1. For example, if 8/4/2013 is a Sunday, then 8/4/2014 would be a Monday, 8/4/2015 is a Tuesday, and 8/4/2016 would be a Thursday (because it's a leap year). Then let $0=$ Sunday, $1=$ Monday, etc, mod 7; do the adding and subtracting.
2. Or, here's a more "non-mathematical" way.