1. Lecture 9: Parametric Equations

2. Objectives Be able to use parametric equations to describe the motion of a point Be able to find the arclength of a curve described by parametric equations as well as the area underneath such a curve. Know how to find the curvature of curves in 2D and 3D. Corresponding Sections in Simmons 17.1,17.2,17.5

3. Parametric Equations

4. Example: Projectile motion

5. Example: Circular Motion

6. Velocity and Acceleration

7. Arclength with Parametric Equations

8. Example: Arclength of a Circle

9. Area with Parametric Equations

10. Curvature

11. Curvature Cont.

12. Curvature of a curve