License 2

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This course is the first step in the teaching of electromagnetism at the university. Electrostatics, stationary currents and magnetostatics are covered.

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This course will cover the notions of symmetric group, determinants and will deal with the reduction of endomorphisms in finite dimension (up to Jordan form) and its applications. It is a first step towards spectral analysis.

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In this course, the particularities of floating-point calculus will be discussed, followed by details of the usual elementary numerical methods for solving nonlinear equations, interpolating a function and approximating an integral. The student will learn how to implement an algorithm to solve a numerical analysis problem.

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This module is a basic module on the physical properties of materials and techniques for sizing mechanically simple components or systems.

Material properties are discussed through tensile testing, binary diagrams and microstructure.

The dimensioning of a component includes the choice of the most suitable material, the definition of the geometry to ensure static and fatigue resistance. The dimensional analysis approach also makes it possible to determine the characteristics of a more complex system from experiments conducted on a scale model.

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This course will approach, in the continuity of the analysis course of S2, the notion of series with terms of any sign. The Riemann integral will be defined and applied to treat differential equations, especially linear ones. The integration part will be extended to generalized integrals.

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This unit concerns the study of the mechanics of rigid solids. It is the natural continuation of the unit devoted to the kinematics and statics of rigid solids in L1. In this unit we will place ourselves in a dynamic framework and apply the Fundamental Principle of Dynamics. The writing of this principle requires the knowledge of the torsor of the external actions, studied in L1, but also the knowledge of the dynamic torsor. The latter can be calculated with the help of the kinetic torsor which, for a rigid solid, uses the notion of moment of inertia. The main applications studied in this unit concern the rigid solid or simple cases of articulated systems of rigid solids. In addition, we will study the particular case of contact and friction actions (Coulomb friction) and we will approach the Kinetic Energy Theorem.

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This module is a basic module on the physical properties of materials and techniques for sizing mechanically simple components or systems.

Material properties are discussed through tensile testing, binary diagrams and microstructure.

The dimensioning of a component includes the choice of the most suitable material, the definition of the geometry to ensure static and fatigue resistance. The dimensional analysis approach also makes it possible to determine the characteristics of a more complex system from experiments conducted on a scale model.

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This course will allow students to discover the various careers in mathematics through presentations of job opportunities, thematic conferences and round tables.

For students who benefit from a pre-professionalization contract, the UE accompanies their activity in the institution, by bringing some elements intended to enrich their observation and to give them some distance. It is also a question of preparing the written work that they will have to submit.

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The first-semester course reviews the grammar essential for oral and written communication(tenses and aspect, asking questions, comparisons and superlatives, passive voice) as well as essential general vocabulary(numbers, measurements, shapes); it also includes an introduction to technical vocabulary(basic building materials, plane engine, bike parts, electronic device) through themed lessons and videos in the field of mechanical engineering.

Finally, numerous activities are offered to promote oral expression skills (presentation vocabulary, simulations, role-playing and board games), so that students are able to describe the specific features, functions and uses of a piece of technical equipment of their choice in an oral presentation by groups of two.

S4

Grammatical aspects are limited to a review of modal auxiliaries.

The vocabulary is much more focused on the various elements involved in the design and operation of different types of heat engines, and on emerging technologies(drones, driverless vehicles, 3D-printing).

Students are also expected to produce a CV in English and practice writing emails in a formal style, so as to be prepared for internship or job-seeking situations where fluency in English will either be necessary or an additional skill.

The practice of expression is always the main objective, with an individual oral presentation at the end of the semester of their second-year project in mechanics.

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In this course, an introduction to the topology of R^n, the basic notions of differential calculus of R^n functions in R and optimization will be covered. Parametric curves will also be covered.

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This course will cover the concepts of sequences and series of functions and the various convergences. The integer and Fourier series will also be developed.

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This course provides skills in computer-aided design and mechanism simulation.

In CAD, aspects such as part mode (3D design of a mechanical part), assembly mode (design of a mechanism), drawing of parts or overall drawings will be covered.

The kinematic and dynamic behavior of rigid solid mechanisms will be simulated using CAD/CAM software.

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The first part of this course aims to consolidate the notions of magnetostatics and to establish the relations of the electromagnetic field at the interface of a plane of charges or current. We also introduce the expression of Laplace forces (force and moment) acting on volumetric or filiform circuits. The second part is devoted to the properties of fields and potentials in variable regime. After introducing Faraday's law describing induction phenomena, we establish Maxwell's time-dependent equations. An energetic treatment allows us to define the electric and magnetic energies, as well as the Poynting vector. We apply these concepts to different examples such as electromechanical conversion or induction heating via eddy currents. A last chapter is devoted to the equations of propagation of fields and potentials, and to their application in vacuum-like systems, as well as in perfect conductors and insulators. The notion of skin depth is also introduced.

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This course is an introduction to bilinear algebra and will cover Euclidean and Hermitian spaces. It will deal with isometries, duality, quadratic forms and endomorphisms.

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This ECUE provides knowledge on the different manufacturing processes (Machining, Foundry, Forge, Plastics....).

It also allows the acquisition of the classical drawing rules of mechanical parts in adequacy with the most common methods of obtaining the rough parts.

On the basis of a specification and/or a definition drawing, students must be able to: choose a manufacturing or assembly process by carrying out the layout related to the process.

They must also be able to produce a prototype by traditional machining or on a "rapid prototyping" NC machine, and to check the specifications during and after machining. They will also learn about casting and welding during a practical course.

Finally, it allows the future designer to become aware of the problems encountered in the methods office to produce parts from a definition drawing.

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This module is a basic module on the physical properties of materials and techniques for sizing mechanically simple components or systems.

Material properties are discussed through tensile testing, binary diagrams and microstructure.

The dimensioning of a component includes the choice of the most suitable material, the definition of the geometry to ensure static and fatigue resistance. The dimensional analysis approach also makes it possible to determine the characteristics of a more complex system from experiments conducted on a scale model.

See full page

This unit concerns the study of the mechanics of rigid solids. It is the natural continuation of the unit devoted to the kinematics and statics of rigid solids in L1. In this unit we will place ourselves in a dynamic framework and apply the Fundamental Principle of Dynamics. The writing of this principle requires the knowledge of the torsor of the external actions, studied in L1, but also the knowledge of the dynamic torsor. The latter can be calculated with the help of the kinetic torsor which, for a rigid solid, uses the notion of moment of inertia. The main applications studied in this unit concern the rigid solid or simple cases of articulated systems of rigid solids. In addition, we will study the particular case of contact and friction actions (Coulomb friction) and we will approach the Kinetic Energy Theorem.

See full page

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This module is a basic module on the physical properties of materials and techniques for sizing mechanically simple components or systems.

Material properties are discussed through tensile testing, binary diagrams and microstructure.

The dimensioning of a component includes the choice of the most suitable material, the definition of the geometry to ensure static and fatigue resistance. The dimensional analysis approach also makes it possible to determine the characteristics of a more complex system from experiments conducted on a scale model.

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This module is a continuation of the HLME303 module and introduces the first analysis tools necessary for the implementation of a design approach for mechanical systems. It aims to give methods of analysis and dimensioning of mechanical systems built on the most widespread technological components.

This module is based solely on lectures and practical work, but maintains a strong interaction with module HLME401 "Technology Project" in order to put into practice all the acquired skills on a case study. Initially, the main methods of modeling mechanical systems (functional analysis, kinematic diagram) will be addressed. Then, we will be interested in the essential technological components used to carry out guidings in rotations (plain bearings) or to transmit power (belt, gear).

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The first-semester course reviews the grammar essential for oral and written communication(tenses and aspect, asking questions, comparisons and superlatives, passive voice) as well as essential general vocabulary(numbers, measurements, shapes); it also includes an introduction to technical vocabulary(basic building materials, plane engine, bike parts, electronic device) through themed lessons and videos in the field of mechanical engineering.

Finally, numerous activities are offered to promote oral expression skills (presentation vocabulary, simulations, role-playing and board games), so that students are able to describe the specific features, functions and uses of a piece of technical equipment of their choice in an oral presentation by groups of two.

S4

Grammatical aspects are limited to a review of modal auxiliaries.

The vocabulary is much more focused on the various elements involved in the design and operation of different types of heat engines, and on emerging technologies(drones, driverless vehicles, 3D-printing).

Students are also expected to produce a CV in English and practice writing emails in a formal style, so as to be prepared for internship or job-seeking situations where fluency in English will either be necessary or an additional skill.

The practice of expression is always the main objective, with an individual oral presentation at the end of the semester of their second-year project in mechanics.

See full page

See full page

This course provides skills in computer-aided design and mechanism simulation.

In CAD, aspects such as part mode (3D design of a mechanical part), assembly mode (design of a mechanism), drawing of parts or overall drawings will be covered.

The kinematic and dynamic behavior of rigid solid mechanisms will be simulated using CAD/CAM software.

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This project allows the students, coming from different initial trainings, to apply the theoretical and/or technological notions seen before and in the other modules of the training, within the framework of the study of a proposed mechanical system or of their choice (after validation).

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