Browsing Mathematics Senior Individualized Projects by Title
Now showing items 94113 of 254

A GroupTheoretical 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 grouptheoretical models. Drawing from existing neoRiemannian literature and its mathematical/musical structures, ... 
Hillslope Runoff Through Grids of Patchy Vegetation: Predictions Using Modified Percolation Theory
(Kalamazoo College, 1997)In pinonjuniper woodland sites, rapid transitions from low to high rates of hillslope runoff and erosion rates appear to occur with changes in ground cover. We use modified percolation equations, which have been used ... 
Historical Inquiry: The SaccoVanzetti Case
(Kalamazoo College, 1969)A legacy of the SaccoVanzetti case to society was its demonstration that there existed a cleavage in it. Was the separation along Marxian lines? Some saw it that way. The real line, however, was between those who had ... 
A History of Some Polynomial Equations
(Kalamazoo College, 1965)This paper is an historical tracing of the beginnings of certain mathematical ideas through Greek, Indian, Muslim, Italian, and finally modern European mathematics. Not in the least sense is part of mathematics studied ... 
How Do We Make Math More Important? Confronting Issues in the Education of Mathematics in the Galapagos Islands
(Kalamazoo College, 2003)Due to various amazing factors, I was privileged enough to spend my summer of the year 2002 on Santa Cruz of the Galapagos Islands, where I worked with the local education system and all of its members to improve upon ... 
Impact of Averaging Period on a MediumScale Wind Turbine Power Curve and Prediction of Annual Energy Production
(Kalamazoo College, 2016)A reliable method for the prediction of Annual Energy Production is necessary for the United States to achieve its goal of 20% wind energy by 2030. Along with the pressure to reduce error in energy yield prediction is the ... 
The Importance of Rigor in the High School Mathematics Curriculum for Success at the College Level
(Kalamazoo College, 2011)Following the implementation of the Kalamazoo Promise, the city of Kalamazoo was seeing a new population of students going to college. Students who otherwise may not have had the opportunity to attend. With this came ... 
Impossible Spaces and Rendering Algorithms
(Kalamazoo College, 2009)The methods discovered in this project could lend themselves artistically in both digital and live applications in visual media to create several interesting illusions. These illusions can be used to simply create confusing ... 
Improving User Interfaces During Development
(Kalamazoo College, 2002)20 years after the introduction of the personal computer, novice computers users are still experiencing software usability problems. Most usability problems are difficulties with the user interface. One possible solution ... 
In the Land of Linear Algebra : A Cartoon Coursepack
(Kalamazoo College, 20121212)A coursepack, in cartoon form, to supplement any introductory linear algebra course or textbook. 
An Indepth Analysis of Patient Experience : What Patients Expect Most in Their Healthcare
(Kalamazoo College, 20190901)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 ... 
Infinity
(Kalamazoo College, 1971)In this paper we will trace the changing notion of infln1ty throughout Western thought. In the first part ideas from both mathematics and philosophy wl11 be brought together, for often in discussions on infinity the ... 
Information Theory
(Kalamazoo College, 1967)This is a purely expository paper. The concepts come primarily from Shannon's intuitionbased proofs and Khinchlo's more rigorous ones; all definitions come from these sources. Intermediate steps and some short proofs ... 
Information Theory and the Genetic Code
(Kalamazoo College, 196804)Every organism is built from a complex set of instructions coded as a sequence of the four different nuoleotides of the DNA molecule. These genetic instructions have evolved for a period of three billion years until today ... 
Inpatient Revenue Model of Bronson Methodist Hospital
(Kalamazoo College, 1975)The revenue model of the hospital is a collection of computer programs which is designed to enable a prediction to be made concernng inpatient revenues on the bases of a patient mix for the period being considered and ... 
Input Output Economics: Studies of Leontief's Mathematic / Economic Models
(Kalamazoo College, 1991)The inputoutput model may be used to predict the economic future. With just two or three educated guesses to modify the technical tables of the model, reasonably accurate results about the future may be found. Although ... 
The International Marketing Promotion Allocation Workshop: An Internship at The Upjohn Company
(Kalamazoo College, 1984)My project while at Upjohn was to design a computer simulation game for Ian Stockdale, Hospital Marketing Manager, and David Harmelink, Product Manager, of the International Marketing Planning unit. The game is basically ... 
Internship Report on the CaltechJPL Concurrent Computation Project
(Kalamazoo College, 1985)During the fall quarter of 1985 I worked at Jet Propulsion Laboratory (JPL) as a computer technician. In my section there were both 'hardware people' and 'software people'. I fell into the latter category. During my ... 
Introduction to Complex Analysis
(Kalamazoo College, 1974)This paper covers all material in the first twothirds of the yearlong course in basic complex variables taught by Dr. Stoll at the University of Notre Dame. It was wrltten from two sets of lecture notes: one set written ... 
An Introduction to Nonstandard Analysis
(Kalamazoo College, 1996)