This collection includes Senior Integrated Projects (SIP's, formerly known as Senior Individualized Projects) completed in the Mathematics Department. Abstracts are generally available to the public, but PDF files are available only to current Kalamazoo College students, faculty, and staff. If you are not a current K College student, faculty, or staff member, email us at dspace@kzoo.edu to request access to this material.

Recent Submissions

  • Algorithmic Methods for Computing Monomial Invariants of Abelian Groups 

    Rizzolo, Lucas (Kalamazoo College, 2022-06-01)
    Given some arbitrary polynomial ring, an invariant polynomial is a polynomial that is unchanged by the action of a group G. We investigate the ring of invariant polynomials under the action of some abelian groups with the ...
  • Topic Modeling and its Applications 

    Devine, Nolan (Kalamazoo College, 2021-11-01)
    The amount of data online is growing rapidly, and while most people think about numbers when they hear data, there is a huge amount of textual data available that can prove to be useful. Analytics involving numbers has ...
  • The Data of Community Safety 

    Butters, Ruth T. (Kalamazoo College, 2022-03-01)
    One way communities can keep each other safe is through being informed. This writ- ten report explains the background, process, and purpose behind the interactive web- page, Data of Community Safety, found at https://rut ...
  • A National Assessment of Racial Disparities in Prehospital Pain Management by Paramedics 

    Fales, Thomas "Jake" (Kalamazoo College, 2022-03-01)
    The United States has a pervasive history of racism ingrained into the fabrics of many American institutions, including healthcare. The goal of this project is to utilize statistical methods to examine nationwide racial ...
  • Building a Sales Calculator 

    Gibson, Levon (Kalamazoo College, 2021-11-01)
    The goal of this paper is to provide insight on what a Sales calculator built for a company that sells Consumer Processed Goods Ads does and what it looks like. This paper contains figures and equations that show what it ...
  • Roots and Derivatives in the Complex Plane 

    Saxton, Thomas J. (Kalamazoo College, 2021-11-01)
    In this paper, we explore the relationships between roots and derivatives in the complex plane. Unfortunately, there exists no one-size-fits all solution like Rolle’s Theorem which describes the relationship between solutions ...
  • Modeling Vibrating String Wave Forms 

    Palacios, Ella M. (Kalamazoo College, 2022-03-01)
    This project is aimed to construct a simplified, but justifiable model, for vibrating strings so that we are able to explore questions related to musical instruments. We begin with solutions to the 1-dimensional wave ...
  • Logistic Regression Analysis: Predicting Match Outcomes In Professional Tennis 

    Johnson, Casey (Kalamazoo College, 2021-11-01)
    In this SIP project, A logistic regression model is created in Rstudio to predict the outcomes of professional tennis matches solely based on one player's performance. Statistics were collected about every grand slam tennis ...
  • The Promise and Peril of Database Technology in American Public Healthcare 

    Browne, Irie B. (Kalamazoo College, 2021-12-01)
    Preventative medicine is an integral part of quality healthcare, and one way it can be supported is through federal funding. AllCare Health, a local branch of Medicaid located in Southern Oregon, has integrated a new program ...
  • Professor Effects on Student Trajectories : a Statistical Data Analysis in R 

    Tucker, Ethan (Kalamazoo College, 2021-04-01)
    Parameters quantifying the quality of instruction can be difficult to come across. One commonly used measure comes from course evaluations, which are largely subjective reviews that pertain to personality in conjunction ...
  • Coxeter Groups and the Bruhat Order 

    Johnston, Lisa (Kalamazoo College, 2021-01-01)
    In an introductory course on abstract algebra, one will learn about algebraic structures that are seen in many areas of mathematics. In particular, the study of groups include finitely generated groups, the dihedral group, ...
  • Experiential Senior Individualized Project as a Global Markets Summer Analyst at Nomura Securities International 

    Gawa, Rukudzo N. (Kalamazoo College, 2020-11-01)
    Throughout the summer, I was able to learn about Nomura itself, beginning from its vast client base to its large amounts of assets under management. I was able to learn about the main businesses within Nomura from Asset ...
  • Coding Theory Analysis : an Algebraic Analysis on Linear Block Codes with Application 

    Wang, Yueyang (Kalamazoo College, 2021-02-01)
    This paper has discussed the linear block codes from an algebraic approach. Linear block codes are created to solve the noisy channel problem in communication, and they are characterized by their specific error-correcting ...
  • Poisson and Gamma Models for Predicting Bundesliga Results 

    Kaczor, Isaac (Kalamazoo College, 2020-11-01)
    Soccer is unpredictable. Picking the winner of a soccer league has many variables that affect the final standings, from the performance and health of the individual players, to the environment and timing of games, to the ...
  • On Mutually Unbiased Bases and Hadamard Matrices : An exploration from quantum mechanics to number theory 

    Qin, Daniel (Kalamazoo College, 2021-05-03)
    The goal of this paper will be to study the behavior of mutually unbiased bases in complex dimensions by looking at equivalent objects that preserve the mutually unbiasedness property. Of the many equivalent objects, this ...
  • The Importance of Data Visualizations for the Identification and Reduction of Racial Disparities in Michigan Counties’ Infant Mortality Rates 

    O'Keefe, Abigail (Kalamazoo College, 2020-11-01)
    Infant mortality rate is a measurement of the number of infant deaths in a community, and it is an important rate to record as it is used to assess the health of a community. In the state of Michigan for the year 2018, the ...
  • Modern Geometrical Optics 

    Katrantzi, Maria (Kalamazoo College, 2020-02-15)
    Optics is the scientific study of light. There are three different ways to describe light, with each of the descriptions having a separate branch of optics: geometrical, physical, and quantum. In this paper, we will examine ...
  • R Shiny Application for Energy, Gas, and Water Consumption Data at Kalamazoo College 

    Ward, Madeline R. (Kalamazoo College, 2020-01-01)
    Climate action plans are useful tools that help institutions reduce carbon emissions and support environmentally sustainable initiatives. An increasing prevalence of data collection, which is tidied and analyzed using data ...
  • An In-depth Analysis of Patient Experience : What Patients Expect Most in Their Healthcare 

    Bailey, Harper (Kalamazoo College, 2019-09-01)
    The healthcare system is designed to maintain or improve the status of a patient’s health. In order for healthcare organizations to know if they are meeting their goals and intended purpose, they need patient feedback ...
  • Constructing and Generating Surreal Numbers Using the Day Structure 

    Barkume, Cecilia (Kalamazoo College, 2020-04-01)
    The aim of this paper is to understand and interpret the work with constructing surreal numbers, and the consequences of the axioms that create them. This paper is written as an introduction to the topic and a dissection ...

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