English

This course develops both theoretical understanding and, above all, practical skills in ordinary differential equations (ODEs). It begins with a review of the concept of integration as the area under a curve and introduces numerical methods for computing integrals using a computer. Fundamental results on the existence and uniqueness of solutions to ODEs are presented, along with several explicit solution methods. The course also includes elements of qualitative analysis of differential equations, such as barrier methods, phase portraits, and stability analysis. Hands-on computer sessions focus on the implementation of numerical methods in Python for solving ODEs. At the end of the semester, a project allows students to apply these tools to concrete problems arising in various scientific fields, including physics, biology, chemistry, and meteorology.

The course extends the methods of calculus of one variable to calculus for functions of many variables, that is, calculus on higher dimensional spaces. This involves concepts such as multiple integrals and partial derivatives, which enable us to make sense of the idea of length of a curve, area of a surface, and maxima and minima of functions of many variables. The final part of the course presents the great integral theorems: Green’s Theorem, Stokes’ theorem and the Divergence Theorem which form a cornerstone of mathematics. 

This course explores urbanization and cities not just as a technical issue or a set of rules for organizing space, but as a powerful, political tool for addressing global challenges. It investigates the city as a site of conflict and potential "repair"—social, ecological, and democratic. By critically examining historical models, contemporary crises, and emerging practices—from tactical urbanism to proximity—the course ask if and how urban planning can contribute to a more just, sustainable, and inclusive future. In the first part of the course, Paris is our field of visits and experimentation. Seeing how Paris may help to interrogate cities from elsewhere, and vice versa. Upon completion of this course, students will be able to understand the political, social, and ecological role of urban planning; critically analyze past and present models of urban development; evaluate tools and practices for creating more equitable and sustainable cities; and articulate a vision of the city as a space for social and environmental repair.

This course enables the class to recognize and assume each person's responsibility for the generalized environmental crisis and its impact on climate change. Furthermore, the class fosters an understanding of one's agency on four dimensions: a) as a person, b) as a citizen, c) as a professional and d) as a consumer, so that they can become and active participant in its solution.

Human Rights are often assumed to have a precise 20th-century origin in the 1948 Universal Declaration or in the succeeding decades of increasing activism. However, the history of human rights discourse and its practical impact emerged as only the latest stage of a sequence of intellectual debates and real-life struggles in specific historical settings over political, religious, economic rights, broadly defined. Different cultural milieus have produced a variety of contexts for working out tensions between claims by individuals or minorities for autonomy on the one hand and the rival demands of collective obligation and identity on the other. This course seeks to explore an (inevitably selective) range of these historical contexts in order to demonstrate the continuity of perennial themes of conflict between the claims of individual actors and corporate institutions, whether states, churches, empires or other institutions, while also showing how and when key changes take place in the recognition of rights of political action, conscience, property ownership, gender identity, and workers’ rights etc. 

Through theoretical studies and practical exercises, the course conveys knowledge about the structure and function of the brain and key areas of modern cognitive neuroscience, such as attention, memory, language, and cognitive control, as well as emotions and social interaction. The understanding of normal function is the primary focus of the course, but clinical examples are also used as they provide substantial illustrations of normal functioning. Furthermore, the course provides knowledge about relevant research methods within the area, and major emphasis is placed on the interdisciplinary nature of the subject. This module has two parallel components, the first theorical and the second laboratory.  In the theory section, the focus is on higher cognitive functions, such as, attention and cognitive control, memory, language, social interaction, problem-solving, and thinking and decision-making. Furthermore, the module communicates knowledge about the neurocognitive basis of emotion and how cognitive function is influenced by emotion. The module also introduces different types of brain damages and psychoorganic syndrome. In the laboratory, train important skills for conduction of empirical studies in cognitive neuroscience, including reporting of the results in accordance with the international norms for publication in the psychology.

This course examines how marketing campaigns are designed, conceptualized and executed digitally. Particular attention is given to techniques unique to digital technologies and the networked nature of social media platforms. Their applications to marketing strategy specifically to do with brand building, target audiences, public relations and communications are covered with an aim to equip students to understand the digital consumer journey.

This course familiarize students with intermediate topics in logic. It focuses on concepts and theories that are useful for a deeper understanding and critical analysis of claims and arguments in contemporary philosophical research and in the social and natural sciences.

This course introduces students to psychological theories of prejudice, discrimination, and intergroup relations, with a strong emphasis on applying these theories to multi-ethnic and racial contexts in various parts of the world (e.g., the UK, US, Turkey). Students consider key issues in the study of intergroup relations in reference to perceptions and experiences of majority and minority group members as well as classic and contemporary theory and research on prejudice and intergroup relations. The applications of such theory and research to pressing social issues (e.g., racism, sexism, ageism) are also discussed.

In this course, students employ the Dirac notation and algebraic methods (for example, spin and the harmonic oscillator), are introduced to basic approximation methods, such as perturbation theory and WKB, and look at scattering theory.