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)