Senior Seminar
As an art and a science, mathematics occupies a special place in the Saint Xavier University curriculum. It serves as an investigative tool for the natural sciences, business, education and social sciences. It also plays an important role in the development of human thought. Mathematics forms a bridge whereby the student enters the realm of abstract and precise scientific thinking.
Math 399 Senior Seminar
The purpose of the senior seminar is to provide a culminating experience for Mathematics majors, Actuarial Science majors, and Mathematics/Secondary Education majors.
The student will conduct research on an advanced mathematical topic with guidance from a faculty mentor, prepare a paper, create a poster, and give a presentation based on the research to Math Department faculty, students, and the community.
Spring 2020 | |
Michal Szlachta Research Topic: Graph Theory: From Euler to Google Mentor: Dr. Kristen Schreck |
Jacob Wasik Research Topic: Geographic Information Systems Mentor: Dr. Kurt Sheu |
Past Senior Seminar Projects | |
Spring 2019 | |
Amanda Asfour Research Topic: Systems of Integral Equations by Adomian Decomposition Method Mentor: Dr. Abdul Wazwaz |
Rene Haskins Research Topic: The Complexity of the Quadratic Sieve Mentor: Dr. Nikki Pitcher |
Justin Hunniford Research Topic: Fractals: Looking into the Koch Snowflake, Dragon Curve, and Apollonian Gasket Mentor: Dr. Jaclyn Murawska |
Kevin Langland Research Topic: Stokes' Theorem and the Surface Area of Geographic Regions Mentor: Dr. Nikki Pitcher |
Adrian Marquez-Mata Research Topic: General Carpet Fractals and Fractal Dimension Mentor: Dr. Kristen Schreck |
Maggie Stimac Research Topic: The Fibonacci Sequence and its Relationship with the Golden Ratio Mentor: Dr. Jaclyn Murawska |
Ryan Woods Research Topic: Nonparametric Solutions with MLB Analysis Mentor: Dr. Arunas Dagys |
Poster and Picture Gallery |
Fall 2018 | |
Caroline Ciezczak Research Topic: Modular Arithmetic: Exploring Clocks, Quilts, Equations, and Tables Mentor: Dr. Jaclyn Murawska |
Zachary Kahn Research Topic: Public-Key Cryptography and Its Hidden Past Mentor: Dr. Nikki Pitcher |
Christine Labudiong Research Topic: Exploring Knot Theory Mentor: Dr. Kristen Schreck |
John Lahart Research Topic: Time Series Analysis Mentor: Dr. Arunas Dagys |
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Edvardas Simonelis Research Topic: Analyzing Multiple Regression Model Mentor: Dr. Arunas Dagys |
Senior Seminar Highlights - Fall 2018 |
Spring 2018 | |
Joseph An Research Topic: The Laplace Transform Mentor: Dr. Arunas Dagys |
Joseph Bailey Research Topic: Visualizations and Models in Non-Euclidean Geometry Mentor: Dr. Kristen Schreck |
Ashley Linstra Research Topic: The Mathematics behind Global Positioning System Mentor: Dr. Ahmad Mojiri |
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Fall 2017 | |
Thomas Higgins Research Topic: Linear Codes and Syndrome Decoding Mentor: Dr. Nikki Pitcher |
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Spring 2017 | |
Omar Diaz Research Topic: Press to Play: Game-Based Learning Mentor: Dr. Jaclyn Murawska |
Marilyn Gellert Research Topic: Optimization Methods in Business Applications with 3D Printing Mentor: Dr. Kristen Schreck |
Fall 2016 | |
Jessica Salgado, Johnathan Burch, Robin Prokaski, Sarah Egan, and Caitlin Christ | Courtney Correa |
Research Topics
Johnathan Burch: Twenty-Five Point Affine Geometry
Mentor: Dr. Kristen Schreck
Caitlin Christ: Variational Iteration Method for Solving Linear and Nonlinear Ordinary Differential
Equations
Mentor: Dr. Abdul-Majid Wazwaz
Courtney Correa: The Calculus of Running
Mentor: Dr. Kristen Schreck
Sarah Egan: Cryptography
Mentor: Dr. Nikki Pitcher
Robin Prokaski: Baseball and Statistics
Mentor: Dr. Arunas Dagy
Jessica Salgado: A Mathematical Examination of Characteristics and Specific Types of Fractals
Mentor: Dr. Jaclyn Murawska