CL60 FLT CREW UNFAMILIAR WITH AVIONICS OF NEW JET FAILS TO ABIDE WITH THE 1500 FT MSL ALT RESTR ON THE TEB SID FROM TEB.

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THIS IS A NEWLY ACQUIRED ACFT TO OUR FLT DEPT. ALL AVIONICS AND FMS'S WERE DIFFERENT FROM WHAT WE HAD BEEN FLYING. IT'S A GREAT EXAMPLE OF ADVANCED TECHNOLOGY AND WHAT CAN HAPPEN IF ONE MINOR THING IS OVERLOOKED. THE TEB 5 DEP REQUIRES ACFT DEPARTING RWY 24 TO CLB TO 1500 FT. THEN AT 4.5 DME FROM TEB VOR A R TURN TO 280 DEGS AND CLB TO 2000 FT. WITH THE DEP PROGRAMMED INTO THE FMS; AND THE FLT DIRECTOR ON; ALL WE SHOULD HAVE HAD TO DO WAS FOLLOW THE COMMAND BARS. WHICH IS WHAT THE PF WAS DOING. EXCEPT; THE VERTICAL NAV COMMAND BUTTON WAS OVERLOOKED ON DEP AND THE FLT DIRECTOR WAS COMMANDING A CLB TO 2000 FT WITHOUT RESPECTING THE 1500 FT MSL STOP FIRST. AS WE MADE THE TURN TO 280 DEGS; DEP CONTROL SAID WE WERE AT 1800 FT AND WE WERE SUPPOSED TO BE AT 1500 FT. WE INITIATED A DESCENT IMMEDIATELY TO 1500 FT. THEN WITH THE AIRCRAFT DSNDING SO QUICKLY AND AT 38000 LBS; WE PROCEEDED TO GO BELOW ALTITUDE AGAIN ALTHOUGH NOT AS FAR. WE ALSO HAD A FLT SAFETY INSTRUCTOR ON BOARD WITH US ON THE JUMP SEAT; AND WHEN WE WERE AT A SAFE POINT IN THE FLT I QUESTIONED HIM AS TO WHY THE FMS DID NOT RESPECT THE ALTITUDE RESTR. HE SAID HE DIDN'T NOTICE THAT WE FAILED TO PUSH THE VNAV BUTTON SO THE FLT DIRECTOR WAS JUST DOING WHAT WE PROGRAMMED. HAD WE PROGRAMMED THE FLT DIRECTOR FOR VNAV; HE SAID WE WOULD HAVE BEEN COMMANDED TO LEVEL AT THE 1500 FT RESTR. A GOOD EXAMPLE OF AUTOMATION DOING EXACTLY WHAT IT IS PROGRAMMED TO DO EVEN THOUGH IT HAD ONE SMALL DETAIL MISSING. LEARNING ALL ASPECTS OF NEW EQUIPMENT TAKES TIME AND WE ALL KNOW; SOMETIMES THE EQUIPMENT IS QUICKER THAN WE ARE.