**Credit Weight:** 0.5 **Prerequisite(s):** Mathematics 3233 **Description**: The course material covers normed vector spaces, bounded operators, Baire category, the Banach-Steinhaus theorem,the open mapping theorem, the closed graph theorem, the Hahn-Banach theorems, Hilbert spaces, the Riesz representation theorem, and compact operators. **Offering:** 3-0; or 3-0