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a start with example
'''Parameterization''' is a technique in calculus for expressing multiple variables in terms of only one variable, which is usually depicted as "t", over a specified range.
'''Parametrization''' is a technique in calculus for expressing multiple variables in terms of only one variable, which is usually depicted as "t", over a specified range.
The most common parametrization is for a circle centered at the origin in the ''xy''-plane:
:<math>x=r \cos t</math>
:<math>y=r \sin t</math>
:<math>z=0</math>
:<math>0<=t<=2\pi</math>
Always remember to be precise in determining the new limits on the new parameter ''t''.
This technique is particularly useful for calculating [[extrema]] and [[line integrals]].
This technique is particularly useful for calculating [[extrema]] and [[line integrals]].