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4 cards from this section. Quick, good the night before a test.
Define numerical differentiation.
Think about what derivative means!
What is the formula for the forward difference method?
Look for the method that uses the next point in the data.
What is the central difference formula?
It uses points around the target value.
True or False: The error in the Trapezoidal Rule decreases quadratically as the number of intervals increases.
Consider how error relates to the number of intervals.
Using the Gaussian Quadrature method, approximate the integral of sin(x) from 0 to π/2.
Think about the optimal nodes for the sine function over that interval.
Demonstrate how varying the step size impacts the error in applying the forward difference method to find the derivative of f(x) = x².
Try computing the derivative with h = 0.1, h = 0.01, and h = 0.001.
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