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MOOC# Warm-up for EPFL

Description

Il est sensé vous aider à vous rappeler certaines notions qui seront utiles dans les premières semaine à l'EPFL. Ce n'est pas un cours avec les prérequis. Vous pouvez faire ce MOOC dans les deux semaine avant le semestre, comme un échauffement avant un match.

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Instructor

Lectures in this MOOC (23)

Related concepts (126)

Related courses (222)

First Order Differential Equation

Covers first-order differential equations, including linear equations and applications in physics.

Scalar Product

Explains the concept of scalar product, its properties, and geometric interpretation.

Produit mixte

Covers the concept of the mixed product and related vector identities.

Derivatives and Trigonometry Fundamentals

Introduces derivatives, trigonometry, and motion principles through basic and trigonometric functions differentiation.

Second Order Differential Equation

Explores solutions for real inhomogeneous second-order differential equations and physical examples of vertical oscillatory motion.

Fluid–structure interaction

Fluid–structure interaction (FSI) is the interaction of some movable or deformable structure with an internal or surrounding fluid flow. Fluid–structure interactions can be stable or oscillatory. In oscillatory interactions, the strain induced in the solid structure causes it to move such that the source of strain is reduced, and the structure returns to its former state only for the process to repeat. Fluid–structure interactions are a crucial consideration in the design of many engineering systems, e.g.

Numerical analysis

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt at finding approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences, medicine, business and even the arts.

Finite element method

The finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical problem areas of interest include the traditional fields of structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential. The FEM is a general numerical method for solving partial differential equations in two or three space variables (i.e., some boundary value problems).

MATH-506: Topology IV.b - cohomology rings

Singular 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

ME-201: Continuum mechanics

Continuum conservation laws (e.g. mass, momentum and energy) will be introduced. Mathematical tools, including basic algebra and calculus of vectors and Cartesian tensors will be taught. Stress and de

PHYS-100: Advanced physics I (mechanics)

La Physique Générale I (avancée) couvre la mécanique du point et du solide indéformable. Apprendre la mécanique, c'est apprendre à mettre sous forme mathématique un phénomène physique, en modélisant l

Related publications (324)

Aluminium is a metal sought in the industry because of its various physical properties. It is produced by an electrolysis reduction process in large cells. In these cells, a large electric current goe

Simone Deparis, Alfio Quarteroni, Riccardo Tenderini, Stefano Pagani

In this work, we present a PDE-aware deep learning model for the numerical solution to the inverse problem of electrocardiography. The model both leverages data availability and exploits the knowledge

2022Removing geometrical details from a complex domain is a classical operation in computer aided design for simulation and manufacturing. This procedure simplifies the meshing process, and it enables fas