FLC CLBS THROUGH ASSIGNED ALT OF 2500 FT TO 2900 FT BEFORE ALT ALERTER PROMPTED CREW TO RETURN TO 2500 FT.

Narrative

AFTER A RUSHED DEP FROM TULSA INTL OUR ACFT WAS CLBING TO OUR ASSIGNED ALT OF 2500 FT. I WAS FLYING R SEAT AND IN THE PROCESS OF INPUTTING WAYPOINTS ON OUR GPS. THE PF WAS APPARENTLY TRYING TO SWITCH HIS NAV FROM VOR MODE TO FMS MODE. WHEN OUR ALT ALERTER CHIMED INDICATING 1000 FT TO LEVELOFF; I MADE A CALL '1000 FT TO GO' NOTING OUR ALT; AND RESUMED INPUTTING DATA IN THE GPS. THE PF CONTINUED CLBING AND WHEN I HEARD THE ALT ALERTER CHIME AGAIN I LOOKED UP AND NOTICED WE WERE AT 2900 FT. THE PF THEN BEGAN A DSCNT TO 2500 FT. I BELIEVE WHAT CAUSED THIS OCCURRENCE WAS POOR CRM AND LACK OF ATTN ON THE PART OF THE PF. ALL OUR COMPANY ACFT ARE CREWED WITH 2 PLTS AND THE PNF IS RESPONSIBLE FOR SETTING UP THE NAVS AND PROGRAMMING GPS'S. IN THIS CASE I FEEL THE PF SHOULD HAVE ASKED ME TO SET HIM UP HOW HE WANTED; AND NOT TRIED TO DO IT HIMSELF WHILE BEING RESPONSIBLE FOR FLYING THE ACFT. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THE RPTR STATED HE WAS FLYING THE BE200. THE ACFT HAS AN ADVANCED COCKPIT.