Multivariable Calculus

Definition

Multivariable calculus is a branch of calculus that deals with functions of multiple variables, where the variables can change simultaneously. It involves studying concepts such as partial derivatives, multiple integrals, and vector fields.

Analogy

Think of multivariable calculus as navigating through a three-dimensional space. Just like how you need different directions (x, y, z) to pinpoint a location in 3D space, multivariable calculus uses multiple variables to describe and analyze functions in higher dimensions.

Related terms

Partial Derivative: A partial derivative measures the rate at which a function changes with respect to one variable while holding all other variables constant.

Multiple Integrals: Multiple integrals extend the concept of integration from single-variable functions to functions with multiple variables.

Vector Fields: Vector fields are mathematical objects that assign a vector to each point in space. They are used to represent physical quantities such as velocity or force.