Patients will be asked to spend about six months in this study. There will be 4 different phases in this study as follows: (1) Loading Phase: This is the first week (week 1) of the study, when patients receive their first (loading) dose of cetuximab only, in the vein. (2) Concurrent Phase: During this phase patients will be treated simultaneously (concurrently) with radiation therapy to their chest and cetuximab. Radiation is delivered 5 days a week, Monday to Friday for a total of 7 weeks (weeks 2-8). Cetuximab is delivered in the vein, weekly, during the weeks of radiation. (3) Recovery Phase: Patients receive no treatment during these next 3 weeks (weeks 9-11). This phase is designed to allow patients to recover from side effects before they start the last phase. (4) Consolidation Phase: The last phase. Patients will receive 3 doses of chemotherapy with docetaxel during this phase. Docetaxel is given intravenously every 21 days. Patients also receive weekly cetuximab during this phase. Cetuximab is delivered in a similar way as it was during the concurrent (second) phase of this study. In total, this phase lasts 6 weeks (weeks 12-18). Once the therapy treatment is completed, and if the patient's cancer did not get worse, follow up visits will include visits to their physician every three months for 2 years, then every 4 months for 2 years or more, as long as their cancer doesn't get worse (at which time they will be removed from the study).