estimated tax for new contract employee

[lynnerself]

DS got a part time job as a contract employee late last year.
He made about $9000 in the last 4 months of the year.
There has been no SS or tax withheld.
The year before he was a student with no taxes due.
If we did the worksheet right, he is OK not to pay any estimated tax because he had no taxes due last year.
He can wait and pay anything he owes (income and self employment tax) when if files his tax return.

Is this correct?

[Ombud]

For 2014, yes. But he may want to make quarterly payments for 2015.