MATH-502: Distribution and interpolation spacesThe goal of this course is to give an introduction to the theory of distributions and cover the fundamental results of Sobolev spaces including fractional spaces that appear in the interpolation theor
MATH-432: Probability theoryThe course is based on Durrett's text book
Probability: Theory and Examples.
It takes the measure theory approach to probability theory, wherein expectations are simply abstract integrals.
MATH-101(de): Analysis I (German)Es werden die Grundlagen der Analysis sowie der Differential- und Integralrechnung von Funktionen einer reellen Veränderlichen erarbeitet.
MATH-506: Topology IV.b - cohomology ringsSingular cohomology is defined by dualizing the singular chain complex for spaces. We will study its basic properties, see how it acquires a multiplicative structure and becomes a graded commutative a
MATH-410: Riemann surfacesThis course is an introduction to the theory of Riemann surfaces. Riemann surfaces naturally appear is mathematics in many different ways: as a result of analytic continuation, as quotients of complex
MATH-512: Optimization on manifoldsWe develop, analyze and implement numerical algorithms to solve optimization problems of the form min f(x) where x is a point on a smooth manifold. To this end, we first study differential and Riemann
HUM-311: Visual culture, image historyLe cours propose une introduction à la diversité des espaces conçus pour accueillir des images depuis le 18e siècle (musée, jardin, pavillon d'exposition, white cube, salle de cinéma, etc.) et une réf
AR-201(an): Studio BA3 (Truwant et Rodet)Nous allons explorer le potentiel de l'entre-deux en tant qu'espace transversal entre le paysage et l'architecture. Un espace qui peut être à la fois organique, tectonique, numérique. Un espace de tra
AR-201(r): Studio BA3 (Gay et Menzel)The studio focusses on contextual imaginary. Developing narratives, inspired both by the site and by the student's imagination leads to a theme sustaining the project. The narrative helps the student
MATH-206: Analysis IVEn son coeur, c'est un cours d'analyse fonctionnelle pour les physiciens et traite les bases de théorie de mesure, des espaces des fonctions et opérateurs linéaires.
CS-308: Introduction to quantum computationThe course introduces the paradigm of quantum computation in an axiomatic way. We introduce the notion of quantum bit, gates, circuits and we treat the most important quantum algorithms. We also touch