FLC OF A DHC8 FAILED TO FOLLOW THE DEP TRACK DURING CLBOUT CAUSING ATC TO INTERVENE AND PROVIDE A DIRECT COURSE TO THE NEXT FLT PLAN FIX.

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I AM AN INSTRUCTOR PLT (FLT AND SIMULATOR) FOR ACR X. THIS WAS MY FIRST LINE TRIP IN 12 MONTHS AND I WAS FLYING WITH A LINE CHK AIRMAN DUE TO THE FACT I WAS EXPIRED FOR A LINE CHK AND COULD NOT ACT AS PIC. I AM A CAPT AND WAS OCCUPYING THE L SEAT. DURING OUR PREDEP PREPARATION; IT WAS NOT NOTICED THAT ON OUR FLT PLAN (WHICH INVOLVES AT SOME POINT INTERCEPTING THE HAR 039 DEG RADIAL) WAS NOT PROGRAMMED INTO THE KNS 660 RNAV (THE HAR 039 DEG PORTION). WE DEPARTED AND WERE CLRED TO JOIN THE 039 DEG RADIAL. I WAS NAVING USING THE RMI SINCE HE HAD SELECTED THE HAR 039 DEG RADIAL ON HIS HSI. HE NOTICED THIS AND SAW IT WASN'T PROGRAMMED IN THE KNS 660. HE THEN PROGRAMMED IT IN. THE ONLY PROB WAS HE PROGRAMMED HAR 03939 (39 DME). THE AIRWAY IS INTERCEPTED (THE SEG 101 DEG RADIAL) AT 29 DME. HE HAD DIALED IN THE SEG 101 DEG RADIAL BEFORE HE STARTED PROGRAMMING THE KNS 660. WE THEN NOTICED WE HAD FLOWN THROUGH THE COURSE AND WAS TURNING TO INTERCEPT WHEN ZNY ADVISED US WE MISSED THE AIRWAY AND CLRED US TO GO DIRECT FJC VOR. NOTHING FURTHER WAS SAID BY HIM. WE WERE ABOUT THE SEG 101 DEG RADIAL AND 8 DME WHEN WE FLEW THROUGH AIRWAY ABOUT 10 DEGS; SO I DOUBT WE WERE ACTUALLY OFF THE AIRWAY.