MATH 305(S) Applied Real Analysis

A deeper understanding of the derivative and limits leads to important applications in physical and social sciences as well as more advanced mathematics. Phase plane analysis extracts information from "insoluble" systems of nonlinear differential equations about the counterintuitive ecological balance between sharks and their prey or the peculiar motion of a box tossed in the air. The calculus of variations ("infinite-dimensional calculus") underlies inventory control in economics, Lagrange's equations in physics, Riemannian "noneuclidean" geometry, and general relativity. Evaluation will be based on performance on homework and exams. Prerequisites: Mathematics 105 and 211, or 210 and permission of instructor.

Hour: SILVA