Patients with Stage IIIC and IV optimally-debulked ovarian cancer will be treated with 6 cycles (every 3 weeks) of carboplatin (AUC 5) and paclitaxel (175 mg/m2). Patients who demonstrate a complete clinical response to this regimen will then be treated with topotecan consolidation (4 mg/m2 weekly x 8 weeks for one cycle followed by a break in the 9th week) for a maximum of 3 cycles. Primary endpoints will be toxicity and the determination of the appropriate dose, schedule, and duration of topotecan for further consolidation trials.