Due Wednesday, April 9
- Sect. 8:
- 8.4(a)*, 8.4(b)**
* This problem requires you to define a function which is a bijection, and you should also PROVE that it is a bijection. Be sure that you know how (i) to define a function between two given sets and (ii) to prove that it is a bijection.
See Defining Functions and Function Warnings.
** READ THE INSTRUCTIONS IN THE BOOK. You can restrict your proof in (b) to BOUNDED open intervals if you explain why this restriction is relevant. (Roughly speaking, a bounded interval is an interval for which ∞ is not an endpoint.) READ THE INSTRUCTIONS IN THE BOOK.
NOTE: Be sure READ THE INSTRUCTIONS ABOVE and to read Homework Format and Homework Writing Policy BEFORE writing up your solutions to be turned in.
NOTE: As stated on the Course Home Page, all due dates are tentative. Assignments, or parts of assignments, may be postponed to a later date.
Last modified Apr 5, 2008 10:55 PM
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