I get an error using the following curl too:

curl 7.20.1 (x86_64-mandriva-linux-gnu) libcurl/7.20.1 OpenSSL/1.0.0a zlib/1.2.3 libidn/1.18 libssh2/1.2.5
Protocols: dict file ftp ftps http https imap imaps ldap ldaps pop3 pop3s rtsp scp sftp smtp smtps telnet tftp 
Features: GSS-Negotiate IDN IPv6 Largefile NTLM SSL libz 

The same URL sends wget into a loop:

$ LANG=C wget -v -O - https://ui2web1.apps.uillinois.edu/BANPROD1/bwskfcls.P_GetCrse
--2011-02-16 12:01:39--  https://ui2web1.apps.uillinois.edu/BANPROD1/bwskfcls.P_GetCrse
Resolving ui2web1.apps.uillinois.edu... 64.22.183.24
Connecting to ui2web1.apps.uillinois.edu|64.22.183.24|:443... connected.
HTTP request sent, awaiting response... No data received.
Retrying.

--2011-02-16 12:01:40--  (try: 2)  https://ui2web1.apps.uillinois.edu/BANPROD1/bwskfcls.P_GetCrse
Connecting to ui2web1.apps.uillinois.edu|64.22.183.24|:443... connected.
HTTP request sent, awaiting response... No data received.
Retrying.

--2011-02-16 12:01:43--  (try: 3)  https://ui2web1.apps.uillinois.edu/BANPROD1/bwskfcls.P_GetCrse
Connecting to ui2web1.apps.uillinois.edu|64.22.183.24|:443... connected.
HTTP request sent, awaiting response... No data received.
Retrying.


IMO, this all points to the remote server being poorly compliant. Senthil's solution seems good enough here.