UMM ACADEMIC AFFAIRS

COURSE PROPOSALS

Form NC:

New Course Proposal

FORM NC

(2/00)

Discipline:

Mathematics

Form NC #:

1

Date:

Sept 20, 2000

 

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

Math 2301s. Mathematical Perspectives (M/SR; 4 cr; prereq 1101)

Introduction to the methodology and subject matter of modern mathematics. Sets, functions, relations, cardinality, and induction. The axiomatic method: definitions and examples of graphs, metric spaces, groups and rings. Roots of complex polynomials. Selected further topics.

II. Rationale (see instructions):

We are expanding two required four-credit courses, Pure Math I and Pure Math II, to 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.

Mathematical Perspectives requires Calculus I, but will otherwise be a stand-alone course. Besides being required of our majors, it will be attractive to minors and mathematically talented students from across the campus. Pure Math I did not serve the latter two constituencies well.

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?

3250f Foundations of Mathematics

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 help students make the transition from computational mathematics to conceptual mathematics. The students will develop technical skill in proof-writing, and familiarity with some of the basic objects of advanced mathematics. The students will emerge with a better perspective on mathematics.

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.)