Department of Mathematical Sciences

Northern Illinois University

#### 12:30-1:45, M T W Th, Faraday 205

#### June 16 - August 7

**Professor John Beachy**,
Watson 355, 753-6753

**Office Hours**:
2:00 - 3:00 (in Watson 355),
or by appointment

email: beachy@math.niu.edu |
my homepage: www.math.niu.edu/~beachy/

**COURSE:**
**
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

**TEXT:**
**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.

**SYLLABUS:**
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:

- 100 points for the midterm exam
- 200 points for homework
- 100 points for the final exam

**MIDTERM:**
Tentatively scheduled for the end of the 4th week of class.

**FINAL:**
Tentatively scheduled for the last day of class.