þÿ<HTML> <HEAD> <TITLE>Extra Credit Problems</TITLE> </HEAD><BODY BGCOLOR="#FFFFFF" LINK="#0000FF" VLINK="#EB0000"> <body> <TABLE Border> <TR ALIGN=CENTER> <TD>Date Listed</TD> <TD>Problems</TD> </TR> <TD>Aug 22</TD> <TD><IMG SRC=problem1.jpg> </TD> </TR> <TR> <TD>Aug 25</TD> <TD>Let f:A!’B be one-to-one and g:B!’A be one to one. Then there exists h:A!’B which is one-to-one and onto. </TD> </TR> <TR> <TD>Sep ?</TD> <TD>Prove 1.7: 18a </TD> </TR> <TR> <TD>Oct ?</TD> <TD>Prove that every bounded sequence has a montone subsequence </TD> </TR> </TABLE> </BODY> </HTML>