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Quiz # 2 Review Sheet:

The quiz on Friday will consist of definitions, and will be brief. Your wording on a definition must be precise, and you will be required to give both a symbolic form and a verbal interpretation of the symbols. (Recall that an interpretation is a conceptual translation, not a symbol-by-symbol transliteration.) You may be asked to produce examples or verify that something satisfies the requirements of a definition. The ideas you should know include:

$f\colon X \to Y$
$f^{-1}\colon Y \to X$
$f\circ g$
$f$ is one-to-one
$f$ is onto
$f$ is a bijection
$f=g$
${\rm id}_X$
$f(A)$
$f^{-1}(B)$

$R$ is a relation on $X$
$R$ is reflexive
$R$ is symmetric
$R$ is transitive
$\equiv$ is an equivalence relation on $X$
$[a]$
$X/\mathord{\sim}$



[HOME] Math 199 (Fall 2005) web pages
Created: 01 Sep 2005
Last modified: Nov 13, 2005 9:41:35 PM
Comments to: dpvc@union.edu
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