This graduate course is a continuation of MA 661. Topics include modules over principal ideal domains, localization, primary decomposition, associated prime ideals, classes of rings and modules such as Noetherian rings and Dedekind domains, tensor and exterior products, exact sequences and resolutions, ideals and varieties, Hilbert's Nullstellensatz.
Continuation of MA 676. Absolutely continuous functions on the real line, Lebesque spaces, beginning theory of Banach spaces including the Hahn-Banach, closed graph, and open mapping theorems.
Review of recent research in discrete mathematics. May be repeated to a maximum of nine credits.
Review of current research in numerical analysis. May be repeated to a maximum of nine credits.
Half-time to full-time work on thesis. May be repeated to a maximum of six semesters.
Reports and discussion on recent advances in group theory, ring theory, and homological algebra. May be repeated to a maximum of nine credits under different subtitles.
Residency credit for dissertation research after the qualifying examination. Students may register for this course in the semester of the qualifying examination. A minimum of two semesters are required as well as continuous enrollment (Fall and Spring) until the dissertation is completed and defended.
May be repeated to a maximum of 12 hours.
This course focuses on the study o electronic mass media. It surveys the cultural industries from multiple perspectives, including history, economics, production processes, content, social effects, diversity, and globalization. It emphasizes the relationship among the electronic mass media, culture, and power.
Historical survey of broadcasting, common carrier, and related electronic media technologies, including the Internet. This course focuses on the social, political, and policy dimensions of the adoption and use of communication technologies. Special attention is paid to significant issues in contemporary public policy and practice, such as protection of privacy and personal information, information ownership, free speech, and censorship.
