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Re: Applications of Modular Arithmetic for General College
Students?
Posted:
Jan 19, 2011 12:29 PM
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Hi Jonathan,
I have not taught modular arithmetic in quite a while (been doing mostly statistics recently), but the bar-codes on products and in the stores use some form of modular, if I recall correctly. Also error correcting codes for CD allow skipping some of those scratches. You might want to look these up.
Mike
Michael Schachter
Mathematics Division
Coastal Carolina Community College
444 Western Blvd.
Jacksonville, NC 28546
910 - 938-6168; Fax: 910-455-7027
>>> Jonathan Groves <JGroves@Kaplan.edu> 1/19/2011 5:54 AM >>>
Dear All,
I wonder if anyone here knows of any applications of modular arithmetic
that may appeal to general college students. I would like to present a
math talk sometime this spring for general college students on
modular arithmetic, and I will need some applications.
I know applications to mathematics itself, and I plan to present some
of them. One idea I have in mind is showing how modular arithmetic
allows us to prove the divisibility rules for 3 and 9 and some others.
But I do want some real world applications as well to help make the
talk appealing to a wider audience of students. Some such applications
are pretty advanced such as in cryptography. I don't know right now
how feasible it would be to outline something in this direction.
Even if it is feasible, I do want something that might allow me to
go in a little further depth and to add some variety to the talk.
Being trained in pure mathematics, I did not see any of these applications
except applications to mathematics and real-world applications that are quite
advanced for general college students. So any help would be greatly
appreciated.
I had tried asking this question on sci.math and did not get much of
anything.
Jonathan Groves
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