Carlos III University of Madrid

This course covers ordinary differential equations and partial differential equations. Topics include: first-order differential equations; second-order linear equations; systems of first-order linear equations; nonlinear systems and stability; separation of variables; boundary-value problems.

Pre-requisites: Calculus I, Calculus II, and Linear Algebra.

This course provides a study of the basic concepts of the urban and regional economy. It examines the economics of cities and problems of urbanism by means of understanding decision-making processes on the part of individuals and firms regarding geographic location. 

This course offers a study of databases. Topics include: information systems, databases, and database management systems; modeling methodologies; management of semi-structured and complex data, distributed and noSQL databases; relational databases; design of a database-- relational model; query languages-- SQL language; noSQL databases; comparison of relational databases to new noSQL stores; noSQL database types, installation, use, and deployment.

  This course discusses Spanish politics. Topics include: important moments of the Spanish political process; the party systems in Spain and their transformations; partisan actors in the Spanish political system; non-partisan actors in the Spanish political system.

This course provides research training for students through placement in a laboratory at Carlos III University of Madrid. Students carry out an original research project under the supervision and guidance of assigned faculty members. The specific topic studied depends on the faculty in charge of the laboratory in which each student is assigned. At the conclusion of the program, students submit their final work (paper, presentation, report, etc.) as instructed by their lab supervisors

This course is divided into two parts: the first covers the conceptual and methodological framework of historical sociology and research design in comparative sociology; the second part examines institutions and central topics in historical sociology such as types of social power and the evolution of empires, organization sources of the modern state, political institutions and social revolutions, etc.