Curated Video
Geometry and Measurements: Terms Related to the Circle
By the end of this learning object, the student will be able to: - Recall all terms related to the circle (circle - radius - center - diameter - sector). - Find the surface area of a given circle.64579
Virtually Passed
5.0 A better way to understand Differential Equations | Nonlinear Dynamics | Bendixson's Criterion
Bendixson's criterion is another method used to disprove the existence of closed orbits. A periodic solution is a type of closed orbit. This theorem only holds for simply connected regions in 2D. The statement is that if on a simply...
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4.0 A better way to understand Differential Equations | Nonlinear Dynamics | Index Theory
Index theory is a method used to gain global information about a nonlinear differential equation. One powerful insight is that closed orbits (periodic solutions) must have at least one fixed point inside of the curve. In fact, for a...
Professor Dave Explains
Stokes's Theorem
Stokes's Theorem is kind of like Green's Theorem, whereby we can evaluate some multiple integral rather than a tricky line integral. This works for some surface integrals too. Let's see how it works!
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A better way to understand Differential Equations | Nonlinear Dynamics (Part 4) | Index Theory
Index theory is a method used to gain global information about a nonlinear differential equation. One powerful insight is that closed orbits (periodic solutions) must have at least one fixed point inside of the curve. In fact, for a...
Khan Academy
Khan Academy: Calculus: Line Integral Example 2 (Part 2)
Video lesson continuing the problem from the previous video on finding the surface area along a closed curve using line integrals. Two line integrals are set up and solved and added to the area found previously. [9:58]
Khan Academy
Khan Academy: Calculus: Line Integral Example 2 (Part 1)
Video lesson showing how to visualize and use line integrals to find the surface area along a closed curved. Problem is solved by using three different line integrals, only one of which is set up and solved in this video. [12:53]
Khan Academy
Khan Academy: Line Integrals for Scalar Functions (Part 2)
An example of finding the surface area along a closed curve using line integrals.