Browsing Mathematics Senior Integrated Projects by Title
Now showing items 120 of 274

The 1984 Analysis and Evaluation of the Fuel Consumption Along the Southeast Main Line and Tie Line
(Kalamazoo College, 1985)For the past six months, I have worked at the headquarters for the ANR (American Natural Resources) Pipeline Company in Detroit, Michigan. During my internship in the Operations Improvement Department, I worked on the ... 
Airflow Behavior in Neumann's Boundary Problem: Analytical and Numerical Solutions
(Kalamazoo College, 1996)I spent seven weeks at Carnegie Mellon University participating in a Research Experience for Undergraduates. Dr. Steven Shreve, director of the Center of Nonlinear Analysis at CMU, ran the program along with several other ... 
Algorithmic Methods for Computing Monomial Invariants of Abelian Groups
(Kalamazoo College, 20220601)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 ... 
Algorithms
(Kalamazoo College, 1966)This paper is concerned with the general problem of theorem proving within a first order predicate logic. The topic was chosen as a result of simultaneous but separate interests in symbolic logic and Computer sciences. ... 
An Analysis of Accelerated Remedial Mathematics Education for 9th and 10th Grade Students
(Kalamazoo College, 2000)The author describes his experiences teaching a summer mathematics class with Upward Bound and focuses on the challenges of accelerating a course for remedial students. 
Analysis of Sales Territories at The Upjohn Company
(Kalamazoo College, 1986)The author interned at The Upjohn Company and presents part of her work in the form of a company memo. The project uses SAS software to analyze trends involving market share among small and large sales territories in respect ... 
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 ... 
Ant Covered Brownies: A Math Education Field Study
(Kalamazoo College, 2013)During the summer of 2012, I spent eight weeks in Puerto Baquerizo Moreno on the island of San Cristobal, Galapagos, Ecuador. My purpose was to work with the Ministry of Education on a project aimed to prepare the local ... 
An Application of Algebraic Topology to Multiprocessor System Science
(Kalamazoo College, 2010)The goals of this paper are to provide an introduction to the field of mathematics known as Algebraic Topology, to build skills in that field; and to show how to apply them to the field of Computer Science. This paper ... 
An Application of Differential Geometry to the Study of Several SimpleSurfaces
(Kalamazoo College, 1984)The analyses of the surfaces presented in this paper were done as part of an independent study project in differential geometry which I undertook during the Fall of 1983. By applying several basic concepts of differential ... 
An Application of the Elo Rating System to Professional Baseball
(Kalamazoo College, 1978)The intent of this project is to apply a widely used rating system to a professional team sport situation and then compare its performance with either less sophisticated methods. The system to be used is the one developed ... 
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 ... 
An Attempt to Meet the Needs of RealTime Statistical Process Control
(Kalamazoo College, 1990)A Monte Carlo simulation was created to determine the effectiveness of seven different control chart schemes that were being considered as solutions to the problems faced at the Romeo Engine Plant. It was quite obvious ... 
The Automorphism Groups of Graphs
(Kalamazoo College, 1978)We have shown that to identify a generating set of the automorphism group of a graph with n vertices, we only need to test the circlical nonseparable basic permutations of Sn that do not consist of a single cycle of order ... 
Bases for Integer Generalized Splines on Graphs, an Investigation
(Kalamazoo College, 2017)Let R be a ring and G a graph whose edges are labeled by ideals of R. A vertex labeling of G by elements of the ring is called a generalized spline if for each edge, the difference of the labels of the two connected vertices ... 
Building a Sales Calculator
(Kalamazoo College, 20211101)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 ... 
Bursting Oscillations along the Axon of a Neuron
(Kalamazoo College, 1993)The body transfers electrical signals from one part to another by means of neurons. The first relatively complete mathematical model of nerve conduction was published by Hodgkin and Huxley. They. subsequently won the ... 
Calculating Equivariant Homotopy Groups
(Kalamazoo College, 2003)The study of algebraic invariants of topological spaces is an important part of topology. We find, for example, that the problem of distinguishing spaces from each other can often be answered by examining homotopy gro ... 
Characteristic Behavior of Dynamics on the Interval : From Cycles to Chaos
(Kalamazoo College, 2000)Presents examples and proofs for the Tent Map, with Periodic Points, Chaotic Points, and Inverse Limit Spaces. 
A Characterization of the Irreducible Representations of the Group of Rotations
(Kalamazoo College, 1973)The theory of group representation is a powerful synthesis of the properties of matrices and groups. It was developed at the turn of the century by the German mathematician F.G. Frobenius. Several contributions were also ...