Feb 11, 2002
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- Introduction to numerical differentiation
	- fundamentally unstable
	- doing limits on the computer

- Can use good old Taylor's formula to get a rule
	- Forward difference formula
		- Error: O(h)
	- Central difference formula
		- Error: O(h^2)

- Generally, we should aim for higher orders 
  of error reduction

- Notice that the error here is intrinsic
	- not due to finite precision arithmetic

- Worked out problems
	- 4.3.1
	- 4.3.3

Feb 13, 2002
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- Recap formulas
	- forward difference
	- central difference

- Two ways of deriving
	- the central difference formula

- Richardson extrapolation
	- examples of obtaining 
	  higher-order formulas

- Worked out problems
	- 4.3.13