Browsing Mathematics Senior Individualized Projects by Title
Now showing items 7998 of 249

Gastrointestinal Permeability of Model Solutes and Halofuginone in the 714 Day Old Chicken
(Kalamazoo College, 1991)In this study, we developed a useful method for determining the absorption kinetics of model permeants and coccidiostats in the chick intestine. The transport barrier of the aqueous boundary layer was quantified and ... 
Gaussian Quadrature
(Kalamazoo College, 1971)There are many such formulas that can be found in any book on numerical methods. However, in this paper, I have dealt only with those quadrature formulas whose abscissae and weight coefficients are not subject to any ... 
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 ... 
Generalizations of the Ø and µ Functions
(Kalamazoo College, 1969)If you are not a current K College student, faculty, or staff member, email dspace@kzoo.edu to request access to this SIP. 
Generalizations of Triangle Relations to Spherical and Hyperbolic Geometry
(Kalamazoo College, 2018)We generalize relations known in Euclidean geometry to spherical and hyperbolic geometry. First we prove a theorem which produces analogues for certain Euclidean inequalities involving a triangle's circumradius, inradius, ... 
Generalized Linear Mixed Models for Putting Performance on the PGA Tour
(Kalamazoo College, 2015)In golf, putting is considered to be the single most important aspect of the game. With approximately 40 percent of total strokes having been putts in 2013 on the PGA TOUR, it is obvious that putting performance is a ... 
A Generalized Program in Numerical Analysis
(Kalamazoo College, 1965)The first section, "Use of the Program", describes how to do various types of problems with the program. It is written for a person with a minimal knowledge of computer operation and no knowledge of programming. The ... 
Geographic Variation in Healthcare Costs : A Statistical Analysis and Review
(Kalamazoo College, 2014)Geographic variation in the costs of healthcare exists at both the national and regional levels. Studies have shown that the differences in healthcare spending and costs across the United States do not result in better ... 
Geometry on the Surface of the Sphere
(Kalamazoo College, 1984)This paper was originally intended to serve as one section of a larger project designed to assist Dr. Juliet Vogel in her study of mathematically gifted children. Under the notion that mathematically gifted students may ... 
Georg Cantor's MathematicalPhilosophical Theory: Selected Translated Excerpts
(Kalamazoo College, 1970)The three essays that form the body of this paper were translated (from the German) as they appear in Georg Cantors Gesannnelte Abhandlungen (Cantor's collected works), edited by E. Zermelo (page·s 171183, 370377, 440442, ... 
A Gernalized Questionnaire Analyzer Program Specifically Used for the Danforth Study
(Kalamazoo College, 1967)In doing this this thesis I had the privilege of working with the Danforth Foundation in its evaluation of the total experience derived at Kalamazoo College. The greater emphasis was placed on the four years of academic ... 
Grid Networks: The New Computing Infrastructure
(Kalamazoo College, 2002)Grid networks are an evolutionary descendant of both parallel and cluster computing architectures. They have much in common with the electric grid in that processing power is designed to be distributed ubiquitously within ... 
The Group of Recursive Amorphisms of the Universal Random Graph
(Kalamazoo College, 1991)The random graph is an interesting mathematical structure which was discovered by Renyi and Erdos in 1963. The group of the automorphisms of the random graph was studied in depth by Truss in 1985 and turns out to be ... 
Group Representation Theory, Molecular Dynamics, and Vibrations of the Bucky Ball
(Kalamazoo College, 2000)The Bucky Ball, i.e. C60, shaped like a soccer ball, has a great number of symmetries. As it turns out, the symmetries of a structure are intimately linked with its normal modes. After finding these symmetries, we can then ... 
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 ...