Multivariable calculus

Multivariable calculus is a college-level topic of study that typically includes:

* Vector space
* equations of planes, finding lines perpendicular to planes
* dot product
* cross product
* Arc length, area and volume
* recognizing shapes of different functions
* area between curves
* volume of intersecting solids
* disk, circular ring and cylindrical shell formulas
* Vector fields
* gradient
* divergence
* curl
* line integral
* parameterization
* conservative field
* defined by line integral, contour integral, curl, and gradient
* surface integral
* isolating singularities
* Green's Theorem
* solving integrals split into separate expressions for dx and dy
* finding area enclosed by a contour
* Stoke's Theorem
* solving contour integrals when curl over capping surface can be found, and vice-versa
* Divergence Theorem
* solving volume integrals for divergence when enclosing surface integral can be found, and vice-versa
* multiple integrals
* substitution
* curvilinear coordinates
* Maxima
* with constraints (Lagrangian multiplier and Hessian)
* parametrization
* related rates (e.g., filling volumes)
* continuity
* limits
* differentiability
* L'Hopital's Rule
* partial derivatives
* Jacobian
* Power series
* Taylor series

## See also[edit]

* Calc3.1