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Greens theorem and parametrization

  1. Jan 27, 2013 #1
    Hello. I just wonder if anybody know if there are any rules, when to use parametrization to greens theorem in a vector line integral over a plane. Becouse, it seems sometimes, you have to parametrizice, and other places you dont. I get confused.
  2. jcsd
  3. Jan 27, 2013 #2
    It's completely up to you. Of course sometimes you might be asked to re-parametrize or not depending on the problem, but in general it doesn't make a difference. The whole point of parameterizing is to re-write functions in a different way, with the goal of making your parametrization simpler than the problem you began with. So even though one way might be easier than the other, it's totally up to you when to parametrize.
  4. Jan 29, 2013 #3
    Usually you always parameterize the line integral in greens, and don't parameterize the double integral for the region bounded by the line, parameterization for those only comes in handy for not non flat surfaces ie. for the more general Stokes theorem for R3 and up.
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