Learning Resources

Home »  » Courses » Mathematics » Advanced Mathematics 3207 (delisted) » Unit 01 » Set 04 ILO 02 » Get Ready

Outcomes

In this lesson you will learn

  • the definition of a fractal
  • about the Koch snowflake
  • how to use fractals to develop the formula to sum an infinite geometric series
  • how to determine whether or not an infinite geometric series converges or diverges

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

Prerequisites

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

  • the concept of similar figures
  • how to find the area and perimeter simple polygons
  • how to find partial sums for a series
  • the concept of limit
  • the difference between converging and diverging sequences
  • the difference between a sequence and a series
  • how to express a series using sigma notation
  • the formula used to sum a finite geometric series
  • how to work with radicals (for question #28)
  • the concept of probability (for question #35)