FTP is as secure as your passwords and the network you're transferring over. Since that probably means the public internet, not very.
A better approach, if the campus facilities allow, would be to just turn on ssh. Then, you can use sftp - it behaves very much like ftp from a user's point of view, except it's encrypted for a higher level of security.
If you have unix boxes on campus, everything's good, they're bound to have sftp. If it's just Windows, you could see about puTTY - it's only a couple hundred Kbytes, and there's a companion program called puTTYsftp or some such. As long as you're allowed programs on your home directories, it shouldn't put you over your disk quota...