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Karls, Michael A. – PRIMUS, 2017
In this paper I will outline the process I have developed for conducting applied mathematics research with undergraduates and give some examples of the projects we have worked on. Several of these projects have led to refereed publications that could be used to illustrate topics taught in the undergraduate curriculum.
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Student Research
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Karls, Michael A. – PRIMUS, 2013
The wave equation with variable tension is a classic partial differential equation that can be used to describe the horizontal displacements of a vertical hanging chain with one end fixed and the other end free to move. Using a web camera and TRACKER software to record displacement data from a vibrating hanging chain, we verify a modified version…
Descriptors: Calculus, Equations (Mathematics), Motion, Mechanics (Physics)
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Karls, Michael A. – PRIMUS, 2011
After the success of a course on cryptography for a general audience, based on Simon Singh's "The Code Book" [49], I decided to try again and create a mathematics course for a general audience based on "The Physics of Star Trek" by Lawrence Krauss [32]. This article looks at the challenges of designing a physics-based mathematics course "from…
Descriptors: Mathematics Instruction, Curriculum Development, Physics, Science Fiction
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Karls, Michael A. – PRIMUS, 2010
At the suggestion of a colleague, I read "The Code Book", [32], by Simon Singh to get a basic introduction to the RSA encryption scheme. Inspired by Singh's book, I designed a Ball State University Honors Colloquium in Mathematics for both majors and non-majors, with material coming from "The Code Book" and many other sources. This course became…
Descriptors: College Mathematics, Mathematics Instruction, Mathematical Concepts, Homework
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Armstead, Donald C.; Karls, Michael A. – PRIMUS, 2006
The wave equation is a classic partial differential equation that one encounters in an introductory course on boundary value problems or mathematical physics, which can be used to describe the vertical displacement of a vibrating string. Using a video camera and Wave-in-Motion software to record displacement data from a vibrating string or spring,…
Descriptors: Introductory Courses, Photography, Computer Uses in Education, Video Technology