Math. 311 Spring 2000
HOMEWORK SUMMARY REPORT
Assignment number: 12
Problem number: 7.5.1
Number of papers received: 1
Reviewing committee (Greek letter): xi
List all participating members: Kyle R. Brady
Mason Drew
Author[s] of paper[s] chosen for publication: [...]
Comments:
... has a good solution; he just needs to rewrite his explanation at
the bottom to make it more clear.
INSTRUCTOR'S COMMENT: The grader and I did not think that this paper
reached to the central point of the exercise. See the Fall '96 solution
or pp. 110-111 of the Schaum's Outline book on Vector Analysis. Briefly,
the point is that Green's theorem for the 2-dimensional vector field (M,N)
is the same formula as the two-dimensional Gauss's theorem for the vector
field (N,-M); rotating the vector field by 90 degrees this way is
equivalent to replacing the unit tangent vector to the curve by the unit
normal vector.