Lesson 22
Introduction to Calculus on the ClassPad
Welcome
In this lesson we will explore features of the ClassPad that allow us to study some areas of Calculus. This lesson is written with the assumption that the student has had at least Pre-Calculus. However, all the steps are given and everyone is encouraged to try it!
Lesson Goals
- To understand how to find limits from the left and right
- To be able to visualize limits
- To understand the relationship between even and odd functions and definite integrals
- To be able to visualize the derivative of a circle
In Lesson 22 you will learn how to:
- Study the result of a limit algebraically and graphically
- Apply properties of even and odd functions to definite integrals
- View the slope of the tangent line
- Create an animation of a tangent line on a curve
- Create an animation table
- Plot data created from an animation
Upon completion of this lesson you will be able to answer the following questions:
How do we find the limit of a function from the left on the ClassPad?
- How do we find the limit of a function from the right on the ClassPad?
- True or False: If we replace x with –x and get the same function, then the graph of the function is symmetric about the y-axis.
- What is the integral of f(x) from -3 to 3 if f(x) is odd and well defined between -3 and 3?
- How can we view the equation of a tangent line in Geometry?
- How can we estimate the graph of a derivative in Geometry?
Time Required
About 75 minutes.