Pandas datetime column to ordinal

I'm trying to create a new Pandas dataframe column with ordinal day from a datetime column:

import pandas as pd
from datetime import datetime

print df.ix[0:5]
                              date
file                              
gom3_197801.nc 2011-02-16 00:00:00
gom3_197802.nc 2011-02-16 00:00:00
gom3_197803.nc 2011-02-15 00:00:00
gom3_197804.nc 2011-02-17 00:00:00
gom3_197805.nc 2011-11-14 00:00:00

df['date'][0].toordinal()

Out[6]:
734184

df['date'].toordinal()

---------------------------------------------------------------------------
AttributeError                            Traceback (most recent call last)
<ipython-input-7-dbfd5e8b60f0> in <module>()
----> 1 df['date'].toordinal()

AttributeError: 'Series' object has no attribute 'toordinal'

I guess this is a basic question, but I've struggled reading docs for last 30 minutes.

How can I create an ordinal time column for my dataframe?