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My Favorite Mathematica Projects for Teaching Linear Algebra
Murray Eisenberg
University of Massachusetts
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- Notebook 1
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- Notebook 2
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- Notebook 3
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- Notebook 4
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- Mathematica Package
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Mathematica projects can improve students' understanding of mathematical
concepts and enrich their mathematical experience. At the same time, such projects can
serve to teach Mathematica fundamentals. This presentation examines three projects
from sophomore courses in linear algebra: 1) visualizing linear and affine transformations
of the plane, 2) least-squares approximation as an application of orthogonal projection,
and 3) cracking Hill ciphers. The viewpoints of both student and teacher are considered.
For each project the student does some Mathematica programming; for each, the
teacher prepares Mathematica notebooks or packages. Relevant Mathematica
features and functions will be introduced in the context of the projects.
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