|MEETING TIME:||Mon., Wed., & Fri., 12:35–1:30|
|PLACE:||Earth Science 143|
|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 examination||100||Tues., Dec 11, 3:30 – 5:30|
|Midterm test||50||Wed., Oct 24, in class|
|Occasional quizzes (10 @ 5 each)||50||as announced (with little or no notice)|
|Assignments to be submitted (5 @ 10 each)||50||as announced|
|Writing Intensive Requirements||—||see the separate sheet|
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.