French

This course covers the theorems usually used for numerical sequences and real functions, and their proofs. It discusses the main idea behind the construction of the integral in Riemann's sense, as well as how to write proofs, use the various notions, and independently study a numerical sequence or a given function. Topics include numerical sequences: theorems of monotonic convergence, adjacent and Cauchy sequences, notions of adherence values, upper/lower bounds and the Bolzano-Weierstrass theorem; local behavior of a function: theorems of extension by continuity and sequential characterization of continuity, applying this characterization to the limit of recurring sequences (a result accepted in advanced math), calculating derivatives, the Taylor-Young theorem, and the limited developments of reference functions, calculating limited developments to find limits and relative positions of curves; global behavior of a function: restoring and using the theorems of intermediate values, Heine, bijection, local extrema, Rolle and finite increments, Taylor with integral remainder and Taylor-Lagrange; Riemann integral: retaining the guiding idea behind the construction of the integral in the Riemann sense, demonstrating general results on the integral of functions, calculating integrals using primitives, integration by parts or change of variables, using the notion of comparison between Riemann integral and sum.

This course focuses on the impact of the AIDS crisis on American and European artists and activists, from the first census of cases of the disease in 1981 to the therapeutic revolution in 1997. Based on numerous visual representations inhabited by all that was at work in societies at the time of the epidemic, the course constructs a political, economic, and social history of this era haunted by the catastrophe. In doing so, it mobilizes and crosses disciplines, and develops questions and issues specific to the history of art by calling on the human and social sciences.

This course analyzes systemically the phenomenon known as globalization, as well as current public and academic debates in France that focus on a critique of globalization and its local effects. It is structured by three main analytical standpoints. The first is the history of the process now known as globalization, a history still under debate. The second perspective comprises a look at the main features of the phenomenon of globalization: intensification of worker mobility and migration; vastly increased capital flows as well as flows of goods and services; and the significant increase in information exchange, or cultural globalization. The third point of view is that of the main actors of globalization (states, international organizations, NGOs and transnational movements, multinational corporations) whose roles are transformed by the effects of globalization.