The quiz on Monday 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}
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