Euler’s Method (AQA A-Level Further Maths): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
ShowHide
Practise the questions
10 questions from this quiz
What is Euler's method primarily used for?
What is Euler's method primarily used for?
Approximating solutions to diff. eqns.
In the basic Euler formula , what does represent?
In the basic Euler formula , what does represent?
The step length
What does represent in Euler's method?
What does represent in Euler's method?
The gradient at point
How does reducing the step length affect accuracy?
How does reducing the step length affect accuracy?
Produces more accurate results
Where are Euler approximations positioned when the curve is concave?
Where are Euler approximations positioned when the curve is concave?
Above the curve
What is the formula for relative error?
What is the formula for relative error?
(approx. - exact) / exact
What makes the improved Euler method more accurate?
What makes the improved Euler method more accurate?
Uses average of 2 gradients
In improved Euler, what is the formula for ?
In improved Euler, what is the formula for ?
What is the midpoint method formula?
What is the midpoint method formula?
If only given for midpoint method, what must you do first?
If only given for midpoint method, what must you do first?
Use basic Euler to find