M 311                                           Spring 2004
                                                                                
                HOMEWORK SUMMARY REPORT
                                                                                
                                                                                
Chapter number: 7
                                                                                
Section number: 5
                                                                                
Exercise number: 4
                                                                                
Number of papers received: 2
                                                                                
Reviewing committee: Theta
                                                                                
List all participating committee members:
    Jason Madsen, Xuija Zhang
                                                                                
Author(s) of paper(s) chosen for publication:  David White
                                                                                
Comments:
                                                                                
David's paper gave a complete proof to the problem.  It walked through
each step carefully aiding the reader in understanding all the concepts
being used.
                                                                                
GRADER'S COMMENT:  Both papers wandered off the point, A surface enclosing 
the volume V is divided into S_1 and S_2 by a curve C.  The integrals of 
curl B over S_1 and S_2 must therefore have the same magnitude, by Stokes, 
but opposite sign because they are oriented oppositely.  Therefore, by 
Gauss the integral of div curl B over V is zero.  Since V can be an 
arbitrarily small region around an arbitrary point, div curl B must equal 
0 everywhere.

INSTRUCTOR'S COMMENT:  David has revised his paper in accordance with the 
foregoing remarks, except for the "arbitrarily small and arbitrary point" 
remark (needed to conclude that vanishing integral => vanishing 
integrand).