Notice of Taxes - Any Logic?

I had this notice of Taxes from county in my mail. Says this-

On December 1, 2009, the Gwinnett county Board of Commissioners adopted millage rate of 13.25 per $1000 of assessed property value. This represents an increase of 2.28 mills over the rate used for the temporary tax bill you received in September 2009.

You are receiving this bill because of the increase in the millage rate. the amount due for the "2009 Final Millage Rate Adjustment" is the additional amount you owe. You must pay this amount in full by the "DUE DATE" to avoid penalties and interest. NOTE: This billing is based upon the 2009 tax digest and taxes have been calculated using 2009 property values.

two problems:

• They have adjusted the rate on December 1, 2009 - last month of the year - but expecting to apply to whole year

• I have closed the house on September 15th 2009 - I am just off the phone with customer no service of Gwinnett County Tax Commissioner - she told me suck it up - you are responsible for the whole years worth of adjustment even though i had owned this house only for under one quarter of the year...

Any logic here? please..... Any logic?