NOTE 1: Be sure to read Homework Format and Homework Writing Policy BEFORE writing up your solutions to be turned in.
NOTE 2: When two or more Lessons are to be turned in on the same day, please staple the Lessons separately and turn them in separately.
Due Monday, February 18
PLEASE READ, UNDERSTAND, AND DIGEST THE INSTRUCTIONS BELOW.
- Sect. 4:
- 4.12, 4.13*(a)(c)**, 4.14*(a)(b)
* Be efficient in your proofs (e.g., don't repeat work that you've already done).
Note that usually the best way of proving something about IRRATIONAL numbers is to use some kind of negation or contrapositive or contradiction argument, since the definition of IRRATIONAL is simply NOT RATIONAL.
When giving counterexamples involving irrational numbers, you don't have to give a proof that the specific numbers you are using are irrational; you can rely on “well-known” facts about specific numbers being irrational.
**Follow the hint in the book for 4.13(c), making sure you know what the book means by a “proof by contradiction”.
AS ALWAYS, be efficient in your proofs (e.g., don't repeat work that you've already done), but also be complete.
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 Feb 19, 2008 4:02 PM
Go to Lesson 12b (due Feb 20).
Go to Lesson 13b (due Feb 20).
Go to Lesson 17 (due Feb 20).
Go to Lesson 16a (due Feb 22).
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