PHYS171
Principles of Physics I
Prof. Arthur La Porta
Assistant Professor, Department of Physics,
Institute of Physical Science and Technology
Maryland Biophysics Program
[email protected]
Rm 1111, IPST building (building #085)
Chapter 1
Propagation of errors
I measure certain quantity
x
with known uncertainty.
I calculate something from the measurements,
y=f(x).
What is the uncertainty in
y
?
This applies when there is only one variable.
Notation: this is a “partial derivative.”
Partial derivative means we
take the derivative, assume that any other variables are not allowed
to vary.
x
f
x
f
σ
σ
⎟
⎠
⎞
⎜
⎝
⎛
∂
∂
=

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