Mathematics
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Mathematics Department Documents [1]
This collection includes documents from the Kalamazoo College Department of Mathematics. 
Mathematics Senior Individualized Projects [234]
This collection includes Senior Individualized Projects (SIP's) completed in the Mathematics Department. 
Mathematics Syllabi [0]
This collection contains syllabi from the Mathematics Department.
Recent Submissions

Symbolic Computation with Maxima
(Kalamazoo College, 2017)The author describes a project created in Maxima, successfully fixing the bug that first inspired this project. The result product residue m() also has some new features that enable it to handle much more complicated ... 
An Introduction to the Statistical Bootstrap : Examining Confidence Intervals Using Flight Delay Data
(Kalamazoo College, 2017)Bootstrapping is an important resampling method with the ability to provide statistical inference with fewer assumptions then most other statistical inference methods. Bootstrapping can be more accurate than classical ... 
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 ... 
A Summer of Quality Control at Bell's Brewery
(Kalamazoo College, 2017)The author spent the summer of 2016 as an intern at Bell's Brewery in Comstock. Michigan, working within their quality control lab as the statistical quality control intern. Working under quality lab lead Lauren Torres and ... 
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 ... 
A Quantitative Modeling of Rushing Ability in the NFL
(Kalamazoo College, 2016)In professional football, rushing has often been considered one of the most important aspects related to moving the ball on offense. In the past, the ability of rushing players has been measured strictly by the number of ... 
Fringe Pairs in Generalized MSTD Sets
(Kalamazoo College, 2016)A More Sums Than Differences (MSTD) set is a set A for which A+Aj > 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 ... 
The Student Affairs Perspective : Looking at Underrepresented Students in STEM Through a Different Lens
(Kalamazoo College, 2016)The education gap in STEM is a growing national concern in the United States. With the growing emphasis on STEM skills in the workplace, it is more important than ever that we figure out how to support diverse students in ... 
A New Shape to the RUG : Further Exploration of the Region Unknotting Game
(Kalamazoo College, 2016)A region crossing change is an unknotting operation on a knot diagram. In the past, knot games have been used to demonstrate and discover properties of families of knots. We will find winning strategies of knot games to ... 
The Mapper Algorithm for the Qualitative Analysis of Drug Molecules
(Kalamazoo College, 2015)The world of computational drug design has seen tremendous progress in the last 40 years. Most of these methods rely on quantitative techniques through quantitative structure activity relationships. This approach works ... 
Creation and Evaluation of Probability Models for March Madness
(Kalamazoo College, 2016)For years, the NCAA Tournament has fascinated fans due to its unexpected outcomes. For this reason, an accurate prediction of the tournament bracket is considered to be a very respectable accomplishment. As a result, ... 
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 ... 
WebScraping : How Charlotte Is A Life Saver Again
(Kalamazoo College, 2014)The demand for information is ever increasing. While some have the privilege of accessing private data, others look for ways to collect information from where anyone could visit: the Internet. On the Internet, there is ... 
Risk Factors for Cardiovascular Disease Among Patients Presenting to the Heart Foundation of Jamaica for an Electrocardiogram (ECG)
(Kalamazoo College, 2014)This research paper determines and analyzes the risk factors of cardiovascular diseases in the Jamaican adult population. In this paper an abnormal electrocardiogram (ECG) is used as the main determinant to decide the ... 
The Relationship Between Quality of Life Measures and Risk Factors for Pelvic Floor Disorders
(Kalamazoo College, 2015)Pelvic floor disorders affect about 23.7% of women and are a class of ailments that cause physical and social discomfort in the forms of urinary and fecal incontinence, along with pelvic organ prolapse. Previous studies ... 
A Study of the Factors that Contribute to the Performance Rate of Jamaican Students on the Grade Four Numeracy Test
(Kalamazoo College, 2013)In Jamaica, Grade Four students are required to take a numeracy test to assess their mathematical abilities. The national averages in 2010 and 2011 were 38% and 46% respectively. These low average scores caused great concern ... 
On The Determination Of Parameters by Means of Functional Inversion
(Kalamazoo College, 2014)This paper attempts to discover how to determine the parameters of a function using the zeroes of the function. Generalizing affine algebraic varieties, we define and develop the locus of a function, to that end. Specific ... 
Real Numbers through the Lens of Continued Fractions
(Kalamazoo College, 2013)Decimal representation of real numbers (or more generally, bary representation) give us a convenient way of expressing real numbers. Although it takes a lot of computation to find digits in the decimal expansion of ... 
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 ... 
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.