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-317: Algebra V - Galois theoryGalois theory lies at the interface of Field Theory and Group Theory. It aims to describe the algebraic symmetries of fields. We will focus on Galois theory for finite field extensions and some applications. ...
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 ...
CS-214: Software constructionLearn how to design and implement reliable, maintainable, and efficient software using a mix of programming skills (declarative style, higher-order functions, inductive types, parallelism) and
fundamental software construction concepts (reusability, abstr ...
HUM-490: Médiation scientifique ICet enseignement est une introduction à la théorie et la pratique de la médiation scientifique.
Cette année, ce cours aboutira à la création et l'animation d'un atelier pédagogique et interactif avec un groupe de jeunes. ...
MATH-451: Numerical approximation of PDEsThe course is about the derivation, theoretical analysis and implementation of the finite element method for the numerical approximation of partial differential equations in one and two space dimensions. ...
HUM-467: Picture history IILe séminaire propose de concevoir une série de contributions ponctuelles à une hypothétique exposition nationale suisse en 2034 qui prendrait la forme d'une réactualisation de l'Expo 64 sur le site même de l'exposition nationale de Lausanne de 1964. ...
HUM-496: Comment enseigner la durabilité IIDans ce projet de groupe, explorez les pratiques pédagogiques dans un cours de durabilité. L'observation, la formulation de problèmes, la préparation en groupe, et la réflexion sur l'enseignement de la durabilité, vous aideront à développer des stratégies ...
MATH-341: Linear modelsRegression modelling is a fundamental tool of statistics, because it describes how the law of a random variable of interest may depend on other variables. This course aims to familiarize students with linear models and some of their extensions, which lie a ...
PHYS-454: Quantum optics and quantum informationThis lecture describes advanced concepts and applications of quantum optics. It emphasizes the connection with ongoing research, and with the fast growing field of quantum technologies. The topics cover some aspects of quantum information processing, quant ...
AR-503: Digital design and making: A critical introductionThe course introduces digital design and fabrication methods by combining the transfer of technical skills with theoretical knowledge and critical reflection. Topics include: scripting/programming for design, mass customisation through digital fabrication ...
MATH-482: Number theory I.a - Algebraic number theoryAlgebraic number theory is the study of the properties of solutions of polynomial equations with integral coefficients; Starting with concrete problems, we then introduce more general notions like algebraic number fields, algebraic integers, units, ideal c ...
MATH-329: Continuous optimizationThis course introduces students to continuous, nonlinear optimization. We study the theory of optimization with continuous variables (with full proofs), and we analyze and implement important algorithms to solve constrained and unconstrained problems. ...
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 ...