Wright Math

We'll be beginning this chapter with a topic that will be a little familiar to those of you who have taken physics, Parametric Equations. These equations allow us to describe and analyze motion in 2-dimensions* by looking at the vertical and the horizontal behavior separately.  

*In Math 283, you'll be extending this to 3-dimensions.  Parametric Equations are SUPER important in Multivariable and Vector Calculus!

Lesson videos 

Intro to Parametric Equations.  Pay particular attention to how the table is set up and filled in for graphing a set of parametric equations by hand!

Using Desmos to graph:  Basic Parametric Graphing

Cool demo showing more advanced parametric graphing:  Family Math

Eliminating the Parameter.  This is a topic that is sort of useful in getting back to the familiar territory of equations involving just x and y. 

In 3-dimensions, however, this is NOT possible, so it's actually best to learn to recognize the type of curve you're dealing with by looking at the parametric equations WITHOUT eliminating the parameter!  

Also, there are complex curves that simply can't be described using an x,y equation.  Parameterization allows for much more complexity and adapts to real problem solving much better.

Eliminating the Parameter with Trig Functions.  This is more useful in that it shows how circles and ellipses are parameterized. All the conic sections are a HUGE part of Math 283, so any review of those is super important!

Parameterization of Circles  - A video demo with Desmos that I made.  It's not going to win any Academy Awards, but can help you have a better idea about what the use is of parameterization.

 Derivatives and Tangents 

Handout:

Summary of Parametric Equations (Graphing, Circles, Lines)

Assigned Problems: