Euler's Method

Definition

Euler's Method is a numerical approximation technique used to estimate the value of a function at certain points when its derivative is known. It involves using small steps and linear approximations based on the slope at each point.

Related terms

Differential Equation:

A differential equation relates an unknown function with its derivatives. Euler's Method can be used to approximate solutions for differential equations.

Slope Field:

A graphical representation that shows how the slope (derivative) changes at different points on a plane. It helps visualize how Euler's Method works.

Taylor Series Expansion: A mathematical series that represents a function as an infinite sum of terms derived from its derivatives. Euler's Method can be seen as an approximation using only the first-order term of a Taylor series.