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MATH661: Applied Algebra
Revised: November 2006
Course Description
Applications of Boolean Algebras, finite fields, and semigroups. Prerequisite: An undergraduate abstract algebra class or permission of instructor. Three semester hours.
Objectives
To examine some applications of the theory of abstract algebra.
Text
Rudolf Lidl and Gunter Pilz. Applied Abstract Algebra, Second Edition. Springer-Verlag, 1998.
Grading Procedure
Grading procedures and factors influencing course grade are left to the discretion of individual instructors, subject to general university policy.
Attendance Policy
Attendance policy is left to the discretion of individual instructors, subject to general university policy.
Course Outline
The course instructor, being cognizant of the Interdependence Chart on page ix of the text, has wide latitude in selection of topics. A suggested course outline is as follows:
Lattices and Applications
(Sections 1 - 6, and selected material from Sections 7 - 8) - 8 weeksFields and Applications
7 weeksSelected material
from Sections 10 - 13, Field TheorySelected material
from sections 16 - 20, Coding TheorySelected material
from sections 21 - 23, CryptologyOther Applications
if time allows
Note: At appropriate places in this course, time should be allotted to elaborate on the historical aspects relevant to the subject.