MATH-476: Optimal transportThe first part is devoted to Monge and Kantorovitch problems, discussing the existence and the properties of the optimal plan. The second part introduces the Wasserstein distance on measures and develops applications of optimal transport to PDEs, functiona ...
ENV-471: Environmental economicsIntroduction to economic analysis applied to environmental issues: all the necessary basic concepts, including cost-benefit analysis, for environmental policy making and its instruments (examples: climate, waste, mobility). Introduction to financial calcul ...
ENV-367: Législation environnementale et droit de la constructionCe cours donne aux étudiant-e-s les connaissances de base nécessaires pour comprendre les dimensions juridiques de leur activité professionnelle concernant l'aménagement du territoire et la protection de l'environnement. Il les sensibilise aux questions ju ...
ENG-474: Etudes d'impact sur l'environnementPrésentation des bases des études d'impact, du contexte et des outils d'évaluation de chacun des sujets et des chapitres. Illustration par de nombreux cas réels, et par un travail de groupe. Discussion des limites des EIE et des nouveaux outils tels que le ...
MATH-303: Measure theoryThis course provides an introduction to the theory of measures and integration on abstract measure spaces. ...
COM-309: Introduction to quantum information processingInformation is processed in physical devices. In the quantum regime the concept of classical bit is replaced by the quantum bit. We introduce quantum principles, and then quantum communications, key distribution, quantum entropy, and spin dynamics. No prio ...
MATH-518: Ergodic theoryThis is an introductory course in ergodic theory, providing a comprehensive overlook over the main aspects and applications of this field. ...
PHYS-211: Laboratoire de physique IIbCe cours pratique permet d'acquérir la connaissance des phénomènes physiques de base ainsi que de leurs applications, d'acquérir des connaissances concernant les méthodes d'observation et de mesure ainsi que l'analyse des données et leur présentation. ...
MATH-437: Calculus of variationsIntroduction to classical Calculus of Variations and a selection of modern techniques. The Calculus of Variations aims at showing the existence of minimisers (or critical points) of functionals that naturally appear in mathematics and physics (Dirichlet en ...
COM-406: Foundations of Data ScienceWe discuss a set of topics that are important for the understanding of modern data science but that are typically not taught in an introductory ML course. In particular we discuss fundamental ideas and techniques that come from probability, information the ...
AR-219: CAO avancée et modélisation intégrée DIM1ère année: bases nécessaires à la représentation informatique 2D (3D).
Passage d'un à plusieurs logiciels: compétence de choisir les outils adéquats en 2D et en 3D.
Mise en relation des outils de CAO et DIM: regard critique et aptitude à choisir les métho ...
MATH-487: Introduction to multi-scale stochastic dynamicsThis course introduces slow/fast systems and the mathematical tools used to derive effective equations governing their behaviour. Students will learn core concepts and techniques for rigorously analysing complex stochastic multi-scale systems. ...
AR-101: Théorie et critique du projet BA1Le cours vise à l'acquisition des outils essentiels au projet et à une compréhension de l'architecture comme savoir-faire, pensée, et attitude qui interroge l'inscription des êtres vivants dans leur environnement par la conception de l'espace. ...
HUM-471: Economic growth and sustainability IThis course examines growth from various angles: economic growth, growth in the use of resources, need for growth, limits to growth, sustainable growth, population growth. Although grounded in economics, it takes up elements from many other disciplines. ...
MATH-444: Multivariate statisticsMultivariate statistics focusses on inferring the joint distributional properties of several random variables, seen as random vectors, with a main emphasis on uncovering their underlying dependence structure. This course offers a broad introduction to its ...
AR-705: Baukultur and the culture of transitionBaukultur can be approached through the emerging socio-ecological Transition, as two main cultures that still need to be aligned. The Habitat Research Center organizes a public seminar and several academic moments on this topic, in parallel with an ongoing ...
MATH-495: Mathematical quantum mechanicsQuantum mechanics is one of the most successful physical theories. This course presents the mathematical formalism (functional analysis and spectral theory) that underlies quantum mechanics. It is simultaneously an introduction to mathematical physics and ...
