In this part we will extend Green’s theorem in work form to Stokes’ theorem. For a given vector field, this relates the field’s work integral over a closed space curve with the flux integral of the field’s curl over any surface that has that curve as its boundary.

» Session 88: Line Integrals in Space

» Session 89: Gradient Fields and Potential Functions

» Session 90: Curl in 3D

» Session 91: Stokes’ Theorem

» Session 92: Proof of Stokes’ Theorem

» Session 93: Example

» Session 94: Simply Connected Regions; Topology

» Session 95: Stokes’ Theorem and Surface Independence

» Session 96: Summary of Multiple Integration

» Problem Set 12