ASL STEM

Stoke's Theorem Sign Video

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Definition

Let S be an oriented piecewise-smooth surface that is bounded by a simple, closed, piecewise-smooth boundary curve C with positive orientation. Let F be a vector field whose components have continuous partial derivatives on an open region in R^3 that contains S. Then int_C F*dr = int int_S curl F*dS.

Source: Multivariable Calculus, 7th edition by James Stewart

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> Mathematics

> Multivariable Calculus

> Stoke's Theorem

+ Harmonic Series *

+ Power Series *

+ Conditionally Convergent *

+ Alternating Series *

+ Trigonometric Series *

+ Parametric Curve *

+ Polar Coordinates *

+ Parametric Equations *

+ Absolutely Convergent *

+ Maclaurin Series *

+ Closed Surve *

+ Laplace Operator *

+ Bessel Function *

+ Harmonic Function *

+ Alternating Series Test *

+ Tautochrone Problem *

+ Conchoid Of Nicomedes *

+ Bounded Above *

+ Bounded Below *

+ Bounded Sequence *

+ Kepler's Laws *

+ Least Upper Bound *

+ Monotonic Sequence Theorem *

+ Partial Sum *

+ Direction Numbers *

+ Symmetric Equations *

+ Parabolic Cylinder *

+ Elliptic Paraboloid *

+ Hyperbolic Paraboloid *

+ Hyperboloid *

+ One Sheeted Hyperboloid *

+ Two Sheeted Hyperboloid *

+ Vector Function *

+ Space Curve *

+ Toroidal Spiral *

+ Trefoil Knot *

+ Parametrization *

+ Smooth Function *

+ Binormal Vector *

+ Normal Plane *

+ Osculating Plane *

+ Osculating Circle *

+ Level Curve *

+ Potential Function *

+ Level Surface *

+ Clairaut's Theorem *

+ Negative Orientation *

+ Tangent Plane *

+ Linear Approximation *

+ Differential *

+ Implicit Differentiation *

+ Iterated Integral *

+ Probability Density Function *

+ Continuous Random Variable *

+ Cylindrical Coordinates *

+ Spherical Coordinates *

+ Spherical Wedge *

+ Scalar Field *

+ Line Integral *

+ Conservative Vector Field *

+ Gradient Vector Field *

+ Simple Curve *

+ Positive Orientation *

+ Green's Theorem *

+ Incompressible *

+ Parametric Surface *

+ Surface Integral *

+ Flux Integral *

- Stoke's Theorem *

+ Divergence Theorem *

+ Tangent Vector *

+ Unit Tangent Vector *

+ Fibonacci Sequence

+ Second Derivative Test *

* video needed

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