**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:**

- Read Strogatz, Chapter 5.
- Listen to Linear Dynamical Systems Part A and Linear Dynamical Systems Part B.
- Check yourself before you wreck yourself.

**In class, we will:**

**After class, please:**