RMAN bkp through oracle scheduler for noarchivelog mode db

[Mitu08]

All,

I am trying to schedule an RMAN backup through oracle scheduler jobs for a database which is noarchivelog mode. Below is the script i am trying and facing errors..
Pls highlight the mistake

/ora/sw/app/oracle/product/11gr2/bin/rman target / nocatalog << EOF >  /ora/ls/$ORACLE_SID/log/`echo $ORACLE_SID`_daily_rmanbkp_`echo $dte`.log
shutdown immediate
startup mount
backup database;
SQL 'ALTER DATABASE OPEN';
#backup as compressed backupset full database plus archivelog delete all input;
sql "alter database backup controlfile to trace as ''/ora/b1/ctl/$ORACLE_SID/controlfile_$dte.txt'' ";
EOF