A FALCON 2000 DEPARTING TEB EXCEEDED THE INITIAL 1500 FT LEVELOFF ALT AND TURNED TO A 280 DEG HDG EARLY

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THE CO-PLT FLYING FROM THE L SEAT CONDUCTED THE TKOF FROM THE RWY 24 AT TEB. OUR CLRNC HAS TO FLY THE TEB 5 DEP WITH THE ELIOT TRANSITION AS PUBLISHED. UPON REACHING 1500 FT WE TURN TO A HDG OF 280 DEGS; BUT CONTINUED TO CLB WITH CLB PWR PASSING THROUGH 2000 FT AND FINALLY ARRESTING OUR ASCENT AT 2500 FT. ATC ASKED WHAT ALT WE WERE CLBING TO AND THEN CLRED US IMMEDIATELY TO 8000 FT. WE WERE AT APPROX 3.0 DME WHEN WE PASSED 1500 FT MSL. THE CO-PLT WAS HAND FLYING THE ACFT AND IGNORING THE VERTICAL COMMANDS OF THE FLT DIRECTOR; THE PRE-SELECTOR WAS SET TO 1500 FT AND FLASHING BECAUSE OF THE ALT EXCEEDANCE AND THE COMMAND BARS WERE INDICATING A FLY DOWN COMMAND TO RETURN TO 1500 FT. MY ATTENTION WAS ON THE AFTER TKOF ITEMS AS I WAS NOT CONCERNED ABOUT THE LEVEL OFF UNTIL WE PASSED 1500 FT BECAUSE WE BRIEFED THE PROC ONCE ON THE RAMP AND THEN AGAIN PRIOR TO TKOF. I'M NOT SURE WHY HE DIDN'T FOLLOW THE SID OR COMMAND BARS OR EVEN THE RAW DATA. WE HAD BEEN SITTING ON THE RAMP WITH OUR PAX ONBOARD WITH THE DOOR CLOSED FOR OVER 2+ HRS FOR A GND HOLD; FATIGUE MAY HAVE BEEN A FACTOR.