A319 CREW HAD A TRACK DEV DEPARTING THE RENO 3 SID; WHEN THE CAPT FLEW THE ENG OUT PROC.

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THE FOLLOWING OCCURRED ON THE FINAL LEG OF OUR 4 DAY TRIP; JUST AFTER TKOF FROM RENO. AIRBUS 319 WAS CLRED RENO 3 DEP; RWY HDG; AS FILED; MAINTAIN 15000 FT; DEP 119.2. CANNOT REMEMBER THE SQUAWK. CAPT GAVE A COMPLETE BRIEFING AS PER THE COMPANY FOM AND I HAD NO QUESTIONS. WE WERE CLRED FOR TKOF AND DEPARTED AT XG44. UPON ROTATION; CAPT CALLED GEAR UP AFTER A POSITIVE RATE OF CLB AND THEN MISTAKENLY CALLED MANAGED NAV. I INITIALLY SELECTED MANAGED NAV AS COMMANDED BUT AS PER COMPANY FOM; I IMMEDIATELY REMINDED CAPT THE CLRNC WAS RWY HDG WHICH MEANT FOR HIM TO CALL HDG 164 DEGS INSTEAD OF MANAGED NAV. I THEN SELECTED RWY HDG. THE AUTOPLT WAS DISCONNECTED AT THIS TIME. WE PROCEEDED FOR APPROX 3-4 MI UNTIL CAPT MADE AN UNEXPECTED COORDINATED TURN TO THE L AND WAS TURNING N; AWAY FROM OUR ATC CLRNC HDG. AS A FO; I TRIED TO INITIALLY FIGURE OUT IF CAPT WAS INCAPACITATED; TURNING FOR TFC; OR SOME OTHER UNKNOWN FACTOR. CAPT CALLED FOR FLAPS UP IN THE CONTINUOUS TURN AND I AGAIN INFORMED HIM WE WERE SUPPOSED TO MAINTAIN RWY HDG; AND EVEN POINTED TO THE TKOF DATA CARD WHICH I FILLED OUT HE HAD PREVIOUSLY BRIEFED THAT STATED RWY HDG AS FILED. DEP CONTACTED US AFTER 10-15 SECONDS AND TOLD US TO TURN R TO HDG 140 DEGS. AFTER A BRIEF MOMENT; DEP THEN TOLD US THE RENO 3 DEP KEEPS US ON RWY HDG UNTIL ADVISED; AND THAT OUR TRACK IS RESERVED FOR ENG OUT PROCS. I THANKED THE CTLR FOR HIS HELP WITH ALL HDGS; ALTS AND ATC COM. SUPPLEMENTAL INFO FROM ACN 636144; CAPT (PF) MISTOOK THE DEP INSTRUCTIONS AND STARTED A L TURN TO FMG VOR. THIS WAS THE SINGLE ENG PROC; AT 3 DME FROM THE LOC. CAPT DID NOT HEAR THE FO TRY TO CORRECT THE TURN DUE TO RADIO TFC.