Intermittent schedule: Patients receive paclitaxel IV over 1 hour followed 30 minutes later by trastuzumab (Herceptin) IV over 30 minutes on days 1, 8, and 15 of each course. Patients also receive oral erlotinib once daily on days 3-28 of course 1 and on days 1-28 of subsequent courses. Courses repeat every 28 days in the absence of disease progression or unacceptable toxicity.