Marcellus Randall

Applications of Network Flows, Erica Wiens

The Shape of Disease: Applying geometric data analysis and other methods to time series survey data, Lizzy Younce

#### Theses/Dissertations from 2017

Topological Data Analysis: Giving Data Shape, Dylan Allen

Mirror symmetry in black holes, elementary particles, and mathematics, Mark Romano

Modeling Contaminant Flow in the Puget Sound, Jordan Trinka

Creating the Tools to Study Galaxy Evolution Through Examination of Properties of Dark Matter Halos, Joseph Zepeda

#### Theses/Dissertations from 2016

Analyzing the Effects of Topography on High-Altitude Balloon Descent, Elizabeth Carlson

Confidence Intervals in a High School Statistics Class, Alexander Chopyak

Development of Physically Realistic Numerical Model for Blinking Vortex System, Dawson Osborn

An Investigation into Nuclear Fusion Energy Through the 2D Numerical Simulation of MHD Instabilities, Dempsey Rodgers

#### Theses/Dissertations from 2015

Suggested Types of Manipulatives to Aid in Teaching Geometry to Various Age Groups of Students, Tessa Berg

Modeling Traffic Through Intersections, Mark Griffith

Terraforming Mars via Aerobraking an Asteroid, Austin Powell

Turing Patterns and Butterfly Wings, Tarryn Vavruska

#### Theses/Dissertations from 2014

Security Analysis of Embedded File Systems, Justin Courville

An Exploration of Quadratic Residues in Finite Fields, Ian Kessler

Burning Down the Cost: A Study to Optimize Wildfire Expenses, Joe King

The Role of Math Modeling in the Common Core, Ashley Perez

Music: Helpful or Hindering?, Hillary Stayner

Development of Software for Generating Synthetic Fetal Electrocardiograms, Kiersten Utsey

Implementation Of A Probabilistic Interruption Management System For Smartphones, William Vilwock

#### Theses/Dissertations from 2013

Development and use of Kulikovskiy-Sveshnikova-Beghin (KSB) model for avalanches and its application to slide paths of central Montana, Michael Fiore

Facility Locations In Montana, Sydney Philipps

Zombie Fever: Forecasting an Undead Epidemic, Sarah Reehl

Image analysis of Mitochondrial Texture in Progeria patients in response to shear stress and nuclear segmentation, Emily Speranza

Football in Flight: A study of the math and physics of the trajectory of a kicked football, Ryan Swenson

Web Analytics with N8stats, Nathan Woods

#### Theses/Dissertations from 2012

A Dynamic Programming Approach to Sequence Alignments, Jeffery Allen

The Mathematics of Cryptography & Data Compression, Jennings Anderson

Sustainable Solutions in Developing Communities, Jonathan Rainwater

An Interesting Opportunity: The Gilbreath Conjecture, Kyle Sturgill-Simon

Read-Back Schemes for Two-Dimensional Magnetic Recording, Grant Williams

#### Theses/Dissertations from 2011

Growing Algae for Biofuel; Potential Methods and Costs, Joseph Barstad

Hamming Codes and the McEliece Cryptosystem, Ben Dill

A Look into Railgun Physics and Design, Scott Harmon

The Separation of a Two-Nanosatellite System via Differential Drag, Ian Lyon

Football Betting Trends, Sam Schaefer

#### Theses/Dissertations from 2010

Striving for the Edge in Investing: A Statistical Analysis on the Current Asset to Market Capitalization Ratio, Adrian Conley

Statistical Retention Analysis of Enrollment Data at Carroll College, Dustin Dickerson

Verification of a Support Vector Machine Model for Predicting Proteotypic Peptides, Jessica Forbes

#### Theses/Dissertations from 2009

A Direct Numerical Simulation of a Computational Fluid Dynamics Application Using the Navier-Stokes Equations and Finite Differences, Carl Bernsten

An Investigation of the use of Piezoceramics in an Energy Harvesting Flooring System as a Source of Alternative Energy, Andrew Cifala

Arrow Diameter: Is it the Key to Archery Success?, Katie Deyerle

Drug Pricing in the United States: A Comparison with Canada and Mexico, Crystal Dorne

Implementing a Greedy Crossover Operator for Cooperative Coevolution of Neural Networks, Ben Dunham

Gray Matters: Analysis of Gray Water Use in a Typical Central Montana Household, Courtney Hecht

Predator-Prey Simulations, Joe O'Connor

#### Theses/Dissertations from 2008

Traveling Wave Excitation of Soft X-Ray Lasers, Steffan Francischetti

Heuristics for the Knapsack Problem, Claire Gilbertson

Using Circuitry and Computer Analysis for Modern Cryptology, Peter Lavallee II

Pulverized Pavement Performance Evaluation, Tiffany Rochelle

Inbreeding curvature: a geometrical approach for describing the tendency of a population to inbreed or outbreed, John Vidal-Riggs

#### Theses/Dissertations from 2007

Mathematics Education and Multiple Intelligences, Bethany Brownlee

Mathematics and Electricity Modeling with an RLC Circuit, Joe Havens

Using Temperature Measurements To Find the Flow Rate of Ground Water into a Stream, Holly Perryman

Modeling Stellar Interiors of Zero Age Main Sequence Stars, Anthony Rasca

#### Theses/Dissertations from 2006

There Are 10 Kinds of Problems in the World: Those That Are Binary and Those That Aren’t, Shane Garrick

Regression and Correlation Using R, Sarah Hartenstein

The Minimum Letter Flip Problem for Haplotyping a Single Individual, John Louie

Effects of Cord Angle on In-Plane Bending of a Tire Ply, George Metzger

The Schrodinger Equation: Origins and Numerical Solutions, Lucas Meuchel

Markov Modeling of A Maintenance Facility, Ying Zhu

#### Theses/Dissertations from 2005

Analysis of Magnetohydrodynamic Simulations of Convective Forces on Buoyant Flux Tubes in the Sun, John Fowler

An Overview of the Riemann Hypothesis, Jeffrey Larson

Uncertainty Calculation for Complex Measurements, Pablo Vanwoerkom

#### Theses/Dissertations from 2004

It’s Your Move: Optimal Playing Strategies for Mancala, Kelly Beffert

Applications Of Permutations And Substitutions To Cryptography, Shannon O’Brien

Effect of Displacement Histories on Lightly Confined Reinforced Concrete Bridge Columns, Kylee Zimmer

#### Theses/Dissertations from 2003

From the Ground Up: Open-Source System Design Using HTML, PHP, and MySQL, Erin Brimhall

Plowing the Streets of Helena An Exploration of Algorithmic Solutions to Connected Graph Traversal Optimization, Kylan Johnson

Creating Natural Landscapes With Fractal Geometry, Rogie King

Security Implications for Wireless Local Area Networks, Daniel Zentner

#### Theses/Dissertations from 2002

Mathematica Outside the Lab: Transferring Classroom Material onto the World Wide Web, Rebecca Baker

Exploring the Natural Connection of Mathematical and Musical Concepts Using Mathematica, Joe Hayter and Sarah Cobb

Logic Puzzle, Toshie Matsuoka

The Traveling Salesperson Problem: A Look At NP-Completeness and Methods For Finding Solutions, Theodore Wendt

The RSA Encryption System and the Factorization of Large Numbers, Matthew Zanto

#### Theses/Dissertations from 2001

An Integer Programming Model for Carroll College Math Department Scheduling, Jaime Kopf

A Mathematical Model of How Smallpox Can Be Used as a Biological Weapon, Jennifer Stewart

#### Theses/Dissertations from 2000

Uncertainties in Performance Estimates Of Reinforced Concrete Columns, Michael Berry

The Response of a Multistory Building Structure to Seismic Ground Motion, David French

#### Theses/Dissertations from 1999

Mathematics and Music: Integrating the World Wide Web into Today’s Education System, Kimberly Boehmer, Kayme Johnson, and Marisa Peila

Finite-Element Analysis Of Two-Dimensional Frame Structures, Benjamin Parish

#### Theses/Dissertations from 1998

Modeling the Flight of a Baseball, Steven Eaton

Evapotranspiration Estimates for the Closed Norman, Oklahoma Landfill, Christine Gossard

The Ploidy Studies Of Ovarian Cancer: Searching For New Methods Of Diagnosis, Robert Lapcevic

#### Theses/Dissertations from 1997

Spiralling Through Graph Theory, Melinda Milani

#### Theses/Dissertations from 1996

Wavelet Decomposition of a Function, Michael Schauf

#### Theses/Dissertations from 1995

A Computer Model For Airfoils With Moving Surface Boundary-Layer Control, Jacob Kimball

An Experiment to Measure Transport Parameters in a Saturated Heterogeneous Scaled Medium, Logan McInnis

Discussion and Application of Geometrically and Statistically Self-Similar Fractals, Marvin Weber

A Comparison of the Discrete Fourier Transform and Wavelet Decompositions of a Function, Bing Wu

#### Theses/Dissertations from 1994

The Complementary Nature Of Theology And Science: Fact Or Fiction?, Lesley Holmes

Application of Fractal Mathematics In Economics, Ming Qian

FFT, a Powerful Tool for Modern Science and Technology, Xin Zhang