**Learning objectives**

- Interpret functions from to or as parameterized curves
- Use Mathematica to explore a variety of parameterized curves, including lines, circles, and helixes
- Define and use velocity and acceleration vectors for motion
- Compute arc length of a parameterized curve

**Before class**

- Read Hughes-Hallett sections 17.1, 1 7.2
- Ponder Hughes-Hallett problems: 17.1: 1, 2, 4, 9, 13, 22, 26; 17.2: 3, 7, 13, 29, 40.
- Watch video of a helix
- Remember to bring your laptop to class for work with Mathematica.

**In class**

- Mathematica examples
- Draw parameterized curves with Mathematica