M 311 Spring 2004 HOMEWORK SUMMARY REPORT Chapter number: 3 Section number: 2 Exercise number: 25 Number of papers received: 3 Reviewing committee: zeta List all participating committee members: Zac Robinson, Ashley Pagnotta Author(s) of paper(s) chosen for publication: Kathryn Turner Comments: All three of the papers received showed that they understood the concept of linearity as it is applied to functionals. They all correctly answered parts a, b, and c, but two of the papers did not get part d for the same reason. Both of these papers wrongly determined the function for which they were to test the linearity, applying the test not only to p(t), but also to t itself. The papers were all neatly done and easy to follow. GRADER'S AND INSTRUCTOR'S COMMENT: Actually, the confusion was more widespread than the report indicates. The other authors uniformly tried to consider p(t_1 + t_2) instead of F(p_1 + p_2), where F is the functional in question.