Carlos III University of Madrid

This course offers a study of complex analysis. Topics include: holomorphic functions; analytic functions-- power series and elementary functions; complex integration-- Cauchy's integral formula and applications; the residue theorem and applications-- evaluation of integrals and series; conformal maps.

Prerequisites: Linear Algebra, Differential Calculus, Integral Calculus, Vector Calculus.

The course provides an economic analysis of problems and challenges found in business and other organizational settings. It examines the concept of asymmetric information and its implications for business organization as well as the concepts of vertical integration. Other topics covered in the course include: selection, asymmetric information, adverse selection, signaling, and screening; explicit incentives, optimal compensation contracts and the trade-off between incentives and insurance; implicit incentives and organization; vertical boundaries, contracting costs and the limits of contracts, benefits of external suppliers and distributors.

Through this course students learn the varieties and uses of spoken Spanish in different communicative situations. Students analyze the proper characteristics of oral language in comparison to the written language, and colloquial register is specifically studied. 

This course introduces the different areas of study of the sociology of culture. Topics include: study of culture in classical sociology; schools of the sociology of culture and interdisciplinarity; culture and identity; class, power, and culture; gender and ethnicity; cultural production; cultural reception; culture and mass media; culture of citizenship.

This course covers the fundamentals of journalistic communication and the techniques and journalistic expression in the audiovisual media. Other topics include: the historical origins of journalistic information; its social, economic and political causes; its evolution and its impact on contemporary societies; rhetoric and argument in informative speeches; theory and analysis of the information in the audiovisual media; and globalization and social change in 21st century journalism.

This course provides a study of continuous and discrete-time signals and LTI (linear and time-invariant) systems in the time and frequency domain. Topics covered include: signals; systems; Fourier series representation of continuous-time periodic signals and sequences; continuous-time Fourier transform; sampling; Laplace transform and z-transform. Students are expected to have completed coursework in calculus and linear algebra.