Ulster's talisman Ruan Pienaar kicked immaculately to register 18 points but tries in each half from back row duo Shane Jennings and Jamie Heaslip secured Schmidt a fitting send-off after three seasons in charge.
Both sides remain in contention for a place in the RaboDirect PRO12 play-offs this term, with the two matches scheduled for the weekend of May 16/17/18, while the RaboDirect PRO12 Final scheduled for May 31.
Leinster are second in the table after 12 rounds just three points behind leaders Munster while Ulster sit fourth after climbing their way back into the play-off places.
Between last year's two finalists sit Ospreys while Glasgow Warriors are fifth, hot on the heels of Ulster and the final play-off spot.
Whichever teams make it to the play-offs and the RaboDirectPRO12 Final it promises to be a feast of rugby so make sure you mark the date in your diary.
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