# am_lect_07 - Announcements Quiz 1 is next week (Wednesday,...

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Announcements Quiz 1 is next week (Wednesday, 2/10) — Start of class, about 15 minutes long, mainly short-answer questions — Based on materials upto the end of this week — Skills list on the website soon — If you have a conflict or need extra time, please email me ASAP [email protected] (email me your schedule for 2/10)

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Definition : n Z is even if m Z , n = 2 m Definition : n Z is odd if m Z , n = 2 m + 1 For now: Assume that no integer is both even and odd — Try proving this yourself! Definition : n Z is a perfect square if k Z , n = k 2 “Proof” that the product of any two perfect squares is a perfect square: Suppose n and m are perfect squares Then, by definition, k Z , n = k 2 and k Z , m = k 2 So nm = k 2 .k 2 = ( k 2 ) 2 which is a perfect square since k 2 Z Then, by definition, k Z , n = k 2 and j Z , m = j 2 So nm = k 2 .j 2 = ( k . j ) 2
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## This note was uploaded on 12/24/2010 for the course CS CS 173 taught by Professor Fleck during the Spring '10 term at University of Illinois, Urbana Champaign.

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am_lect_07 - Announcements Quiz 1 is next week (Wednesday,...

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