Undergraduate Prerequisites: consent of instructor. - Introduces the modern approach to the dynamics of nonlinear systems, which approach is often called "nonlinear science," a term that stresses the interdisciplinary applications of nonlinear dynamics that go well beyond classical mechanics to include examples from all the natural sciences, engineering, and even social sciences and medicine. Organized around three "paradigms" of nonlinear science: (1) chaos and fractals; 2) "solitons" and coherent structures; and 3) patterns and pattern selection and will involve analytical, computational, and experimental studies.

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