1. PARAMETRIC FUNCTIONS Today we will learn about parametric functions in the plane and analyze them using derivatives and integrals.

2. PARAMETRIC CURVES Instead of defining the points (x, y) on a planar curve by relating y directly to x, we can define both coordinates as functions of a parameter t. The resulting set of points may or may not define y as a function of x (that is, the parametric curve might fail the vertical line test). Some examples appear below:

3. CONVERTING PARAMETRIC EQUATIONS

4. PARAMETRIC DIFFERENTIATION

5. ANALYZING A PARAMETRIC CURVE

6. ARC LENGTH

7. ASSIGNMENT: p. 535: 1, 4, 10, 11