# Jacobian

The Jacobian of a function consists of its partial derivatives arranged in matrix form and arises when performing a change of variables in multivariable calculus.

Jacobian is a college-level concept that would be first encountered in a multivariable calculus course.

### Prerequisites

Calculus: | Calculus is the branch of mathematics studying the rate of change of quantities (which can be interpreted as slopes of curves) and the length, area, and volume of objects. |

Matrix: | A matrix is a concise and useful way of uniquely representing and working with linear transformations. In particular, for every linear transformation, there exists exactly one corresponding matrix, and every matrix corresponds to a unique linear transformation. The matrix is an extremely important concept in linear algebra. |

Partial Derivative: | A partial derivative is a derivative of a multivariate function in which all but one of the variables are held fixed during the differentiation. |