Windows Updates for university owned computers are handled by WSUS server. Issues with the updates are usually with the computer itself, not with the WSUS server. There are rare cases when a specific update can cause widespread issue, but these will be handled centrally upon notification from university community or from the service owner.
To troubleshoot basic issues with the Windows Update service on the client machines
2. Follow the instructions and suggested steps
3 . Alternatively - go to http://support.microsoft.com/fixit/ for additional options
http://support.microsoft.com/kb/947821#manual%20fix - please be aware that the fix options are different for different versions of Windows OS
For Windows 7 Microsoft provides a tool called System Update Readiness tool. For Windows 8 and above, as well as for Server 2012 you have to use DISM to repair corrupted files.