List of multivariable calculus topics explained

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