The objective of this course is to provided basics of scientific programming with Python and Matlab. It will provide necessary tools to solve engineering problems and to develop numerical methods applied later on mechanical applications.

This course introduces the formulation, methodology, and techniques for numerical solution of engineering problems. An introduction to programming with Python and/or Matlab is also proposed. Topics covered include:

• Fundamental principles of digital computing
• Solution for systems of linear equations
• Numerical interpolation, differentiation, and integration
• Fundamentals of finite-difference solutions to ordinary differential equations

The aim of the "Mechanical Analysis and Design" course is to provide a basic understanding of solids and structural mechanics modeling. The course is divided into two parts: (i) dynamics of rigid solids and (ii) strength of materials. The objective of the first part is to provide tools to analyze and design mechanical systems composed of rigid bodies. Based on classical methods used to study rigid bodies mechanisms such as Newton's laws of motions and torsors formulations, the main parts of this lecture are:

• Modeling and parametrization of a mechanism
• Reminder concerning solid mechanics
• Theory of mechanisms
• Basic knowledge of energetics in mechanisms
• Modeling of contacts between rigid bodies

The objective of the second part is to provide basic knowledge in Strength of Materials so that the students can solve engineering problems and design engineering systems. More specifically, the aim is to understand the concepts of stress and strain as well as the constitutive relationships for homogeneous and isotropic beam-type structures. Students will be able to calculate stresses and strains in elements subjected to axial, shear, torsion or bending loads and to determine the strength limits. The main parts of the lecture are:

• Generalities and assumptions on strength of materials
• Concept of torsor of internal forces
• Study of simple solicitations: Traction-Compression, Shear, Torsion, Bending

After some reminders on linear vector spaces relevant to continuum mechanics as well as vector and tensor manipulations in different coordinate systems, this course is devoted to:

• Description of motion, deformation, and forces in a continuous solid or fluid medium
• Derivation of equations of motion and conservation laws
• Definition of the constitutive models of fluids and elastic solids
• Writing and solving of simple boundary value problems

This course aims to give basics of the theory of vibrations of deformable mechanical structures. The various topics of the course concern:

• Vibration of discrete systems with single and multiple degrees of freedom
• Modeling of 1D continuous media (beams)
• Eigenmodes of vibrations of continuous systems
• Vibrational response of simple continuous systems by modal superposition

This course is an introduction to the finite element method (FEM) applicable to linear elasticity. The objective of the course is to give notions related to:

• Modeling of a mechanical problem to perform a finite element calculation
• Finite element formulation (variational formulations, shape functions, numerical integration, resolution, post processing)
• The use of a finite element software (commercial and/or open source)
• Basics of programming the FEM for structural elements (beams and plates) and 3D solids

The objective of this course is to provide the basics of calculations related to composite structures. The principles covered are:

• Description of the elementary constituents of composite materials
• Rule of Mixture for composite
• Modeling of individual orthotropic layers
• Modeling of multilayer composite structures
• Failure criteria for unidirectional fiber composites
• Application to laminated beams and plates under tension, shear and bending loading

The objective of this course is to provided tools and methods to disseminate scientific work with respect to classical high standard quality. It is composed of two parts: (i) writing and (ii) oral presentation. A part of this course will focus on the use of word-processing tool for scientific writing (including management of references and citations) and the use of presentation software for oral presentation.

The objective of this course is to introduced basics of Artificial Intelligence and Machine Learning for sciences. It will describe necessary tools to solve engineering problems and to develop numerical methods applied later on mechanical applications. A large part of this course will be dedicated to practical sessions. The main parts of this course will concern:

• Introduction: Methodology and taxonomy of ML problems
• Linear models in all taxonomy cases (regression, model matrix learning, PCA/FDA, LDA, logistic regression, subspace clustering)
• Unsupervised (visualization and clustering): overview and list of scikit-learn pointers
• Supervised classification: overview of approaches and list of scikit-learn pointers
• Deep1: From logistic regression to MLP, backpropagation
• Deep2: CNN and details on optimization problems (stochastic gradient, weight initialization, etc.)

The objective of this course is to provide the basics to apply optimization in the context of structural mechanics. The main parts of this lecture are:

• Basic knowledge concerning optimization problems with or without constraints, mono and multi-objective
• The main useful algorithms for local and global optimization
• Application on structural problems using commercial and/or open sources software’s
• Introduction to advanced techniques such as surrogate models

This course provides an overview and important aspects of intelligent structure that are designed to detect and respond to the condition of structures and environments to improve their safety and functionality. This course focuses on the fundamental concepts and technical skills to understand, develop, and apply smart structure technologies for:

• Vibration control
• Structural shape control
• Structural health monitoring
• Energy harvesting

Applications of vibration control using piezoelectric materials will be analyzed both from a numerical and experimental point of view.

The objective is to give an understanding of the analysis of structures subjected to dynamic loading and of the conventional analysis techniques used to evaluate their responses. This course presents the theoretical background of methods used in the context of structural analysis and covers applications in mechanical and aerospace engineering. The main parts of this lecture concern:

• Approaches used in structural dynamics (Modal Analysis, Frequency Response Functions)
• Vibration of discrete systems (Finite Element Method, Modal Superposition)
• Analysis and simulation of mechanical vibration damping
• Time integration schemes (with a focus on stability and accuracy)
• Experimental modal analysis and identification methods

"Contemporary Economic Issues" forms part of the Telecom & Networks International Master (EPN03, Dept. Electronics, Electrotechnics, Automatic Devices and Measures, EEAM). Students from different countries and contexts are welcomed in Conservatoire national des Arts et Métiers (Paris) after a Master selection. The main pedagogical goals are:

• Understand that technical progress and innovation.
• Understand that sustainable economic growth comes up against ecological limits (in particular the depletion of resources, pollution and global warming) and that innovation can help to push back these limits.
• Understand the extent of income inequality in our economies.
• Understand international trade and the concepts of absolute and comparative advantage.

The objective of this course is to provided tools and methods to communicate and dialogue with the scientific community as well as with the general public. It is built around a chosen technical object by each student.