B737-700
Flight Crew Last 90 Days 318
Situational Awareness
Inflight Event / Encounter CFTT / CFIT
Air Traffic Control Issued Advisory / Alert; Flight Crew Became Reoriented; Flight Crew Took Evasive Action
Human Factors; Airport; Procedure
We were cleared off the STAR to CALLS and cleared the visual approach; following a runway change from 29R to 11L.  Initially high on the path; we were correcting in VNAV; and rolled the FAF altitude into the MCP when cleared the visual approach.  Descent rate was high and correcting; and as we approached 5;000 FT; it was evident terrain would be a factor; and the Captain directed me to climb; as we got the Terrain Caution and visual symbol on the Map display.  Approach also alerted us we were below MVA for the area as we were climbing.  Once clear of the terrain; we descended to 5;000 FT MSL and completed the visual approach without incident.  When faced with a time-sensitive change to the briefed approach; ensure fully re-briefing the new game plan; not just loading the correct data into the FMC.  Most importantly here is verbalize the terrain issue and step-down altitudes because they were not in the LEGS page due to being cleared direct the FAF; preventing a safe VNAV descent path.
B737-700 First Officer reports descending below MVA during a night visual approach to Runway 11L at TUS after a last minute runway change from Runway 29R. The reporter was attempting to descend to the FAF altitude prior to reaching CALLS. The crew; ATC; and the EGPWS all became concerned at the same time and corrective action was taken.