Stewart Calculus - Vector Calculus

Stewart Calculus - Vector Calculus

Jonathan Walters via YouTube Direct link

Line Integrals of Scalar Functions: Evaluate Line Integrals : Contour Integrals

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1 of 10

Line Integrals of Scalar Functions: Evaluate Line Integrals : Contour Integrals

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Stewart Calculus - Vector Calculus

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  1. 1 Line Integrals of Scalar Functions: Evaluate Line Integrals : Contour Integrals
  2. 2 Line Integral of a Vector Field :: F(x,y,z) = sin(x) i + cos(y) j + xz k
  3. 3 Fundamental Theorem for Line Integrals :: Conservative Vector Field Line Integral
  4. 4 Green's Theorem Examples
  5. 5 Scalar Surface Integral ∫∫ x^2yz dS where S is part of the plane z=1+2x+3y
  6. 6 Scalar Surface Integral ∫∫xy dS, S is the triangular region (1,0,0), (0,2,0), (0,0,2)
  7. 7 Evaluate the Surface Integral over the Helicoid r(u,v) = ucos v i + usin v j + v k
  8. 8 Find the Flux of the Vector Field F = x i + y j + z^4 k Through the Cone with Downward Orientation
  9. 9 Use Stokes' Theorem to Evaluate the Surface Integral
  10. 10 Divergence Theorem:: Find the flux of F = ( cos(z) + xy^2, xexp(-z), sin(y)+x^2z )

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