MAA 3200 Midterm: MAA 3200 FIU Exam 218k
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Exam ii: [5 pts each] short answer: De ne the relation on sets, a (cid:22) b (from velleman, ch 7. 3). De ne the set of rational numbers as done in class. You can use n and/or z for this. You do not have to de ne any operations or partial orders, just the set. Discuss brie y what it means for a number system to be unique, for example, when we say that r is the unique complete ordered eld. (what if it were constructed a di erent way or in another language, etc?) Discuss brie y what it means for an operation on equivalence classes (for example, + on: to be well-de ned. Using an example is ok: [5 pts each] short answer: State the completeness axiom of the real numbers. How was the sequence of functions pm(n) used in our nzq work ? (ex: to de ne something? or just in one speci c proof ?)
