**Learning objectives**

- Define (autonomous) dynamical system
- Put nonautonomous or second order DEs into (autonomous) dynamical system form
- Display a 1D dynamical system, on the ( vs )-plane and perform a state line analysis
- Find equilibrium (aka constant) solutions and determine their stability
- Do a linear stability analysis to describe the behavior of solutions near an equilibrium
- Give a potential function interpretation of 1D dynamical systems

**Before class**

- Read Borrelli-Coleman section 2.8
- Read notes

**In class**