Calculus and change
Euler's method
A first-order numerical method that advances an approximate differential-equation solution using the current slope.
In one sentence
What does Euler's method mean?
A first-order numerical method that advances an approximate differential-equation solution using the current slope.
How it is written
yₙ₊₁=yₙ+h f(tₙ,yₙ)
A compact example
Starting at y=1 with slope 2 and step 0.1 gives next value 1.2.
Other names and search terms
forward Euler.
Where this fits
When should you learn Euler's method?
The first encounter is not the final level. Many ideas begin visually, become computational in high school and become formal in college.
- 1Pre-high schoolPrepare foundations
- 2High schoolUsually introduced
- 3CollegeGreater depth
- 4AdvancedGreater depth
- Calculus
- Differential equations
- Functions
- Algebra
- Trigonometry
- Continuous models
- Wave equations
- Optimisation
Derivatives and integrals describe evolution, waves and measurable quantities.
Open the Zero-to-QM pathClear answers
Questions about Euler's method
What does Euler's method mean in mathematics?
A first-order numerical method that advances an approximate differential-equation solution using the current slope.
How is Euler's method written?
A common notation is yₙ₊₁=yₙ+h f(tₙ,yₙ).
What is an example of Euler's method?
Starting at y=1 with slope 2 and step 0.1 gives next value 1.2.