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Unformatted text preview: g is injective then g f is injective. 2(b). Prove, using only the denition 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