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Unformatted text preview: g ( x ) := ........................................... . Essay questions: For each question, carefully write a triple spaced, grammatical, essay solving the problem. C1: Given an explicit bijection f : C H between intervals C := [ , 4 ] and H := ( , 4 ) . C2: The powerset P ( S ) of set S , is ... . Give a complete proof that there is no surjection h : S P ( S ). C3: i A number C is algebraic IFF . ii The degree of is ... . C4: A subset M of the plane is convex IFF . C5: Let L ( n ) := n [ n + 1][2 n + 1]. And let R ( n ) := 6 n r =1 r 2 . By induction on n , prove that n N : L ( n ) = R ( n ) ....
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This note was uploaded on 01/26/2012 for the course MHF 3202 taught by Professor Larson during the Fall '09 term at University of Florida.
 Fall '09
 LARSON

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