Monday, May 9, 2011

How do we evaluate line/path integrals?

Today we began the lesson by reflecting on parameterization of curves. After such a parameterization, we found the arc length of the same curve. This leads into finding the mass of the curve, which takes both parameterization and arc length into consideration. Quite simply, mass is density times the change in arc length. Refer to the first few problems in the text book (p1069) to practice. More explanation can be found here: http://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/part-c-parametric-equations-for-curves/

If you are having trouble with some curves, check this out:


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