MATH215 : Notes done in LaTeX
22 Dec 2011
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S16. 3 path independence, potential functions, and conservative fields. ****how to evaluate the integral along a given curve. ***breaking c into smaller curves that are more easily evaluable . S16. 2 vector fields, work, circulation, and flux . ***how to check whether f is conservative on an open simply-connected region d . ***how to nd the potential function f for a conservative vector eld f: . How to convert a parametric equation r(t) = x(t)i + y(t)j of a curve into a cartesian equation 38. How to convert a parametric equation r(u, v) = x(u, v)i + y(u, v)j + z(u, v)k of a surface into. Green"s theorem (flux-divergence or normal form): a cartesian equation. Let f be a function de ned on a 2d smooth curve c. the line integral of f along c (with respect to arc length ds) is.
