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Physical Sciences and Mathematics Commons™
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Articles 1 - 8 of 8
Full-Text Articles in Physical Sciences and Mathematics
Course Proposal For A Mathematical Modeling Course In A High School Curriculum, Thomas P. Marlowe
Course Proposal For A Mathematical Modeling Course In A High School Curriculum, Thomas P. Marlowe
Masters Essays
In the winter of 2015, I will be piloting a course on mathematical modeling at Hawken School, an independent high school in Gates Mills, OH. As I develop all elements of this course, such as lesson plans, assessments, and rubrics, I will be mindful of factors such as the newly adopted Common Core mathematics standards, the variety of student backgrounds in such a course, and how various mathematical societies and organizations such as SIAM, MAA, and COMAP can help in implementing it. However, there is one basic question driving my interest in and design of this course: “when am I …
Who Came Up With This? Mathematics History In The Classroom, Katie S. Schneck
Who Came Up With This? Mathematics History In The Classroom, Katie S. Schneck
Masters Essays
No abstract provided.
Infinity In The High School Mathematics Classroom, Alyssa Hoslar
Infinity In The High School Mathematics Classroom, Alyssa Hoslar
Masters Essays
No abstract provided.
Mittag-Leffler Therorem, Elizabeth O. Agyeman
Hurwitz's Theorem, Marianna Malek
An Analysis Of Lake Erie’S Near Shore Habitats With The Benthic Diatom Metric, Kenjon Yeong
An Analysis Of Lake Erie’S Near Shore Habitats With The Benthic Diatom Metric, Kenjon Yeong
Masters Essays
No abstract provided.
Hyperbolic Geometry And Mobius Transformations, Emmalee Stevens
Hyperbolic Geometry And Mobius Transformations, Emmalee Stevens
Masters Essays
Imagine a world in which there are infinitely many lines through a single point that are all parallel to the same line; this world is referred to as the hyperbolic plane. It starts with a brief history of the development of hyperbolic geometry and the mathematicians who contributed their explorations of the hyperbolic plane. The reader will be reminded of some of the important aspects of Euclidean geometry and some of the basic properties that will later be adjusted to develop hyperbolic geometry. The hyperbolic plane will be constructed from the pseudosphere and the properties of the Poincare Upper Half …
The Application Of The Expectation Maximization Algorithm Onto Big Data, Jason Beffel
The Application Of The Expectation Maximization Algorithm Onto Big Data, Jason Beffel
Masters Essays
With the growing prevalence of big data, it is interesting to see whether the popular machine-learning tool known as the Expectation Maximization (EM) algorithm (Dempster, Laird, & Rubin, 1977) is applicable and beneficial for data analysis. Can the EM algorithm be used directly on big data without requiring additional changes or adjustments? Yes, the EM algorithm can be applied to a big data set modified or unmodified, and the goal of this paper is to show the technique used to do so.