Information on Classical Algebra
Math 326 (2595) — Math 326Z (2597)

August 27, 2007

MEETING TIME: Mon., Wed., & Fri., 12:35–1:30
PLACE: Earth Science 143
W. F. Hammond, ES 137B
Phone: 442-4625
Email: hammond
Office hours: Mon. & Wed., 2:15–3:05, or by appt.
Lindsay Childs, A Concrete Introduction to Higher Algebra, 2nd edition, Springer, 1995.
PRE-REQUISITE: Math 113 or Math 119 (two semesters of calculus)


Algebra as the study of groups, rings and fields is approached through a careful analysis of many concrete classical examples. The central focus is the list of properties common to the ordinary integers and the real polynomials as examples of rings.

These common properties arise from the existence in both cases of a procedure for long division. Divisibility, primality, factorization, and quotient structures (the arithmetic entities given by congruence for a given modulus) are common themes.

The quotient structures themselves become objects of study in the course.


Final examination100Tues., Dec 11, 3:30 – 5:30
Midterm test50Wed., Oct 24, in class
Occasional quizzes (10 @ 5 each)50as announced (with little or no notice)
Assignments to be submitted (5 @ 10 each)50as announced
Writing Intensive Requirementssee the separate sheet
Total weight250


Attendance at class meetings is a requirement for passing the course unless the student has been granted a special exception. Unexcused absence may result in failure or grade reduction. There will be no excused absences from tests except for compelling emergencies and religious holidays.


G. Chrystal, Algebra: An Elementary Textbook (2 vols.), Chelsea
M. R. Schroeder, Number Theory in Science and Communication, Springer
E. Weiss, First Course in Algebra and Number Theory, Academic Press