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Merge pull request #1 from rcc02007/master
adc12012 Jan 26, 2017
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Create midterm notes
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Merge pull request #18 from rcc02007/master
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Merge pull request #19 from rcc02007/master
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19 changes: 19 additions & 0 deletions midterm notes
Original file line number Diff line number Diff line change
@@ -0,0 +1,19 @@
Sources of error
Higher precision=higher accuracy for numerical approximation of analytical model
Truncation (approx of function), roundoff error (fixed number of bits)

Roundoff error:
11011 in base 2 = 2^4+2^3+0*2^2+2^1+2^0=27
1.011=2^0+0*2^-1+2^-2+2^-3=1.375
Max 8 bit integer: 2^8

Trunction error:
Taylor series

Root finding:
Bracketing: incremental
Open: newton raphson, modified secant

Optimization
if derivative is know, min max of f(x)
Golden ratio