MATH 272 (Spring semester, 2002/3) Course grading: There were 5 homeworks, each marked out of 100 points. The sums of each student's 5 scores are in the obvious file. Each sum will be divided by 5 and considered as one exam score. Thus, in effect, in this course there were three in-term exams. The final exam counts a third again as much as an in-term exam. In determining letter-grades, I shall consider also what happens when each student's lowest exam grade is ignored. ********************************************************************** Scores for the second exam are in the obvious file. They are generally lower than I had hoped they might be. I think all of the problems on that exam were good ones; therefore I recommend that you work out correct solutions before the final exam. The exam will cover everything we have done in the semester. FINAL EXAM: Sunday, June 15, at 15.00, *after* the entrance exams that day. ********************************************************************** We are meeting: on Saturdays at 9.00 (in the morning!); and on Mondays at 17.40 (in the evening). There will be class on Monday, 19 May, at 13.30, but *not* on Saturday, 17 May. The class on 19 May is the last for the semester; however: The second exam will be on Sunday, 25 May, at 10.00. This will cover the topics we have covered in Apostol's chapters 9 and 12. The first exam has been rescheduled (by student request) for Sunday, 27 April, 10.00. There will be no class on Saturday 19 April and 26 April. Instead, there will be a class on Wednesday, 23 April, 9.00. The first exam will cover the topics that we have covered in class from ch. 6--8 of Apostol's book. As for Math 271, so for Math 272 I shall try to make my own notes available here, in the files . THESE NOTES ARE NOT A SUBSTITUTE FOR THE LECTURES. COURSE CONTENT: I plan to cover the following chapters in the second edition of Tom Apostol's _Mathematical Analysis_ (although I shall not necessarily cover all of each chapter): ch. 6 (functions of bounded variation) ch. 7 (Riemann--Stieltjes integral) ch. 8 (infinite series and products) ch. 9 (sequences of functions) [ch. 12 (multi-variable differential calculus)] ch. 13 (inverse function theorem) ch. 14 (multiple integrals) For the latter subjects, an alternative reference is Michael Spivak's _Calculus on Manifolds_. HOMEWORK: 1. Clean solutions to the final exam of Math 271. 2. Exercises 6.1, 6.2 and 6.5 from Apostol. 3. Exercises 7.1, 7.2 and 7.6 4. Exercises 8.4, 8.5 and 8.7 5. 8.15, 25, 28, 40, 46 (not collected) 6. 9.2, 3, 10, 31 Additional problems, not collected: 12.1, 2, 3, 7, 8, 15 13.2 14.3, 4, 5, 8