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Flashcards

Vector Calculus Formulas

Blake Pilger Mathematics English 22 cards

Vector Calculus Formulas

Cards in this deck (22)

  1. 1Line IntegralsLine Integrals
  2. 2Flux Along a CurveFlux Along a Curve
  3. 3Work/Flow/CirculationWork/Flow/Circulation
  4. 4Path Integrals for Conservative FieldsPath Integrals for Conservative Fields
  5. 5Conditions for Conservative FieldsConditions for Conservative Fields
  6. 6Green's Theorem (Circulation-Curl or Tangential Form)Green's Theorem (Circulation-Curl or Tangential Form)
  7. 7Green's Theorem (Flux-Divergence or Normal Form)Green's Theorem (Flux-Divergence or Normal Form)
  8. 8Green's Theorem Area FormulaGreen's Theorem Area Formula
  9. 9Surface Area DefinitionSurface Area Definition
  10. 10Surface Area of a Parametrized Surface defined as r(u,v)Surface Area of a Parametrized Surface defined as r(u,v)
  11. 11Surface Area of an Implicit Surface or Level Surface defined by f(x,y,z) = cSurface Area of an Implicit Surface or Level Surface defined by f(x,y,z) = c
  12. 12Surface Area of an Explicit Surface defined by z = f(x,y)Surface Area of an Explicit Surface defined by z = f(x,y)
  13. 13Surface Integral of a Scalar Function where S is defined parametrically by r(u,v)Surface Integral of a Scalar Function where S is defined parametrically by r(u,v)
  14. 14Surface Integral of a Scalar Function where S is defined implicitly by f(x,y,z) = cSurface Integral of a Scalar Function where S is defined implicitly by f(x,y,z) = c
  15. 15Surface Integral of a Scalar Function where S is defined explicitly by z = f(x,y)Surface Integral of a Scalar Function where S is defined explicitly by z = f(x,y)
  16. 16Stokes' TheoremStokes' Theorem
  17. 17curl Fcurl F
  18. 18div Fdiv F
  19. 19Stokes' Theorem: ndsigma for implicit surfaces defined by f(x,y,z) = cStokes' Theorem: ndsigma for implicit surfaces defined by f(x,y,z) = c
  20. 20Stokes' Theorem: ndsigma for parametrized surfaces defined by r(u,v)Stokes' Theorem: ndsigma for parametrized surfaces defined by r(u,v)
  21. 21Divergence TheoremDivergence Theorem
  22. 22—

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Mathematics Flashcards on Vector Calculus Formulas, created by Blake Pilger on 29/11/2021.
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Blake Pilger
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