A partial government shutdown means that federal employees:
In the following departments could see furloughs.
Department of Homeland Security
Department of Justice
Department of Agriculture
Department of H.U.D.
Unaffected Federal Agencies will be:
The U.S. Postal Service
Department of Transportation
Social Security Checks
Special Council Investigation
Custom and Border Patrol
Here's more info on what might happen should the shutdown begin later this week.