MATH 317 Applied Abstract Algebra (Not offered 2006-2007; to be offered 2007-2008) (Q)
The abstract algebraic structures called groups, rings and fields have proven to
have surprisingly many applications. For example, groups have been used to
build secure cryptosystems and to study the symmetry of molecules. We will
study the abstract properties of groups, rings and fields and then study several
applications of this theory. Possible topics include cryptography, puzzles, error
correcting codes, computer software applications, symmetry, tiling, networks,
and grobner bases.
Evaluation will be based primarily on homework and exams.
Prerequisites: Mathematics 211 and one or more of the following: Mathematics
209, 251 or Statistics 201 or permission of the instructor.