Discover published sets by community

Explore tens of thousands of sets crafted by our community.

Calculus Basics

Calculus Theorems

Calculus Review of Trigonometric Identities

Calculus Symbols and Notations

Chain Rule Variations

Conic Sections and Quadratic Equations

Implicit Differentiation

Hyperbolic Functions

Infinite Series Convergence Tests

Laplace Transforms

Partial Derivatives

Parametric Equations

Polar Coordinates and Graphs

Taylor and Maclaurin Series

Stokes' Theorem and Surface Integrals

Flashcards

0/10

Still learning

Choosing an Optimal Surface

Strategies for choosing the most convenient surface for applying Stokes' Theorem to simplify calculations.

Comparison with Divergence Theorem

Differentiating between Stokes' theorem application for curl and Divergence theorem for flux.

Surface with a Closed Boundary

Results of applying Stokes' theorem to a surface with a closed boundary curve.

Conservative Vector Fields

Application of Stokes' theorem to a conservative vector field and the expected result.

Boundary Orientation

Ensuring the orientation of the boundary curve is compatible with the surface for the application of Stokes' theorem.

Non-simple Surfaces

Application of Stokes' theorem to surfaces with holes or discontinuities.

Singularities in Vector Fields

How Stokes' theorem deals with singularities within vector fields.

Vector Field Continuity

The necessity of vector field continuity for the application of Stokes' theorem.

Curl of a Vector Field

Application of Stokes' theorem to relate the surface integral of the curl of a vector field to the line integral around the boundary curve.

Surface Parametrization

How defining a surface with a function of two variables allows for Stokes' theorem to be applied.

Know

Still learning

Click to flip

Know