Video 16.3.1: The Fundamental Theorem of Line Integrals

Video 16.8.4: More Notes on Stokes' Theorem

Video 16.5 Addendum: A Point-Wise Interpretation of Curl

Video 16.8.2: Using Stokes' Theorem to Evaluate a Line Integral

Video 16.8.1: Introduction to Stokes' Theorem

16.6.3B: Parameterizing the Lower Half of an Ellipsoid

Video 16.4.7: Green's Theorem Ties Up a Loose End

Video 16.4.6: Conservative Vector Fields, Path Independence, and Line Integrals on Closed Curves

Video 16.4.5: Using a Line Integral of Compute the Area of a Region

Video 16.4.4: Green's Theorem Extended to a Region with a Hole

Video 16.4.3: Green's Theorem on a Heart-Shaped Region

Video 16.4.2: Partial Proof of Green's Theorem

Video 16.4.1: Green's Theorem with a Quick Example

Video 16.1.1: Introduction to Vector Fields (Redux)

Video 16.3.4: Recovering a Potential Function from F(x,y)

Video 16.3.3: Showing a 2D Vector Field is Conservative

Video 16.3.2: Evaluating a Line Integral using the Fundamental Theorem of Line Integrals

Video 16.3.1: The Fundamental Theorem of Line Integrals

Video 16.2.8: The Sign of a Line Integral Over a Vector Field From Its Graph

Video 16.2.7: Evaluating a Line Integral in Differential Form

Video 16.2.5: Computing a Line Integral W.R.T. a Vector Field

Video 16.2.4: Line Integrals W.R.T. a Vector Field

Video 16.2.2: Arc Length Line Integrals Part 2

Video 16.2.1:Introduction to Line Integrals w.r.t. Arc Length

Video 16.2.3: Example of Arc Length Integration