Learning Resources

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Outcomes

In this lesson you will learn

  • the concept of compound interest

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

Introduction

First and foremost, you will begin this section with a review of logarithms and exponential functions. This will lead to the introduction of the number e and the function y = ex. You will then come to learn how this is related to the special logarithmic function y = ln x. Compound interest, absorption and cooling are some of the real-world applications of these concepts that will be explored.

This section of study should take approximately 5 hours to complete.

Prerequisites

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

  • the relationship between exponential and logarithmic functions
  • properties of logarithmic functions
  • exponential functions