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MA175 – Chaos under Control: Computation, Calculus and Order Within Chaotic Systems

Traces the evolution of geometry and dynamics from antiquity to the present, while following the thread of developing technology . Geometry in Euclid’ s time and Aristotle’ s dynamics are inadequate for the study of natural objects such as fern leaves or the weather . Examines how the development of calculating machines has affected and deepened understanding of the natural world. Following the development of early calculating machines into modern day computers, we will see how Newton’ s and Leibniz’ s calculus laid the foundations for the study of differential equations, chaotic and nonlinear dynamics, fractals, and the butterfly effect. First Y ear Experience course; first year students only . Prerequisite: Calculus 1 from high school, or COI (Not offered 2017-18).

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