MATH 623 – Algebraic Reasoning and Mathematical  Fall  2011       

                      Structures

                      
Instructor
: Neil Sigmon                                              Office: Walker 212
Phone: 831-5340                                                                 Email: npsigmon@radford.edu
Homepage: http://www.radford.edu/~npsigmon
Course Homepage: http://www.radford.edu/~npsigmon/courses/Math623/math623.html
Office Hrs:  9:45 – 10:45 p.m.  Monday, Wednesday, Friday
                   1:30 – 2:30 p.m. Tuesday, Thursday
                   (Other times by appointment)

Textbook: Course Notes (no textbook will be required).

Required Resource:  To do the computer assignments for this course, students will need access to the symbolic manipulator Maple. A discounted version of the Maple 15 student version may be purchased for $75 at the website:

http://www.maplesoft.com/academic/adoptioncenter/adoptioncenter_coursedetail.aspx?EID=7337

Use the promotion code of AP73371 to get the discount.

 Supplemental Textbooks (not required for purchase):

1.   Abstract Algebra And Introduction, Thomas W. Hungerford.
2.   Applications of Abstract Algebra with Maple and MATLAB, 2nd Edition, Klima, Sigmon, and Stitzinger.

Class Meeting Times: Monday 5-8 p.m. in the Walker 279 distance education learning room.

Grading Policy:   30 % Midterm (Take home)
                           30 % Final Exam (Take Home)
                           30 % Homework and Maple Assignments
                            10 %   Term Paper*

 * The term paper will be a short paper (5 pages) describing a person or method pertaining to abstract
algebra, number theory, or applications. I will give you a list of possible topics but you are free to choose
one yourself as long as it pertains to some type of mathematics (preferably abstract algebra or number
theory). The paper should be typewritten (using Microsoft Word, for example) using 1.5 inch spacing
and should have good grammatical structure with references clearly stated. Do not plagiarize!
The term paper will be due Monday, December 5th.

 
Grade Scale: 90-100    A
                      80-89      B
                     70-79      C
                     60-69      D
                    < 60        F

Prerequisite: Math 423 (Abstract Algebra). Some background in number theory and linear algebra is helpful.

 Course Coverage: Rings, polynomial rings, basic number theory, finite fields, error-correcting
codes, cryptography, and other applications as time permits.