Description: One of the great mathematical discoveries of the 20th century is that nearly all naturally occuring systems are chaotic - small changes in the initial conditions will lead to large changes in the long-term behavior. This means that predictions can only be made for a characteristic time period. This can be days for the weather, hundreds of millions of years for planetary motion, or seconds for some chemical reactions. But there is a theoretical limit to how well predictions can do. This course shall investigate dynamical systems, with applications to various fields of science, and how chaos arises. Prerequisites: Math 217 and Math 233.
Section 01Topics in Applied Mathematics
INSTRUCTOR: McCarthyView Course Listing