Green’s theorem

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