Learning objectives

• Distinguish gradient vector fields by properties of their line integrals
• Find potential functions for gradient vector fields
• Connect the language of vector fields with that of differentials

Before class

• Read Hughes-Hallett section 18.3
• Ponder Hughes-Hallett problems:  18.3: 1, 3, 6, 10, 19, 21, 22, 34.
• Post to Piazza

In class

• Problems on gradient fields and path independence
• Quiz 4