If you are running Mac OS X v10.5 "Leopard" or later, then within the confines of the campus network it is possible to access your Windows H: drive directly via cifs.
When off campus and/or if you are running Mac OS X v10.4 "Tiger" then you should use "web folders" or the File Transfer Utility program in RAS.
To make a cifs connection to your H: drive on your Mac you need to know which TOWER server and which SHARE on that server constitutes your H: drive. If you do not know this then the best way to find this information is to open the CMDInfo utility on a cluster / campus managed PC.
The example outlined here is for user a2345678 on Tower7 share home42

Click "Connect" and enter your Campus login details as shown here:

Click "Connect"