Unformatted text preview: g is injective then g ◦ f is injective. 2(b). Prove, using only the deﬁnition of “surjective,” that if f is surjective and g is surjective then g ◦ f is surjective. 3(a). If g ◦ f is surjective, is g necessarily surjective? Prove or disprove. 3(b). If g ◦ f is surjective, is f necessarily surjective? Prove or disprove. 4(a). If g ◦ f is injective, is g necessarily injective? Prove or disprove. 4(b). If g ◦ f is injective, is f necessarily injective? Prove or disprove. 5. What sort of things would you like the most preparation for, in the remaining time we have available? • Algebra of various sorts [prep for 110/113/114] • Number theory [prep for 113/115] • Calculus/analysis [prep for 104/105/185] • Geometry [prep for 130/140/142/. ..] If you have no interest in a subject, include that also. Feel free to add in any other comments on the class. 1...
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 Fall '07
 COURTNEY
 Math, odd number

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