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Green's, Stokes', and the divergence theorems This course is a part of Multivariable calculus , a 5-course Topic series from Khan Academy. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. We tackle math, science, computer programming, history, art history, economics, and more.
Green's theorem is all about taking this idea of fluid rotation around the boundary of R \redE{R} R start color #bc2612, R, end color #bc2612, and relating it to what goes on inside R \redE{R} R start color #bc2612, R, end color #bc2612. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Here we cover four different ways to extend the fundamental theorem of calculus to multiple dimensions.
Typical concepts or operations may include: limits and continuity, partial differentiation, multiple … Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.
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