Chaos Theory For Freshman: A Seminar with Laboratory Science Credit

ORAL

Abstract

Seminars aimed specifically at freshman have become popular in private colleges in the last decade. Here I describe a seminar on chaos theory that, in addition to a regular discussion forum, meets weekly in a computer laboratory. The course roughly follows the development of nonlinear dynamics, starting with sensitive dependence and the butterfly effect through bifurcations and even a touch of KAM theory. Clear distinctions are drawn between dissipative and conservative dynamical systems. Examples are taken from astronomy, biology, mechanics, meteorology, and idealized fractals. The laboratory sessions follow the course of the readings and feature the seminal nonlinear maps that stimulated the development of the theory. In addition to technical issues, the concept of a scientific revolution, and the meaning and possibility of free will are contemplated from the standpoint of dynamical systems theory. At the end of the semester students make a presentation based on a topic they select and investigate. I will present an outline of the class activities and some examples of the student presentations.

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Authors

  • Kevin Boos

    Angelo State University, Texas State University, San Marcos, SEMATECH, Texas State University, University of Texas at Brownsville, Abilene Christian University, Texas Tech University, University of Texas at Austin, Maypearl High School, Birdville ISD, South Texas Chapter, Health Physics Society, Sam Houston State University, NASA Johnson Space Center, Dept. of Physics, U. de Buenos Aires, Argentina, Dept.of Physics, ESFM-IPN, Mexico City, University of Texas M.D. Anderson Cancer Center, Rutgers University, Texas A\&M University, Istanbul University, University of North Texas, University of Texas at El Paso, Texas Christian University, Lee College, Southern University and A\&M College, Austin Community College, Rapoport Academy, Texas A\&M University, Kingsville, The University of Texas at Arlington, Tyler Junior College, Tarleton State University, Tolar High School, Granbury High School, Lake Highlands High School