midterm notes

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