Learning Resources

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Outcomes

In this lesson you will learn

  • the number e
  • how the value of an investment changes as the number of compounding periods increases

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

  • determine, describe, and apply the value for "e"
  • determine and apply the derivative of a function
  • extend the understanding of exponential growth and decay through multiple contexts
  • analyze relations, functions, and their graphs
  • use tables and graphs as tools to interpret expressions
  • demonstrate an understanding for the conceptual foundations of limit, the area under a curve, the rate of change, and the slope of the tangent line, and their applications
  • evaluate and apply limits

Prerequisites

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

  • limits
  • the concept of compound interest and the formula used to calculate it
  • horizontal asymptote (for question #11)
  • the concept of n! (for question #11)
  • Pascal's Triangle and the binomial expansion (for question #11)