MATH 74 HOMEWORK 2: DUE MONDAY 2/5
Formatting guidelines
Last week you proved equations from axioms. This could be done in a mechanical
manner, with few words. (Very few people get excited about this sort of thing, but
explicitly showing how something simple follows from a list of axioms is part of
upper division math life. When you are asked to prove something that seems
“obvious,” it is probably what you’re supposed to do.)
This week you prove more complicated statements— things of the form “if A,
then B.” A proof of such a statement cannot be a long list of equations. It should
be a written explanation of how B follows from A.
•
You should write in complete, coherent English sentences.
•
This does
not
mean write an essay. Just put enough words in that your
homework could conceivably be read aloud without being confusing.
Examples: the proof of Proposition 2 on p. 26 of Solow, or the proof of Proposition
5 on p. 39 of Solow. Notice how he writes in complete sentences although there are
not very many words at all.
Assume that I am familiar with the deﬁnition of any term or notation deﬁned
in the lecture outlines on my web page. (If you have just established that
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 Fall '07
 COURTNEY
 Equations, grade school division

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