---
tag: 0ZG9QF40HE
kind: concept
name: Parametrised surface
aliases: [parametric-surface]
msc: [53A05]
sources:
  - url: https://en.wikipedia.org/wiki/Parametric_surface
    locator: lead section
same_as:
  wikidata: Q1071743
  wikipedia: Parametric surface
---

## Summary

A parametrised surface is a surface in $\mathbb{R}^3$ given by a map of two parameters into space.
Surfaces in Stokes' theorem and the divergence theorem are often given in this form.
From a parametrisation one can compute the surface area, the normal vectors and the curvature of the surface.