UMM ACADEMIC AFFAIRS

COURSE PROPOSALS

Form NC:

New Course Proposal

FORM NC

(2/00)

Discipline:

Mathematics

Form NC #:

2

Date:

Sept 20, 2000

 

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

Math 3221f. Analysis (M/SR; 4 cr; prereq 1102,2301 or #) Introduction to real and complex analysis. The main topics of calculus, namely convergence, continuity, differentiation, integration, and series, applied and extended in these more advanced settings. Emphasis on precise statements and rigorous proofs. Selected applications to other sciences.

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.

Currently, the analysis we teach shares space with algebra in Pure Math II. With the new structure, we devote an entire course to analysis. This ensures that analysis is not squeezed out by algebra and substantial time is available for important topics such as the role of complex numbers in analysis.

III. Other Course Information

First semester to be offered:

Fall 2001

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?

3410w Real Analysis, 3450s Elements of complex variables

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 analysis. In the process, students will solidify what they learned in Math 2301 about how modern mathematics works. Students will also solidify the calculus they learned in Math 1101 and 1102, as calculus plays a fundamental role throughout analysis.

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.)