ARM I (COURSES 4-6): Within 4 weeks of surgery (within 6 weeks of completion of course 3 in patients who do not undergo TRS), patients receive paclitaxel IV over 1 hour on days 1, 8, and 15 and carboplatin IV over 30 minutes on day 1. Treatment repeats every 21 days for 3 courses in the absence of disease progression or unacceptable toxicity.