Difference between revisions of "Parametrization"
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| − | ''' | + | '''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. |
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| + | The most common parametrization is for a circle centered at the origin in the ''xy''-plane: | ||
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| + | :<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]]. | ||
Revision as of 21:03, January 10, 2010
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.