Modelling Complex Systems: a primer - agent-based models, equation-based models, statistical models and Bayesian inference, digital twins

Learning material (2019)

Modelling Complex Systems: a primer - agent-based models, equation-based models, statistical models and Bayesian inference, digital twins

Algèbre (notes du cours, 3ème semestre BASI)

Learning material (2019)

skill training digital source criticism Doctoral Training Unit digital hermeneutics

Learning material (2017)

The skills training is organized by the DHH doctoral training unit and will be led by Prof. Andreas Fickers, Dr. Stefania Scagliola and Andy O’Dwyer. It consists of a two-day program, in which lectures ... [more ▼]

The skills training is organized by the DHH doctoral training unit and will be led by Prof. Andreas Fickers, Dr. Stefania Scagliola and Andy O’Dwyer. It consists of a two-day program, in which lectures and theoretical discussions are combined with hands-on demonstrations and group experiments. The first day is dedicated to literature and to making sketches and drawings of how the digital affects the nature of a historical source. The second day the participants are going to digitize various datatypes and reflect on their observations of this process and the differences between data types. The last part of the training consists of a crowdsourcing experiment in which the genealogy of the term Digital Source Criticism is going to be traced and documented. [less ▲]

Rahmenplan zur nonformalen Bildung im Kindes- und Jugendalter

Learning material (2017)

Algebraic Curves

Learning material (2017)

Structures mathématiques

Learning material (2017)

Séance 3. L'espace réservé aux aides d'État

Learning material (2017)

Séance 2. Règles de fonctionnement et d'organisation du marché intérieur

Learning material (2017)

Linear Algebra 2

Learning material (2017)

Tutorial Reproducible Research at the Cloud Era: Overview, Hands-on and Open challenges

Learning material (2016)

The term Reproducible Research (RR) refers to “the idea that the ultimate product of academic research is the paper along with the full computational environment used to produce the results in the paper ... [more ▼]

The term Reproducible Research (RR) refers to “the idea that the ultimate product of academic research is the paper along with the full computational environment used to produce the results in the paper such as the code, data, etc. that can be used to reproduce the results and create new work based on the research.” Source: Wikipedia. The need for reproducibility is increasing dramatically as data analyses become more complex, involving larger datasets and more sophisticated computations. Obviously, the advent of the Cloud Computing paradigm is expected to provide the appropriate means for RR. This tutorial is meant to provide an overview of sensible tools every researcher (in computer science but not only) should be aware of to enable RR in its own work. In particular, and after a general talk presenting RR and the existing associated tools and workflow, this tutorial will propose several practical exercises and hands-on meant to be performed on each attendee’s laptop, to cover the management of sharable Development environment using Vagrant. Resources of this tutorial will be available on Github. [less ▲]

Expressions & relations mathématiques élémentaires

Learning material (2016)

Ce texte introduit les outils de base des mathématiques que sont les expressions algébriques et numériques. Les nombres réels, les opérations sur les nombres, les moyennes, les sommes partielles de ... [more ▼]

Ce texte introduit les outils de base des mathématiques que sont les expressions algébriques et numériques. Les nombres réels, les opérations sur les nombres, les moyennes, les sommes partielles de termes de suites particulières, les polynômes ou la factorisation des expressions algébriques sont à compter parmi les thèmes abordés. La structure des notes vise à accompagner le lecteur au travers de ces éléments théoriques et à lui permettre de développer ses compétences mathématiques par la réalisation des nombreux exercices proposés. [less ▲]

Riemann Surfaces. Lecture notes. Winter semester 2015/2016.

Learning material (2015)

These are the lecture notes for the course 'Riemann surfaces' (14 Lectures, 90 minutes each). The lectures are provided with exercises.

Introduction to Git and Vagrant

Learning material (2015)

Local Fields

Learning material (2015)

These lecture notes correspond to the course Local Fields from the Master in Mathematics of the University of Luxembourg, taught in the Winter Term 2015. It consists of 14 lectures of 90 minutes each ... [more ▼]

These lecture notes correspond to the course Local Fields from the Master in Mathematics of the University of Luxembourg, taught in the Winter Term 2015. It consists of 14 lectures of 90 minutes each. This lecture belongs to the fourth semester of the Master, and it builds on the lectures Commutative Algebra and Algebraic Number Theory, belonging to the first and second semester respectively. The aim of the lecture is to explain the basic theory of local fields, and apply this theory to obtain information about number fields. [less ▲]

Commutative Algebra (Master in Mathematics, 2015)

Learning material (2015)

Lecture notes with exercise sheets from the lecture Commutative Algebra held in winter term 2015 in the Master in Mathematics at the University of Luxembourg.

Géométrie différentielle des surfaces

Learning material (2014)

Mécanique quantique : notes de cours

Learning material (2014)

These notes are a summary of the course "Physical Mathematics 3: Quantum Mechanics" of the Bachelor of Mathematics of the University of Luxembourg given in the second semesters of the academic years 2012 ... [more ▼]

These notes are a summary of the course "Physical Mathematics 3: Quantum Mechanics" of the Bachelor of Mathematics of the University of Luxembourg given in the second semesters of the academic years 2012--2013 and 2013--2014. [less ▲]

Riemann Surfaces. Lecture notes. Winter semester 2013/2014.

Learning material (2013)

This is a preliminary version of lecture notes for the course 'Riemann surfaces' (14 Lectures, 90 minutes each).

Algèbre 1 (BASI filière mathématiques, 2013)

Learning material (2013)

Lecture notes written in French from the Algebra 1 lecture in the 1st term of the Bachelor programme BASI branch Mathematics at the University of Luxembourg. The lecture starts with preliminaries on logic ... [more ▼]

Lecture notes written in French from the Algebra 1 lecture in the 1st term of the Bachelor programme BASI branch Mathematics at the University of Luxembourg. The lecture starts with preliminaries on logic, sets and functions, it builds the natural numbers (almost) from the Peano axioms, then constructs the integers and the rationals. Groups and rings are introduced in that context. The most basic definitions and results from abstract linear algebra are also given. The course finishes with some basic group theory. [less ▲]

Algebra 3

Learning material (2013)

These lecture notes correspond to the course Algebra 3 from the Bachelor en Sciences et Ingénierie, Filière mathématiques, of the University of Luxembourg. This course was taught in the Winter Term 2013 ... [more ▼]

These lecture notes correspond to the course Algebra 3 from the Bachelor en Sciences et Ingénierie, Filière mathématiques, of the University of Luxembourg. This course was taught in the Winter Term 2013 and it consists of 14 lectures of 90 minutes each. This lecture belongs to the third semester of the Bachelor, and it builds on the lectures Algebra 1 and Algebra 2, belonging to the first and second semester respectively. The aim of this course is to introduce the students to the theory of algebraic extensions of fields, and culminates with the application of the theory to the solution (negative solution, in fact) of the three classical Greek problems concerning constructions with ruler and compass. This lecture is also a preliminary step towards Galois theory, which is taught in the fourth semester of the Bachelor. [less ▲]

Algèbre 3 (théorie des corps et théorie de Galois)

Learning material (2012)

Lecture notes written in French from the Algebra 3 lecture in the 3rd term of the Bachelor programme BASI branch Mathematics (old version) at the University of Luxembourg. The lecture covers field theory ... [more ▼]

Lecture notes written in French from the Algebra 3 lecture in the 3rd term of the Bachelor programme BASI branch Mathematics (old version) at the University of Luxembourg. The lecture covers field theory and Galois theory and includes a treatment of the solvability of equations by radicals and a treatment of classical construction problems with ruler and compass. [less ▲]

Mathématique physique 1 et 2

Learning material (2008)

Vertexalgebren eine Einführung

Learning material (1997)

Compléments d'Analyse

Learning material (1996)