Skip to content

# Calculus Glossary

## What is an Integral?

Integrals are a central concept in calculus, representing the accumulation of a quantity over a specified interval. Learn more about integrals and their applications.

## What is Partial Differentiation?

Partial differentiation is the process of finding the derivative of a multivariable function with respect to one variable while keeping the other variables constant, and is a key concept in multivariable calculus.

## What is the Divergence?

Divergence is a scalar measure in vector calculus quantifying the tendency of a vector field to originate from or converge to a given point, crucial in fluid dynamics, electromagnetism, and other fields.

## What is the Divergence Theorem?

The Divergence theorem is a fundamental theorem in vector calculus that connects the divergence of a vector field to the flux of the field through a closed surface, crucial in physics and engineering.

## What are Adaptive Integration Methods?

Adaptive integration methods are numerical techniques for approximating definite integrals by dynamically adjusting integration intervals or the number of nodes based on the local properties of the function, aiming for specified accuracy with minimized function evaluations.

## What are Partial Differential Equations?

Partial differential equations (PDEs) are equations involving an unknown function and its partial derivatives, widely used in mathematics, physics, engineering, and other fields to describe various phenomena and having many solution techniques.

## What are Cartesian Coordinates?

Cartesian coordinates are a coordinate system that represents points in space using ordered pairs or triples of real numbers, widely used in mathematics, physics, engineering, and other fields to describe the position of points, lines, and surfaces.

## What is a Limit?

A limit in calculus is a value that a function approaches as the input approaches a certain value. They provide a foundation for both derivatives and integrals.

## What is a First-Order Differential Equation?

A first-order differential equation involves only the first derivative of an unknown function. Learn about its applications and techniques for solving it.

## What is the Inverse Function Theorem?

The Inverse Function Theorem is a fundamental result in calculus that provides conditions under which a function has an inverse function that is also differentiable