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3 cards from this section. Quick, good the night before a test.
What does the forward difference formula approximate?
Think about how we use previous and future values to estimate a rate of change.
Which integration method uses polynomial interpolation?
These formulas fit a polynomial to discrete data points.
What is the central difference method’s error reduction rate?
Use 'h' to think about how error varies.
True or False: The trapezoidal rule provides a higher accuracy than Simpson's rule.
Remember which method fits a line and which fits a curve.
Using a data set of (1, 3), (2, 5), and (3, 9), compute the derivative at x=2 using the forward and backward difference methods. Compare their results.
Calculate both approximations and discuss why they differ.
If given the integral of sin(x) from 0 to π using Simpson’s Rule with n=2 intervals, calculate and compare it to the value obtained through trapezoidal rule.
Assess how both methods depict the shape and area under the curve.
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