UMM ACADEMIC AFFAIRS

COURSE PROPOSALS

Form NC:

New Course Proposal

FORM NC

(2/00)

Discipline:

Mathematics

Form NC #:

3

Date:

Sept 20, 2000

 

I. Give complete UMM catalog entry (see instructions).

Math 3231s. Abstract Algebra (M/SR; 4 cr; prereq 2111,2301 or #)

Systematic study of groups and rings, making use of linear algebra. Groups as codifying symmetry, throughout mathematics and its applications. The Euclidean algorithm and its consequences, both for integers and polynomials. Selected further topics and applications.

II. Rationale (see instructions):

We are replacing two required four-credit courses, Pure Math I and Pure Math II, with three required four-credit courses, Mathematical Perspectives, Abstract Algebra, and Analysis. The new structure divides the material more naturally and is more in accord with national standards.

Currently, the algebra we teach is spread out over Pure Math I and Pure Math II. Problems arise if a student takes Pure Math I one year and Pure Math II another, for instance. With the new structure, we put all this algebra in one course. Another feature of the new structure is that we are replacing the largely irrelevant prerequisite of Calculus II with the highly relevant prerequisite Linear Algebra. This will serve to help move Linear Algebra more to the center of our major.

III. Other Course Information

First semester to be offered:

Spring 2002

Principal Faculty Sponsor(s):

David Roberts and Michael O’Reilly

Is course repeatable? (if yes, give max cr)

No

To what quarter course(s) does this correspond?

3231 Abstract Algebra

Course Type (choose one from instruction sheet):

Lecture

Course requires:(check all that apply):

 

Laboratory sections

 

Recitation/discussion sections

IV. Assessment Information

Please state clearly and briefly the GOALS of this course.

The goal of this course is to provide students with an introduction to abstract algebra. In the process, students will solidify what they learned in Math 2301 about how modern mathematics works. Students will also solidify what they learned in Math 2111, as linear algebra is an essential component of abstract algebra.

How will you ASSESS the success of this course in achieving the GOALS described above?

Student projects and presentations. Quizzes, Tests, and Final Examination.

Regular Approval Process:

For long-term approval, curricular change forms must go through the following regular approval process (put check in box and date when approved):

 

Date

Step #

X

9/20/00

1)

Discipline approves (sends hard copy and electronic copy of proposal to #2)

X

9/28/00

2)

Division approves (Division Chair sends proposal to #3)

   

3)

Curriculum Committee approves (sends proposal to #4)

   

4)

Campus Assembly approves. (New courses become effective immediately following Campus Assembly approval.)