Mathematics Departmental Honors Theses

Thesis List

Year

First Name

Last Name

Title

Advisor

2025

Zachary

Barnhart

Comparative Analyses of Statistical Classification Methods

Patrick Stewart

2025

Kaitlin

Costanza

Videos for a Flipped Classroom and Supplemental Learning

Antonia Cardwell

2025

Jessica

Dieckman

K-q12 Factors Influencing Non-Stem Majors’ Perceptions of Mathematics

Cynthia Taylor

2025

Julia

Fischer

Exploring Secondary Mathematics Teachers’ Perceptions on the Role of Writing and Formative Assessments in Student Learning

Janet White

2025

Kaleb

Schmerge

The History and Application of Survival Models

Richard Mikula

2023

Alexis

Cordova

The Complex Relationships Between Mathematician’s Religious Beliefs and Their Mathematical Ideas: Historical Snapshots

Cynthia Taylor

2023

Collin

Hood

Divisibility Tests in Different Number Systems and Their Applications

Zhigang Han

2023

Paul

Lipinski

Linking Classical and Transformational Geometry

Zhigang Han

2023

Michael

McCloud

A Survey of the History of Integral Calculus from Archimedes to Riemann

Noel Heitmann

2022

Samantha

Berdel

Teaching Math with Creative Writing in Middle and Secondary Schools

Caleb Corkery & Janet White

2022

Brian

Fodale

Changes and Perceptions Experienced by Secondary-Level Mathematics Teachers during the COVID-19 Pandemic

Erin Moss

2022

Kelsey

Heckert

Factor Analysis: A Comparison of Two Statistical Packages

Kevin Robinson

2022

Hannah

Miller

Using Games as an Educational Resource to Teach Mathematics

Janet White

2022

Sara

Stinchcomb

Mathematical Models for White-Tailed Deer Populations Incorporating Annual Harvest

Baoling Ma

2021

Katherine

Pheysey

Comparison of Three Imputation Methods​ on a CDC COVID-19 Case Surveillance Database

James Fenwick

2020

Alyssa

Ames

Instructional strategies mathematics classroom teachers use to intrinsically motivate secondary school students

Cynthia Taylor

2020

Madison

Martin

Transfer Functions within Time Series Analysis

James Fenwick

2020

Annie

Tepe

A Historical Analysis of the St. Petersburg Paradox

Kevin Robinson

2019

Susan

Lloyd

Combining Cluster Analysis and Discriminant Analysis into an Integrated  Approach to Analyze Data

James Fenwick

2019

Megan

McGee

Quantifying the Recovery of the Active Nesting Bald Eagle (Haliaeetus leucocephalus) Population in New Jersey

Baoling Ma

2019

Noelle

Shellenberger

Classical and Transformational Approaches to Triangle Center Theoroms and Its Implication in Geometry Education

Zhigang Han

2019

Jamie

Wittick

A Comparison of Mathematics Textbooks from 1833 to 2015

Cynthia Taylor

2018

Brooke

Dobbs

Women Authors of Mathematics Textbooks

Dorothee Blum

2018

Joshua

Larson

Periodic Orbits on a Regular Hexagon

Zhigang Han

2017

Jessica L.

Butts

Comparison of Principal Components Analysis and Canonical Correlation Analysis

Kevin Robinson

2017

Krista

Mamet

Life Table Modeling and Its Uses in Actuarial Science

Kevin Robinson

2017

Quinn

Minnich

An A coalgebra Structure on the Cellular Chains of a Polygon

Ronald Umble

2017

Jack

Warner

Structured mathematical models to investigate the interactions between Plasmodium falciparum malaria parasites and host immune response

Baoling Ma

2016

Mervin

Fansler

Computational Application of the Transfer Algorithm to Borromean Rings

Ronald Umble

2016

Taylor

Lagler

The Effect of Covariance Matrices on Classification Procedures in Discriminant Analysis

James Fenwick

2015

Benjamin R.

Baer

Topics in Time Series Analysis with a Focus on Transfer

James Fenwick

2015

Nicholas

Heil

Ethnomathematics: Maya Vigesimal and Chronological Mathematical Systems

Ximena Catepillan & Cynthia Taylor

2015

Ann 

Kovacs

A Comparison of Parametric vs. Nonparametric Estimation of Survival Curves

Delray Schultz

2015

Jing

Li

Square of a Connected Quasi Claw-free Graph

Mingquan Zhan

2015

Christopher

Schneider

Generating Box-Jenkins ARIMA Date in JAVA , with a Concentration on

James Fenwick

2014

Jacob J.

Hike

Modeling Optimal Takeoff

J. Robert Buchanan

2014

Chelsea Anne

Leber

Perspectives on Women in Mathematics: Past, Present and Future

Dorothee Blum

2014

Shaina

Smolowe

The Search for the Quadratic Formula

Dorothee Blum

2013

Timothy

Guy

Technology and the Evolution of Mathematics Education

Janet White

2012

Matthew J.

Keefe

Multidimensional Scaling: Mathematics Course Comparison and Zooplankton Abundance J. Fenwick

James Fenwick

2012

Anthony

Mastriania IV

Resolution Graphs and Splice Diagram for Certain Surface Singularities

Elizabeth Sell

2012

Patrick

Owens

Unification Problems on the Advanced Placement Calculus AB Exam

Dorothee Blum

2012

David

Paules

Fibonacci Numbers

Bruce Ikenaga

2011

Katelyn

Coleman

Math Teaching Strategies for Algebra

Janet White

2011

Stephanie

Coleman

The Dependency of Students and Teachers on Calculators in the Classroom

Janet White

2011

Michelle C.

De Stefano

Math Anxiety in College Algebra Students

Michael Wismer

2011

Andrew

Gehman

Discriminant Models in Graduation Prediction and Amblyopia Referral

James Fenwick

2011

James

Patounas

Solutions to the Beam Equation and Applications of Control Methods

J. Robert Buchanan

2011

Morgan

Schreffler

Fixed Point Theorems in Topology and Geometry

Ronald Umble

2010

Osman

Chaudhary

The 3-Body Problem and Saturn’s Rings

J. Robert Buchanan

2010

Steven M.

McClure

A Stochastic Model of a Flour Beetle Ecosystem

J. Robert Buchanan

2010

April

Stump

Word Problems as a Reflection of Culture

Dorothee Blum

2009

Catherine

Albright

Time Series Analysis: Seasonally and Intervention Analysis using R

James Fenwick

2009

Katy

Lightner

Visual Displays of Statistics: Teaching Students about Spread Using Graphs and Technology

Kevin Robinson

2009

Jared L.

Martin

Effectiveness of Preliminary Tests of Variance for Two Sample T-Tests

Lewis Shoemaker

2008

Nicholas D.

Brubaker

Numerical Approximations of Center Manifolds

Zhoude Shao

2008

Sean M.

Evans

2-In / 3-Out A - Bialgebras

Ronald Umble

2008

Daniel E.

Kravatz, Jr.

Diagonal Approximations on an n-gon and the Cohomology Ring of Closed Compact Orientable Surfaces

Ronald Umble

2008

Sherry B.

Linn

Cardiac Arrhythmias and the FitzHugh-Nagumo Model

J. Robert Buchanan

2007

Nicole

Laros

Equitable Circular Labelings of Graphs

Dorothee Blum

2006

John A.

Gemmer

Generalizations of the Brachistochrone Problem

Michael Nolan

2006

Stephanie

Good

A Study of a Selection of Algebra I and Algebra II Textbooks Before and After the 1989 NCTM Standards

Dorothee Blum

2005

Andrew

Baxter

Periodic Orbits on a Triangular Air Hockey Table

Ronald Umble

2005

Michael

Cherrybon

Time Series Analysis: Utilizing the Box-Jenkins Procedure for Analyzing Economic Data

James Fenwick

2005

Sean M.

Laverty

A Habitat Suitability Model for Crayfish Species I Lancaster County, Pennsylvania, Streams

J. Robert Buchanan

2005

Joel M.

Martin

Log-Linear Models and an Analysis of the Pennsylvania Department of Education High School Mathematics Field Test

James Fenwick

2005

Stephen J.

Weaver

Computing the Saneblidze-Umble Diagonal on Permutahedra

Ronald Umble

2004

Shannon

Boyle

Teaching Styles and the van Heile Levels: An Analysis of the Effects of Two Teaching Styles on Student Learning

Janet White

2003

Michael

Dalmati

Comparison of Non-Parametric Survival Estimates between Full and Reduced Sample Sizes

Delray Schultz

2002

Heather

Heston

Möbius Transformations and Their Isometric Circles

Ximena Catepillan

2002

Joel B.

Mohler

Distance Minimizing Paths on Certain Simple Flat Surfaces with Singularities

Ronald Umble

2002

Ellen

Panofsky

Raising Lower Bounds for the Circularity of Circulant Graphs

Dorothee Blum

2002

Rebecca

Wentz

Mathematical Models of Predator-Prey Interactions

J. Robert Buchanan

2000

Melinda

Moyer

Time Series Analysis of State System of Higher Education Historical Enrollment

James Fenwick

1997

Margaret E.

Brousil

Simulations of Diurnal Circulations using a Two-Dimensional Mesoscale Numerical Model

Richard Clark & J. Robert Buchanan

1997

Melissa

Courtade

A Time Series Approach for Testing Casuality Relationships of Inflation

James Fenwick

1996

Sheila D.

Haller

The Ornamental Groups of the Plane

Ronald Umble

1995

Christine

Ely

A Mathematical Analysis of Acoustic Wave Scattering

Robert Smith

1995

Denise

Grittner

The Equitable Chromatic Number of a Bipartite Graph

Dorothee Blum

1995

Keith E.

Mellinger

Rings with Involution

Hisa Tsutsui

1994

Jennifer

Fritz

Developing Problem Solving Skills in Today's Students: A Necessity for the Future

Bernie Schroeder

1991

Susan

Raught

The Angle Trisection Problem

Ronald Umble

1990

Robin M.

Wert

An Investigation of the Errors Involved in Numerical Solutions to Differential Equations

Robert Smith

1987

Dean

Balach

Simplicial Homology

Ronald Umble

1987

Cynthia

Cuddy

Balloons and Other Surfaces: The Euler Characteristic and Simplicial Homology

Ronald Umble