Due date: Friday, 12/6/13.
(Do all the problems by this date, but do not hand any in.)
Last update made by D. Groisser Dec 4 18:45:32 EST 2013
Don’t make the mistake of thinking that I’m collecting only the problems I think are important. The “due date” above is the date that your written-up problems should be handed in, but don’t wait to get started on the assignment. You should always get started on problems as soon as we cover the relevant material in class.
- A: Rosenlicht pp. 90–95/ 1, 3, 4, 6, 7 (do this one efficiently by using the result of #3), 8-10, 13-19, 21, 29b. “Discuss the continuity of …” means: Determine, with proof, at which points the indicated function is/isn’t continuous. In #16, to use Rosenlicht’s hint, make sure you justify it. (Remember that under a continuous function, the image of an arbitrary closed set in an arbitrary metric space need not be closed. The recent handout I posted gives examples.)
- B: Click here for non-book problems.