Centre for Distance Learning and Innovation

Outcomes

In this lesson you will learn

By the end of this section students will be able to:

demonstrate an intuitive understanding for the concept of limit
investigate and apply the concept of infinity by examining sequences and series
represent a series in expanded form and using sigma notation
develop, analyze and apply algorithms to determine the sum of a series
demonstrate an understanding of convergence and divergence
apply convergent and divergent geometric series
demonstrate an understanding of how to approximate the area under a curve using limits

To be successful in this lesson, it would be helpful to know the following:

how to find the area of rectangles
the concept of limit
the summation formulas for finding the sum of the first n natural numbers, the squares of the first n natural numbers, and the cubes of the first n natural numbers
the formula for density