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Browsing Mathematics Senior Integrated Projects by Author "Barth, Eric J., 1964-"
Now showing items 1-20 of 29
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An Analysis of the Optimal Presentation of Cauchy's Integral Theorem
(Kalamazoo College, 2006)While this paper is mostly experiential, there will be a small research portion that will also be addressed. In this paper, I will talk about the work that I did over the summer with Dr. Eric Barth, along with the research ... -
Approximating Free Energy Surfaces
(Kalamazoo College, 2006)This paper discusses the reformulation of an old problem in new terms. While configurational transitions have been traditionally explored using the concept of potential energy, we now look to interpret these transitions ... -
Building a Sales Calculator
(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 ... -
A Climatological Investigation of Global Dimming at Blue Hill Observatory, Milton, MA
(Kalamazoo College, 2008)Although much less heralded than global warming, global dimming is an equally remarkable and important climataological phenomenon. Throughout a majority of the second half of the 20th century a widespread and significant ... -
A Clinical Study of an Automated Regional Citrate Anticoagulation Protocol in Patients with Severe Renal Failure
(Kalamazoo College, 2010)Regional citrate anticoagulation (RCA) in sustained, low-efficiency, dialysis (SLED), has been found to be a more safe and effective alternative to hemodialysis. The Division of Nephrology and Hypertension at Henry Ford ... -
Developing Software for Audio to Music Score Conversion
(Kalamazoo College, 2018)The idea of converting audio to music score provides a fascinating perspective of perceiving the music. As the amateur or folk musicians, they may want a more productive music application that can help them create music ... -
Ecosystem Modeling : Stability and the Effects of Perturbations on an Ecosystem : Example : Analysis of the Terrestrial Carbon Sequestration Compartment Model
(Kalamazoo College, 2000)My research in the "Ecolab" in the Department of Botany and Microbiology consisted mainly of learning the concepts of system theory and analysis, which I will explain in much more detail throughout the paper. More generally, ... -
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 ... -
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, ... -
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 ... -
Extensions of the Mean Value Theorem on the Real Line and the Complex Plane
(Kalamazoo College, 2018)The goal of this SIP is to first analyze just a few of the many extensions to the Mean Value Theorem that have been proven in recent decades. This analysis follows a common structure that starts with stating each theorem ... -
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 ... -
Fringe Pairs in Generalized MSTD Sets
(Kalamazoo College, 2016)A More Sums Than Differences (MSTD) set is a set A for which |A+A|j > jA - A|. Martin and O'Bryant proved that the proportion of MSTD sets in {0, 1,…, n} is bounded below by a positive number as n goes to infinity. We ... -
Generalizations of the Tonnetz
(Kalamazoo College, 2012)In this paper, we attempt to explore mathematical structures of tonal music from the 18th and 19th centuries. We review the known mathematical/musical structures and, noting lacking features of this geometrical construct ... -
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, ... -
Investigating Conformation Changes of Alanine Dipeptide and Cyclosporin A using Molecular Dynamics
(Kalamazoo College, 2003)This paper discusses the process of drug discovery and the role played by molecular dynamics. Following the general discussion in terms of spring-mass systems and a Lennard-Janes cluster, the properties of two molecules ... -
Mathematics Education Foundations : Developing Math Materials for Students and a System for Peer-Educators
(Kalamazoo College, 2023-01-18)Learning mathematics is hard, and learning college mathematics is made even harder by textbooks which are primarily used as vessels for homework exercises. These two facts motivated my Senior Integrated Project (SIP) or ... -
Methods for Path Optimization in Biomolecules
(Kalamazoo College, 2004)Path optimization can be a very important tool in many aspects. It can be used in many different fields of study for many different types of path. In general, path optimization involves improving a path according to a ... -
Modeling Vibrating String Wave Forms
(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 ... -
Numerical Tools for Describing Musical Compositions
(Kalamazoo College, 2012)The goal of this paper is to apply the methodologies of statistical mechanics to develop flexible tools for use in computational musicology. Classical statistical mechanics is the study of extremely information-rich ...
