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Mathematics Senior Integrated Projects
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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.
All materials in the Kalamazoo College Digital Archive are subject to Title 17 of the U.S. Code. All rights reserved. Unless otherwise stated, authors retain the copyright for all content posted to the Kalamazoo College Digital Archive.
Recent Submissions
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The Promise and Peril of Database Technology in American Public Healthcare
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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 ... -
Vector Marketing A Case Study In Queueing Theory
(Kalamazoo College, 2020-04-01)At some point in your life, you will have to wait in a line to receive a service. It could be waiting to pump gas at the gas station or waiting in the college bookstore to return your books at the end of the semester. It ... -
Fast Fourier Transformation in Noise Reduction in Audio Recording
(Kalamazoo College, 2019)Ambient noise is always unwanted during the professional recording whether is speech or instrument. Signal-processing by Fourier Transformation can play a vital role in greatly reducing the ambient noise in the recording ... -
A Group-Theoretical Approach to Voice Leading in Tonal Music
(Kalamazoo College, 2015)In this paper, we will attempt to explore the underlying mathematical structures in tonal music through group-theoretical models. Drawing from existing neo-Riemannian literature and its mathematical/musical structures, ... -
Tonnetz and Beyond : In Search of Functional Representations of Harmonic Structures through Algebra and Geometry
(Kalamazoo College, 2015)In this paper, we wish to explore underlying mathematical structures of tonal music with the use of group theoretic and geometric models. We will begin by examining trends in the current literature on the subject in attempts ... -
Exploring the Effects of Socioeconomic Status on Student Learning : A Series of First-Hand Experiences
(Kalamazoo College, 2014)The following essays are based on my first-hand experiences interacting-as a teacher, mentor, tutor, and friend- with children and young adults. Before I started writing these essays, I knew I wanted to write about my ... -
Senior Individual Project : Harmonic Analysis
(Kalamazoo College, 2018)The purpose of this research paper is to analyze the harmony in musical works and to find the harmonic similarity between each Bach’s Suites. Usually, harmonic analysis is done by hand, but in this research, we want to use ... -
Construction of Convex Ideal Polyhedra in Hyperbolic 3-Space
(Kalamazoo College, 2019)The purpose of this project is to provide a method to construct a convex ideal polyhedron in hyperbolic 3-space given a set of internal dihedral angles that belong to a unique convex ideal polyhedron up to isometry. Thorough ... -
Exploration of the Laplace Transform
(Kalamazoo College, 2019)The author designed a Physics lab using the Laplace Transformation to be used in Dr. Tom Askew’s Physics 370 class. The Laplace Transform gives us another option when it comes to solving differential equations. In short, ...
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