Description

Overview:

In the first video segment, we introduce Euler's number by considering the problem of interest compounded continuously. After we obtain the power-series representation for exp(x), we explore its properties, in the next four video segments, to convince ourselves that exp(x) is literally an exponential function, meaning a number, approximately 2.71828, taken to the power x. In the final two segments, we present the natural logarithm and demonstrate that it is the anti-derivative of 1/x.

Subject:

Mathematics

Level:

High School, Community College / Lower Division, College / Upper Division, Graduate / Professional, Career / Technical, Adult Education

Material Type:

Lecture Notes

Author:

David Liao

Provider:

Look At Physics

Provider Set:

A Mathematical Way to Think About Biology

Date Added:

10/08/2011