Augmented Lecture in Integral Calculus - Review of Parametric Equations

This is a review of parametric curves and equations for a calculus class.

Table of Contents:

00:00 - Introduction
00:40 - Definition of Parametric Equations
01:48 - Definition of a Parametric Curve
02:52 - Visualizing a Parametric Curve
04:33 - How to Use WinPlot to Sketch Parametric Curves
05:49 - Sketching a Parametric Curve by Hand Using a Table of Values
10:47 - Sketching a Parametric Curve Using Graphs of x(t) and y(t)
19:02 - Sketching a Parametric Curve By Eliminating Parameters
22:03 - Another Graphing Example By CAREFULLY Building a Table of Values
31:40 - Yet Another Example of Sketching a Parametric Curve By Eliminating Parameters
36:22 - Doing the Previous Example By Sketching x(t) and y(t)
39:10 - Yet Another Graphing Example Done By Eliminating Parameters
43:19 - Sketching a Parametric Curve Involving Hyperbolic Functions
46:24 - Graphing a Parametric Curve Using a Slightly Trickier Elimination of Parameters
48:43 - How Complicated Can Parametric Curves Get?
52:19 - Using Parametrics to Find the Inverse of a Function