M 311 Spring 2004 HOMEWORK SUMMARY REPORT Chapter number: 5 Section number: 2 Exercise number: 12 Number of papers received: 2 Reviewing committee: Gamma List all participating committee members: Patrick Barrett, Mike Shelby Author(s) of paper(s) chosen for publication: [Kathryn Turner] Comments: One of our papers was not accurate and the other one was accurate but somewhat hard to follow the reasoning. For clarification, the paper chosen will need some revision although it seems that he understood what he was doing. INSTRUCTOR'S COMMENT: (1) I think the other paper was closer to acceptable, but it needs some revision for clarity. (2) Here is a simple argument for part (c) (surjectivity): By definition of Gf as an integral, any function of the form h = Gf satisfies h(0) = 0. So, all functions in the range of G vanish at the origin, and hence G is certainly not surjective.