FO OF A BEECH SUPER KING AIR 200 OVERSHOT ASSIGNED ALT DURING CLB AND CORRECTED BACK AT ONCE WHEN THE CAPT BROUGHT THE MISTAKE TO HIS ATTN.

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CLBING OUT OF APA; DEP CTL CLRED US TO 12000 FT. AT 10000 FT THEY CLRED US TO 15000 FT. THE CAPT (ME) SELECTED 15000 FT IN THE ALT ALERTER AND MADE SURE THE COPLT (PF) WAS AWARE OF OUR NEW ALT. THE CAPT THEN STARTED LOADING THE RTE IN THE GPS (COPLT HAD FAILED TO DO THIS). AT 14000 FT THE ALT ALERTER WENT OFF AND WE CONFIRMED THERE WAS 1000 FT TO GO TO LEVELOFF. THE CAPT WAS BUSY WITH THE GPS WHEN THE NEXT THING I KNEW I LOOKED UP AND SAW WE WERE AT 16000 FT AND CLBING. I TOLD THE COPLT TO GET TO 15000 FT NOW AND ASKED IF DEP GAVE US A NEW ALT. (WE WERE HAVING RADIO PROBS WITH OUR #1 COM AND THOUGHT WE MAY NOT HAVE HEARD DEP GIVE US A NEW ALT.) HE SAID NO; AND I TOLD HIM TO HURRY BACK DOWN TO 15000 FT. DEP THEN CLRED US TO FL200 AND ON COURSE. DEP NEVER SAID ANYTHING ABOUT OUR ALTDEV. THE CAUSE OF THIS PROB WAS THE COPLT'S BEING OBLIVIOUS TO OUR LEVELOFF. I SHOULD HAVE MADE SURE HE LEVELED BECAUSE HE HAS MISSED LEVELOFFS BEFORE. THE COPLT MAY NEED RECURRENT TRAINING TO CONTINUE FLYING BECAUSE CAPT'S WILL NOT TOLERATE ANY MORE ALTDEVS.