Monday, November 24, 2008

optimization.Day1

1 comment:

willh said...

Today we started looking at ways to use differentiation to solve optimization problems; that is, we will use derivatives to find maximum or minimum values for certain quantities. Optimization problems can involve very practical concerns (minimize the cost of materials for a 12 ounce soda can) or they can be related to deeper questions (How should the human trachea contract in order to maximize the volume of the outgoing air when we cough?) In Newton's time, Rene Descartes was investigating rainbows (Why do they occur? What is the rainbow angle?) and he discovered that his questions related to the idea of finding a maximum point on a complex function.