**Get inspired:**

What do Romeo and Juliet have to do with dynamical systems?

**By the end of this lesson, you should be able to:**

- Visualize vector fields in the phase plane.
- Describe different types of fixed points.
- Classify fixed points of 2 x 2 linear systems.
- Draw phase portraits of 2 x 2 linear systems.

**Before class, please:**

**In class, we will:**

**After class, please:**

- Do post-class problems.