Exam1Fall2011Solution

# Exam1Fall2011Solution - Name: PIN: MATH 4093-010 Exam 1 You...

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Unformatted text preview: Name: PIN: MATH 4093-010 Exam 1 You must show all your work in a clear, clutter free format to receive full credit on each problem. This is a closed book test. Please do your final work on either the paper provided or clean lined paper and staple this cover sheet to the front of your work. Remember to leave room for the staple when writing up your work. (1) (10 pts.) Define the following sets: The Natural Numbers, The Integers, The Rational Numbers. The set of Natural Number are { 1, 2, 3, ... } . The set of Integers are { ..., -3, -2, -1, 0, 1, 2, 3, ... } . The set of Rational Numbers are { p q | p, q Z , q = 0 } . (2) (10 pts.) Define the following terms in a way consistent with the definitions given in class (or the book): (a) function A map from a set A to a set B such that for each element in A there is a unique cooresponding element it is mapped to in B . (b) supremum s is the supremum of a set A provided: s is an upper bound for A ( a A, a s ), and for any upper bound on the set...
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## This note was uploaded on 01/17/2012 for the course MATH 409 taught by Professor Dr.peterwhite during the Fall '11 term at Tarleton.

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Exam1Fall2011Solution - Name: PIN: MATH 4093-010 Exam 1 You...

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