Learning Resources

Home »  » Courses » Mathematics » Advanced Mathematics 3207 (delisted) » Unit 03 » Set 07 ILO 04 » Get Ready

Outcomes

In this lesson you will learn

• the natural logarithm
• the relationship between the functions y = e^xand y = ln x

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:

• the relationship between exponential and logarithmic functions
• the number e
• properties of logarithms
• how to use logarithms to solve exponential equations
• transformations
• domain and range
• asymptotes
• properties of y = e^x
• inverse functions