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 theory. Those notions are central to the study of partial dif ...
MATH-506: Topology IV.a - 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 algebra. We study an algebraic version, namely group coho ...
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 domains under discontinuous group actions, as algebraic ...
HUM-311: Visual culture, image historyCet enseignement propose une approche matérielle et environnementale des images et des medias du XIXe au XXIe siècle (lanterne magique, photographie, cinéma, médias numériques, IA, etc.). ...
AR-201(an): Studio BA3 (Truwant et Rodet)Le projet de transformation considère les sites existants comme des ressources pour réinventer nos manières d'habiter. À Renens, les étudiants exploreront la rénovation pour concevoir de nouvelles formes de vie, créant des typologies domestiques issues des ...
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 computating in an axiomatic way. We introduce the notions of quantum bits, gates, and circuits. We introduce themost important quantum algorithms. We also touch upon error-correcting codes. This course is indep ...
MATH-303: Measure theoryThis course provides an introduction to the theory of measures and integration on abstract measure spaces. ...
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 ...
AR-489: Urban sociologyCe cours a pour objectif de familiariser les étudiants à la sociologie urbaine à partir du prisme du logement. Il permet de naviguer entre les concepts, outils et méthodes qu'elle propose pour penser l'évolution concomitante des modes de vie et de l'organi ...
PENS-322: Urban voids: mind the gap!This course focuses on transforming urban voids, like vacant lots or abandoned buildings, into valuable spaces addressing challenges such as climate change and social cohesion. It equips engineers and architects with interdisciplinary skills to creatively ...
AR-201(bc): Studio BA3 (Peris et Toral)In this studio, students will establish the foundational comprehending needed to design collective housing typologies by understanding and applying Louis Kahn's principles of "served and servant spaces. ...
MATH-302: Functional analysis IConcepts de base de l'analyse fonctionnelle linéaire: opérateurs bornés, opérateurs compacts, théorie spectrale pour les opérateurs symétriques et compacts, le théorème de Hahn-Banach, les théorèmes de l'application ouverte et du graphe fermé. ...
AR-201(m): Studio BA3 (Taillieu)A house is the simple topic of this studio. A matter of simple complexity. Learning about a house is learning about
architecture. The first part of the year is about learning about a house. The second part is about making your house. ...
AR-202(m): Studio BA4 (Taillieu)A house is the simple topic of this studio. A matter of simple complexity. Learning about a house is learning about
architecture. The first part of the year is about learning about a house. The second part is about making your house. ...
MATH-101(de): Analysis I (German)Es werden die Grundlagen der Analysis sowie der Differential- und Integralrechnung von Funktionen einer reellen Veränderlichen erarbeitet. ...
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 Riemannian geometry (with a focus dictated by computational con ...
