Parametrization

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 \le t \le \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.