MATH 523, Summer 2008
Professor John Beachy, Watson 355, 753-6753
Office Hours: 2:00 - 3:00 (in Watson 355), or by appointment
email: firstname.lastname@example.org | my homepage: www.math.niu.edu/~beachy/
MODERN APPLIED ALGEBRA (3)
Concepts and techniques of modern algebra which are useful in applied mathematics. Topics include applications of group theory to coding, applications of latice theory to switching theory, and applications of ring theory to linear automata.
PREREQUISITE: MATH 420 or consent of department
Introduction to Algebraic Coding Theory,
by Sarah Adams
A copy of the text (in .pdf format) is available on the course homepage www.math.niu.edu/~beachy/courses/523.
The topics covered will include linear codes and cyclic codes.
I hope to finish all of the textbook.
There will be supplementary lectures notes on
polynomials over fields and on the structure of finite fields.
If time permits, there will be some material on codes based on elliptic curves from the Trappe and Washington text. I may also have time to cover public key encryption methods.
GRADING: Semester grades will be based on 400 points:
MIDTERM: Tentatively scheduled for the end of the 4th week of class.
FINAL: Tentatively scheduled for the last day of class.