THE UNIVERSITY OF NORTH CAROLINA AT ASHEVILLE

 

                                                                   FACULTY SENATE

 

Senate Document Number     2608S

 

Date of Senate Approval      02/14/08

 

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Statement of Faculty Senate Action:

 

APC Document  19:                  Addition of new course, MATH 397, Chaos and Fractals

 

 

Effective Date: Fall 2008

 

1.         Add:     On page 199., new course, MATH 397:

 

397             Chaos and Fractals (3)

The study of nonlinear iterated function systems in one and higher dimensions.  Topics may include periodicity, chaotic dynamics, structural stability, strange attractors, and fractal geometry.  Numerical experimentation with personal computers will be part of the course. Prerequisite:  Math 291. Odd years Fall.

 

 

Impact:  No additional resources are needed to offer this course.

 

Rationale:   Due to the increased number of majors, the Mathematics Department has been offering special topics courses each semester. This course (or similar ones) has been taught five times as a special topics class. Given the increase in majors, the popularity of the topic, and the frequency at which it is taught, it is time that we formalize it in the catalog.

 

Semester

Name

Instructor

Enrollment

Spring 1990

Fractal Geometry

Dohse

7

Spring 1993

Dynamical Systems

Atkinson

5

Spring 1998

Dynamical Systems

Atkinson

5

Spring 2003

Fractal Geometry

McClure

21

Spring 2007

Chaos Theory

Kaplan

14

Fall 2007

Fractals

McClure

6