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Page Modified Nov 2, 2007 3:32 pm

MATH 499C   Basic Concepts and Examples in Chaos

Dr. Denny Gulick from the University of Maryland will give an undergraduate mini course on Basic Concepts and Examples in Chaos in the Spring semester of 1998. The class will meet during the weeks of March 9-20 only. Anyone interested is welcome to attend. Undergraduates wanting to take the course for one credit of MATH 499 should ask Deb Webb in the mathematics department for a course section permit. An abstract, course requirements, and syllabus follow.

Short Abstract Recently chaos has become increasingly popular, in mathematics and with a wide variety of applications. In the mini course "Basic Concepts and Examples in Chaos" we will dwell on interesting properties of the famous tent function. Then we will analyze properties of the renowned quadratic functions, and will study one of the basic concepts in chaos: bifurcations. Our discussions will lead us to a definition of chaos, and to applications of chaos in the real world.

Course Requirements: Required Text: Encounters with Chaos by Denny Gulick, McGraw-Hill, Inc., 1992

Reading Assignment: Read, during March 9-13, sections 1.1-1.3 of Encounters with Chaos

Problem Assignment: Due March 16, 1998

    Sections 1.1-1.3 of Encounters with Chaos
    1.1: 3, 4, 10, 11
    1.2: 3, 4, 9a (using a computer or calculator), 14, 15
    1.3: 1, 2, 3, 7, 10, 11, 23a
Syllabus:

March 9-10: Chaos, Fractals, and Dynamics videotape by Robert Devaney shown and discussed

March 11-13 & 16: Professor Muenzenberger

    Sections 1.1-1.3 of Encounters with Chaos
March 17-20: Professor Gulick
    The tent function
    The quadratic family
    Different kinds of bifurcations
    Chaos, and applications of chaos