Green’s Theorem - Examples I

preview_player
Показать описание
Welcome to my video series on Vector Calculus. You can access the full playlist here:

Videos by Zack Cramer, University of Waterloo. Textbook reference: Essential Calculus by James Stewart
  1. Mathemation
Рекомендации по теме
Green's theorem example 0:10:31

Green's theorem example 1 | Multivariable Calculus | Khan Academy

Green's Theorem Examples 0:09:14

Green's Theorem Examples

Green's Theorem 0:06:37

Green's Theorem

Vector integration Green's 0:14:16

Vector integration Green's theorem best & easy example(PART-1)

Green’s Theorem - 0:09:14

Green’s Theorem - Examples I

Green's Theorem, explained 0:06:32

Green's Theorem, explained visually

Green's Theorem Examples 0:10:32

Green's Theorem Examples

Multivariable Calculus - 0:10:31

Multivariable Calculus - Using Green’s Theorem

vector and commercial 0:48:56

vector and commercial calculus -Prove Green's theorem, Line integral through surface integral P...

Calculus 3: Green's 0:05:14

Calculus 3: Green's Theorem (21 of 21) More Examples 4

Multivariable Calculus: Green’s 0:10:41

Multivariable Calculus: Green’s Theorem Examples (16.4)

A unified view 0:08:18

A unified view of Vector Calculus (Stoke's Theorem, Divergence Theorem & Green's Theor...

Green*s Theorem...#shorts ... 0:00:06

Green*s Theorem...#shorts ...

Green's Theorem 0:06:42

Green's Theorem

Another Green's Theorem 0:04:02

Another Green's Theorem example

Calculus 3: Green's 0:07:31

Calculus 3: Green's Theorem (15 of 21) More Examples 1

Greens' Theorem - 0:22:49

Greens' Theorem - Idea and examples

Green's Theorem 0:06:42

Green's Theorem

Greens theorem example 0:04:33

Greens theorem example parallelogram oriented clockwise

Green's theorem example 0:05:00

Green's theorem example | Vector Calculus | LetThereBeMath |

2D Green's Theorem 0:18:22

2D Green's Theorem Example: Solving Both Sides of the Equation

Green's Theorem Example, 0:09:54

Green's Theorem Example, Multivariable Calculus

Ex: Use Green's 0:07:35

Ex: Use Green's Theorem to Determine Area of a Region Enclosed by a Curve

Curl, Circulation, and 0:07:55

Curl, Circulation, and Green's Theorem // Vector Calculus

Комментарии
Автор

I don't understand the Jacobian for this transformation being -1/2, As I understood it the Jacobian matrix is | (partial x WRT u) followed by (partial x WRT v) on top and (partial y WRT u) followed by (partial y WRT v) | on the bottom, basically the inverse of what is written at 8:11. I was so confused about the inverting strategy that I ran the calculation the way I learned it and ended up with J = -2. I went and watched some other Jacobian videos that show the same process I learned, and put the equations U=x+y and V=x-y into an online Jacobian calculator all resulting in J = -2. The calculation still results an answer of zero for the double integral. Can you provide any more clarity on doing the Jacobian in the manner you describe because I can't seem to make it check out in this instance.

jacobmaguire