**The full text of Senior Independent Study Theses submitted during and after 2012 are available to download only by College of Wooster users. Unless listed as an exemplar, all other theses are restricted.**

#### Senior Independent Study Theses from 2018

Connecting Five Stones: Artificial Intelligence Implementation For Go-moku In Unity, Jianqiu Bai

Department: Computer Science; Mathematics

The First Spacewalk: An Exploration of the Mathematical and Cultural Implications of the Space Race, Aidan Brown

Department: Mathematics; Russian Studies

Understanding Human Well-Being, Junyi Chen

Department: Mathematics; Philosophy

Analyzing and Solving the Nurse Scheduling Problem, Nicholas Hagopian-Zirkel

Department: Computer Science; Mathematics

Sports Analytics With Computer Vision, Colby T. Jeffries

Department: Computer Science; Mathematics

Dispatches from the Fly Killer: A mathematical model that studies the correlation between sleep fragmentation and longevity in Drosophila melanogaster, Vedica Jha

Department: Biology; Mathematics

Fractals and Fractal Time Series, Sonia Malik

Department: Mathematics

Algorithmic Music Composition, Thomas Matlak

Department: Computer Science; Mathematics

She Shoots, She Scores: Creating a Mathematical Model to Predict Expected Shot Value in Women's NCAA Division III Basketball, Paige McKean

Department: Mathematics

A Behavioral Approach To CAPM, Ethan Myers

Department: Mathematics; Business Economics

Understanding Municipal Bond Ratings Using Ordered Multinomial Logistic Regression, Thao Nguyen

Department: Business Economics; Mathematics

An Investigation of Markov Chains and their Application to Hospital Patient Flow, Sarah Padrutt

Department: Mathematics

The Shot Heard Around The World: Determining the Influence and the Spread of the Anti-vaccination Ideology on Measles Outbreaks Using Epidemiological Models, Jennifer Shepheard

Department: Biology; Mathematics

Crime Around the World: Using Mathematical Modeling Techniques to Model Aggregated Worldwide Crime Rates, Kelly M. Steurer

Department: Mathematics

Logic -> Proof -> REST, Maxwell Taylor

Department: Computer Science; Mathematics

SOMETHING FISHY: A Comprehensive Analysis of Terror Plots subject to Binomial and Poisson Distributions, Sabrina S. Tobe

Department: Mathematics

Does Insurance Impact Happiness? An Analysis of Crop Micro-Insurance Structures' Impact on the Well Being of Farmers within Developing Economies: A Sri-Lankan Study Using a Utility Framework & Linear Algebra Perspective, Giorgio Tramonto

Department: Economics; Mathematics

Inclusion of Blocking Power for a Complete Voting Power Analysis in the IMF, Shiwani Varal

Department: Mathematics; Political Science

On Hausdorff Dimension and Julia Sets, Ruifeng Xu

Department: Mathematics

Artificial Intelligence with Reinforcement Learning in First Person Shooter Games, Zhirui Zhang

Department: Computer Science; Mathematics

#### Senior Independent Study Theses from 2017

Skilled Emigration, Return, and Human Capital Formation: A Game Theoretic Approach, Ruben Aguero Quinteros

Department: Economics; Mathematics

A Mathematical Modeling Examination of the Changing Social, Economic and Environmental Indicators for Infant Mortality Rates Across The United States, Sophia Anderson

Department: Mathematics

An Analysis of The Surreal Number System, Aaron C. Brown

Department: Mathematics

A Stroll Through Cantor's Paradise: Appraising the Semantics of Transfinite Numbers, Matthew R. Buranosky

Department: Mathematics; Philosophy

Math Rules Everything Around Me: Ann Examination of Fractals and Their Real-World Applications, Dana Faust

Department: Mathematics

Monotonic Untangling to Solve the Unknotting Problem, Dana Foley

Department: Computer Science; Mathematics

On Degree Bound for Syzygies of Polynomial Invariants, Zhao Gao

Department: Mathematics

On Rationality and Morality: Three Kinds of Approaches, Emily A. Howerton

Department: Mathematics; Philosophy

Understanding Gödel's Incompleteness Proofs, Nanako Ito

Department: Mathematics

Clear Communication: Construction and Implementation of Error-Correcting Codes, Alex P. Iudice

Department: Computer Science; Mathematics

Building a Course Recommender System for The College of Wooster, Nan Jiang

Department: Computer Science; Mathematics

Smallball: A Statistical Analysis on the 2016 SEC Baseball Season, Jacob T. Kail

Department: Mathematics

The Black-Scholes Option Pricing Model and a Test for Efficiency in the Underlying Stock Market, Sanjana Kumbhani

Department: Business Economics; Mathematics

Bidder’s Behavior Model and Seller Revenue in eBay’s Buy It Now option, Gina Trang Lam

Department: Mathematics

Regression Analysis: Understanding Rather than Assuming, Jonathan A. Ledesma Chavez

Department: Mathematics

Evolving Monkeys into Sharks: an Analysis of Daily Fantasy Football Strategies, Conor R. Maley

Department: Computer Science; Mathematics

The Rubik's Cube: A Look into Group Theory, Tori L. McCoy

Department: Mathematics

Consumer Behavior in the Digital Music Market using Behavioral Game Theory, Max Mindlin

Department: Mathematics

Reinforcement Learning in Card Games: No Thanks!, Robin M. Morillo

Department: Mathematics

Blinded by the Light: An Investigation of the Wave Propagation of Vector Modes of Light in a Spherically Symmetric Refractive Index Profile, Preston B. Pozderac

Department: Mathematics; Physics

An Exploration of Hidden Markov Models with Applications to the Stock Market, Tyson Vogel

Department: Mathematics

Two-Sided Eulerian Numbers, Haven Wagner

Department: Mathematics

The Search for GTO: Determining Optimal Poker Strategy Using Linear Programming, Stuart Young

Department: Mathematics

Calculating the Course: The Impact of Mathematical Research on the Undergraduate Mathematics Curriculum, 1930-1950, Marjorie Zeager

Department: History; Mathematics

#### Senior Independent Study Theses from 2016

Infinity & Beyond: Logicism and the Continuum Hypothesis, Tom Ames

Department: Mathematics; Philosophy

A Comparative Analysis of Photon and Electron Wave Functions in Spherically Symmetric Potentials, Michael Bush

Department: Mathematics; Physics

Applying Modern Portfolio Theory to Optimal Portfolio Construction, Adam J. Coppock

Department: Mathematics

Optimal Placement of Family Planning Centers, Kiera Dobbs

Department: Mathematics

Bees in the Trap: A Mathematical Approach to Modeling the Mutualism between Flowering Plants and Honey Bees, Katelyn R. French

Department: Mathematics

Shooters vs Goalies: Analyzing Shootouts in the NHL with Game Theory, Jeffrey W. Giegold

Department: Mathematics

The Ineffability of Nothingness, Melissa M. Griffith

Department: Mathematics; Philosophy

Hall of Fame Classification Using Logistic Regression Analysis, Robert P. Handloser

Department: Mathematics

The Extra Point Rule Change and its Effects on Decision-Making for Coaches in the NFL, Lucas J. Hunt

Department: Mathematics

Holding Hands Against the Unknown: Using Markov Chains to Model Informal Insurance Arrangements in Developing Societies, Sayantan Mitra

Department: Economics; Mathematics

Legalization of Prostitution and its Impact on the Market for Human Trafficking, Varunavi Newar

Department: Business Economics; Mathematics

Dirichlet Tessellations, Nakesha Newsome

Department: Mathematics

An Experimental and Mathematical Study of Avalanche Behavior in a Critical Conical Bead Pile, Paroma Palchoudhuri

Department: Mathematics; Physics

An Experimental and Mathematical Study of Avalanches in a Critical Conical Bead Pile, Paroma Palchoudhuri

Department: Mathematics; Physics

An Investigation of the Burning Number of Graphs and Trees, Michael Sokolich

Department: Computer Science; Mathematics

To Blend or Not To Blend: Understanding the Impact of Technology in Mathematics Education, Jacob Solomon

Department: Education; Mathematics

#### Senior Independent Study Theses from 2015

Glory, Glory Fan United!: A study of the relationship between fan loyalty and team performance in English Premier League Football, Priyanka Datta

Department: Business Economics; Mathematics

An Examination of the Golden Ratio in Nature and Music, Marjorie Rose E. Etheridge

Department: Mathematics

The Cost of a Child: A Bayesian Model of the Fertility Decision of Women in Academia, Christine Hagan

Department: Mathematics

Conquering Carcassonne, Andrew E. Hoover

Department: Computer Science; Mathematics

To Flip or Not to Flip? A Study of the Effectiveness of the Flipped Classroom Model for Teaching Mathematics, Lindy Howard

Department: Education; Mathematics

Matrix-Analytic Methods in Queueing Theory, Anqi Huang

Department: Mathematics

Beyond ß: An Analysis of Alternative Risk Measures, Jai Kedia

Department: Business Economics; Mathematics

Modifying the Virasoro-Shapiro Amplitude to Correspond to the Glueball Trajectory, Brian Forrest Maddock

Department: Mathematics; Physics

Modeling Crime Using Social Interaction, Daniel Patrick Miller

Department: Mathematics; Economics

XH-π bonding in systems of indole and benzene using IBBCEAS and a bioinformatics analysis of protein secondary structure using graph theory, Meredith Schervish

Department: Chemistry; Mathematics

Set Theory: Building Numbers From Nothing, Philip H. Sizek

Department: Mathematics

I Don't Play Chess: A Study of Chess Piece Generating Polynomials, Stephen R. Skoch

Department: Mathematics

Topological Defects in Nematic Liquid Crystals and the Behavior Induced by Adding Polystyrene Microspheres to 5CB, Joseph R. Smith

Department: Mathematics; Physics

Solitons and their Symmetries: A Mathematical Analysis, Amanda Lynn Steinhebel

Department: Mathematics; Physics

Stopping Segregation: Using a Mathematical Model to Racially Balance Schools in the 1970s, Paula Trautvetter

Department: Mathematics

The Mental Game: An Analysis of Game Theory and Baseball, Ian M. Vernier

Department: Mathematics

Avalanches on a Critical Conical Bead Pile: Exploration of Tuning Parameter Space and Mathematical Foundations, Elliot Wainwright

Department: Mathematics; Physics

The Scope of Fractals: Geometry, Iteration, Application, Sebastian E. Weber

Department: Mathematics

The Use of Data and Statistical Analysis to Predict an Outcome, Colin G. Woodward

Department: Mathematics

Vector Space Modeling: An Intuitive Approach to Information Retrieval, Gregory R.P. Yerkes

Department: Mathematics

#### Senior Independent Study Theses from 2014

The Black-Scholes Options Pricing Model and its Implications on the Underlying Security Market, Steven D. Hagen

Department: Business Economics; Mathematics

Airline Fleet Assignment, Sheharyar Khushnood

Department: Mathematics

Twitter Can Predict Stocks, Kazuki Kyotani

Department: Computer Science; Mathematics

Mistletoe Marketing: An Analysis of How Christmas Stimuli Affects Consumer Behavior, Julia M. Land

Department: Mathematics

Creation of a Mathematical Model and Investigation of the Kinetics of the Reaction Between the Oxalic Acid Species and the Hydroxyl Radical, Sarah M. Laper

Department: Chemistry; Mathematics

Modeling For Our Lives: A Theoretical Study of HIV/AIDS Epidemiology Through Mathematical Modeling, Jacob N. Malone

Department: Mathematics

Applying Markov Chains to Baseball, Jarrod A. Mancine

Department: Mathematics

The Analytic Hierarchy Process: A Mathematical Model for Decision Making Problems, Giang Huong Nguyen

Department: Mathematics

Generalist and Specialist Pollination Syndromes: When are they Favoured? A Theoretical Approach to Predict the Conditions Under which a Generalist or Specialist Pollination Syndrome is Favoured., Tyler L. Poppenwimer

Department: Biology; Mathematics

Don't Get Boxed In: Connecting the Dots of Game Theory Through Computer Simulations, Trevor L. Pozderac

Department: Computer Science; Mathematics

Analysis of Factors that Influence the Probability of a Goal in the National Hockey League, Josephine Rey

Department: Mathematics

Ranking Systems and Their Applications to Sports, Michael A. Ries

Department: Mathematics

Clarifying Chaos: A Look Into Chaotic Dynamical Systems, Mary Sefcik

Department: Mathematics

The Soviet War in Afghanistan and the Application of U.S. Special Forces: a Combat Analysis, Zachary M. Sessa

Department: Mathematics; Russian Studies

Go with the Flow: Developing Computational Fluid Dynamics Simulations According to the Navier-Stokes Equations, Danielle Shepherd

Department: Mathematics; Physics

Universe From Scratch: Exploring Quantum Gravity in 2+1 Dimensions using the Causal Dynamical Triangulation method, Prakrit Shrestha

Department: Mathematics; Physics

Problem-Based Learning in Early Childhood Mathematics Education, Kelly Simmons

Department: Mathematics

Keeping Your Options Open: An Introduction to Pricing Options, Ryan F. Snyder

Department: Mathematics

Markov Chain Theory with Applications to Baseball, Cal D. Thomay

Department: Mathematics

A Bayesian Model of Fertility Decisions in Relationship to Female Labor Force Participation, Rebecca C. Wardrop

Department: Economics; Mathematics