Lesson 21
Introduction to 3D Graphing
Welcome
Wow. We have reached lesson 21. The final lesson will give more detail to a topic introduced in Lesson 1: 3D graphing. 3-dimensional graphing is commonly studied in your third semester of calculus and in vector calculus.
Lesson Goals
- To be able to visualize a 2-dimensional graph as 3-dimensional
- To understand how to plot a point in 3-dimensional space
- To be able to recognize the equation of a plane
- To be able to graph in parametric form
In Lesson 20 you will learn how to:
- Think about coordinates of the form (x,y,z)
- Graph a plane in space
- Graph a 3-dimensional curved figure in space
- Rotate a graph
- Display axes
Upon completion of this lesson you will be able to answer the following questions:
- What will z=-x+5y+1 look like when graphed?
- How can we display two graphs at one time?
- What does the z=cos(x) look like graphed?
- If you were to plot (0,4,3), describe where it would be.
Time Required
About 40 minutes.