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3 cards from this section. Quick, good the night before a test.
Define a finite difference.
Think about how we determine changes in function values.
What is the formula for the first forward difference?
Remember how you calculate the change in function value.
What is the first forward difference for f(1) if f(1)=1 and f(2)=8?
Look at the values of f at points 1 and 2.
True or False: The second forward difference is calculated from the first forward differences.
Recall how the terms relate to each other.
Calculate the first and second forward differences for the function defined at points x = 2, 4, 6, 8 with values 3, 12, 27, 48.
Use the same forward difference formulas.
Explain the significance of finite differences in the derivation of numerical differentiation techniques.
Make connections between finite differences and slope calculations!
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