You must go through the college's proxy server in order for your BCTC username/password to work. The proxied links on the library web page ( see proxied databases at the libraries article page , for example) are set up to automatically redirect you to the BCTC EZproxy first.
You enter your login/password information, and then you are redirected to the database itself. If you try to bypass the proxy server by going directly to the vendor's site, the database vendor will not recognize that you are a BCTC student, and won't permit access. The BCTC EZproxy server is the "gatekeeper" that checks to see if you are an off-campus BCTC student before you are allowed access.