List of multivariable calculus topics

This is a list of multivariable calculus topics. See also multivariable calculus, vector calculus, list of real analysis topics, list of calculus topics.

* Closed and exact differential forms
* Contact (mathematics)
* Contour integral
* Contour line
* Critical point (mathematics)
* Curl (mathematics)
* Current (mathematics)
* Curvature
* Curvilinear coordinates
* Del
* Differential form
* Differential operator
* Directional derivative
* Divergence
* Divergence theorem
* Double integral
* Equipotential surface
* Euler's theorem on homogeneous functions
* Exterior derivative
* Flux
* Frenet–Serret formulas
* Gauss's law
* Gradient
* Green's theorem
* Green's identities
* Harmonic function
* Helmholtz decomposition
* Hessian matrix
* Hodge star operator
* Inverse function theorem
* Irrotational vector field
* Isoperimetry
* Jacobian matrix
* Lagrange multiplier
* Lamellar vector field
* Laplacian
* Laplacian vector field
* Level set
* Line integral
* Matrix calculus
* Mixed derivatives
* Monkey saddle
* Multiple integral
* Newtonian potential
* Parametric equation
* Parametric surface
* Partial derivative
* Partial differential equation
* Potential
* Real coordinate space
* Saddle point
* Scalar field
* Solenoidal vector field
* Stokes' theorem
* Submersion
* Surface integral
* Symmetry of second derivatives
* Taylor's theorem
* Total derivative
* Vector field
* Vector operator
* Vector potential