MATH-303: Measure theoryThis course provides an introduction to the theory of measures and integration on abstract measure spaces. ...
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-206: Analyse 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. ...
HUM-311: Culture visuelle, histoire des imagesCet 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): Théorie et critique du projet 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-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 ...
MATH-302: Analyse fonctionnelle 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. ...
MATH-404: Functional analysis IIWe introduce locally convex vector spaces. As an example we treat the space of test functions and the space of distributions. In the second part of the course, we discuss differential calculus in Banach spaces and some elements from nonlinear functional an ...
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(m): Théorie et critique du projet 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. ...
MATH-494: Topics in arithmetic geometryP-adic numbers are a number theoretic analogue of the real numbers, which interpolate between arithmetics, analysis and geometry. In this course we study their basic properties and give various applications, notably we will prove rationality of the Weil Ze ...
CS-450: Algorithms IIA first graduate course in algorithms, this course assumes minimal background, but moves rapidly. The objective is to learn the main techniques of algorithm analysis and design, while building a repertory of basic algorithmic solutions to problems in many ...
