Video showing how to find the closed line integral of the dot product of a vector field and a unit normal vector to figure out how fast particles are exiting the region formed by the closed curve. Green's theorem is applied and the...

Video lesson solving a closed line integral of a vector field by using Green's theorem. [10:31]

Video starting to derive Green's theorem by showing that the closed line integral in a vector field with vectors only in the x-direction is equal to the negative double integral over the region contained within the closed curve of the...

Video finishing the derivation of Green's theorem by showing that the closed line integral in a vector field with vectors only in the y-direction is equal to the double integral over the region contained within the closed curve of the...

Video lesson solving the line integral of a region formed by the unit circle by using Green's theorem. Accounts for region being formed by moving in a clockwise direction instead of the counterclockwise direction. [7:07]

Using Green's Theorem to establish a two dimensional version of the Divergence Theorem.

Using Green's Theorem to solve a line integral of a vector field

Part 1 of the proof of Green's Theorem

Watch a video to explore part 2 of Green's Theorem.

Watch a video for Green's theorem.

This is part six of the series of videos about the Stoke's Theorem.

This is part five of a series of video about the Stoke's Theorem.

This video shows that Green's Theorem is just a special case of Stokes' Theorem.

This is part seven of a series of videos using Green's Theorem to complete the proof