Topics course. The analysis of the real line, begun in MTH 243 is developed further here, starting with Lebesgue's theory of measure. Our intuition leads us to statements (some ancient, some less than a year old) that are paradoxical. Attempts to resolve the paradoxes leads us to statements that can be neither proved nor disproved. This in turn leads us to alternatives to the standard real line, both smaller (the constructive numbers) and larger (the hyperreal numbers, the surreal numbers). Prerequisite: MTH 243

Topics course. What did people think about the shape of our world before we knew it was a sphere? We take a tour of mathematics related to this question, from the Egyptians and Babylonians to the present. The "possible" shapes of the world are now mathematically well understood. The question of the shape of the universe involves higher dimensional mathematical objects, and relates to the recently proved Poincare conjecture. First stated in 1904, it was viewed as one of the seven most important problems of the new millennium.

Prerequisite: 215. L.

This course examines Japanese popular culture as a transnational phenomenon, whose development and dissemination occur, and influence permeates beyond conventional national cultural boundaries. The course looks into the regional cultural matrix of East and Southeast Asia with Japan as its integral part, and the cultural dimension of globalization and its changing dynamics against the backdrop of Asia's growing economy. Topics include J-pop and other popular musics from the region, manga (comic books), anime (Japanese animated films), films, computer games, theatre, fashion trends.

This course is an introduction to the many facets of architecture: the history, theory, and design of buildings, landscapes, cities and towns. We will survey the history of architecture from the earliest human dwellings to the present, and expose students to diverse aspects of architectural theory, while also introducing the basic analytical skills of architectural representation.

Not available at this time.

Not available at this time.

This course introduces students to the study of Southern Quechua language, the most widely spoken variety of the Quechua language family. The main goal of this course is to allow students to understand the Quechua world through the study of basic Southern Quechua grammar while examining current Andean cultural products and the context in which they are produced. Fulfills the language requirement for MA and PhD students.

Not available at this time.

Not available at this time.