Learning objectives

• Compute line integrals of gradient vector fields
• Distinguish between path dependent and path independent vector fields
• Vocabulary: potential function, conservative vector field, exact differential
• Apply Green’s theorem
• Gain familiarity with some applications of line integrals

Before class

• Read Hughes-Hallett sections 18.3, 18.4
• Ponder Hughes-Hallett problems:  18.4: 2, 4, 10, 17, 21, 22.

In class

• Work some problems
• Work some problems
• Pressure-volume loops for the cardiac cycle
• How does a planimeter work?
• Glance at differentials in chemistry