---
title: "Euler's Method — AP Calc BC Definition & Exam Guide"
description: "Euler's Method approximates solutions to differential equations using repeated tangent-line steps. A BC-only Unit 7 skill that builds on linearization."
canonical: "https://fiveable.me/ap-calc/key-terms/eulers-method"
type: "key-term"
subject: "AP Calculus AB/BC"
---

# Euler's Method — AP Calc BC Definition & Exam Guide

## 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 Study Guides

- [7.5 Approximating Solutions Using Euler’s Method](/ap-calc/unit-7/approximating-solutions-using-eulers-method/study-guide/XZF01jg29LPjZaV7jKjE)
- [Unit 7 Overview: Differential Equations](/ap-calc/unit-7/review/study-guide/iNRxaToienfCUUDM9YGi)

## Review

### Related Terms

- [Differential Equation](/ap-calc/key-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](/ap-calc/key-terms/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.