L2-L3 BACHELOR'S DEGREE IN MECHANICAL ENGINEERING

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This course is the first step in teaching electromagnetism at university. It covers electrostatics, steady currents, and magnetostatics.

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This course will cover the concepts of symmetric groups and determinants, and will address the reduction of endomorphisms in finite dimensions (up to Jordan form) and its applications. It is a first step toward spectral analysis.

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This course will cover the particularities of floating-point arithmetic, then detail common elementary numerical methods for solving nonlinear equations, interpolating a function, and approximating an integral. Students will learn how to implement an algorithm for solving a numerical analysis problem.

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

The properties of materials are examined using tensile testing, binary diagrams, and microstructure analysis.

Component dimensioning involves choosing the most suitable material and defining the geometry to ensure static and fatigue resistance. The dimensional analysis process also makes it possible to determine the characteristics of a more complex system based on experiments conducted on a scale model.

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This course will build on the S2 analysis course by covering the concepts of series with terms of any sign. Riemann integrals will be defined and applied to solve differential equations, particularly linear ones. The integration section will be expanded to include generalized integrals.

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This course unit concerns the study of rigid body mechanics. It is the natural continuation of the course unit devoted to the kinematics and statics of rigid bodies in L1. In this course unit, we will place ourselves in a dynamic framework and apply the Fundamental Principle of Dynamics. Writing this principle requires knowledge of the tensor of external actions, studied in L1, as well as knowledge of the dynamic tensor. The latter can be calculated using the kinetic tensor, which involves the concept of moment of inertia for a rigid solid. The main applications studied in this course concern rigid solids or simple cases of articulated systems of rigid solids. In addition, we will study the special case of contact and friction actions (Coulomb friction) and we will discuss the kinetic energy theorem.

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

The properties of materials are examined using tensile testing, binary diagrams, and microstructure analysis.

Component dimensioning involves choosing the most suitable material and defining the geometry to ensure static and fatigue resistance. The dimensional analysis process also makes it possible to determine the characteristics of a more complex system based on experiments conducted on a scale model.

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The first semester course reviews the grammar concepts 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, airplane engines, bike parts, electronic devices) through lessons and videos on topics related to mechanical engineering.

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

S4

Grammar 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 combustion engines and on emerging technologies (drones, driverless vehicles, 3D printing).

Students must also produce a CV in English and practice writing emails in a formal style, so that they are prepared for situations when looking for internships or jobs where English proficiency will either be necessary or an additional skill.

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

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This course will cover an introduction to the topology of R^n, the basic concepts of differential calculus of functions from R^n to R, and optimization. Parametric curves will also be discussed.

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The first part of this course aims to consolidate the concepts of magnetostatics and establish the relationships between 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 volume or wire circuits. The second part is devoted to the properties of fields and potentials in variable regimes. After introducing Faraday's law describing induction phenomena, we establish Maxwell's time-dependent equations. An energy treatment allows us to define electrical and magnetic energies, as well as the Poynting vector. We apply these concepts to various examples, such as electromechanical conversion and induction heating via eddy currents. The final chapter is devoted to the propagation equations of fields and potentials, and their application in systems assimilated to a vacuum, as well as in perfect conductors and insulators. The concept of skin depth is also introduced.

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This EU concerns the study of mechanical systems as chains of rigid solids connected to each other by mechanical links.

The study of mechanical systems will be conducted from a kinematic, sthenic, and energetic perspective.

The concepts of torsors, connections, the Fundamental Principle of Statics, geometry of masses, the Fundamental Principle of Dynamics, and energy will be revisited in the study of mechanical systems to determine connection forces and equations of motion.

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This course will cover the concepts of sequences and series of functions and various types of convergence. Entire series and Fourier series will also be discussed.

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This course unit enables students to acquire skills in computer-aided design and mechanism simulation.

With regard to CAD, the course will cover part mode (3D design of a mechanical part), assembly mode (design of a mechanism), and drafting of parts or assembly drawings.

As part of the simulation, we will use CMAO software to examine the kinematic and dynamic behavior of mechanisms made up of rigid solids.

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

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The objective of this teaching unit is to provide students with the tools necessary for technical communication in mechanics, with an emphasis on reading technical drawings, technical drawing (vocabulary, technical drawing rules, projections, intersections, cuts, sections, technological components, etc.) and the creation of virtual models using CAD software (Solidworks).

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 This course consists of complementary analysis and algebra focused on practical calculations. 

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This ECUE provides knowledge about different manufacturing processes (machining, casting, forging, plastics processing, etc.).

It also enables students to learn the classic rules for drawing mechanical parts in line with the most common methods of obtaining raw materials.

Based on specifications and/or a design drawing, students must be able to: choose a manufacturing or assembly process by producing the drawings associated with the process.

They must also be able to produce a prototype using traditional machining or CNC "rapid prototyping" techniques, and check specifications during and after machining. They will also learn about casting and welding during a practical workshop.

Finally, it helps to make future designers aware of the problems encountered in the engineering department when producing parts from a design drawing.

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

The properties of materials are examined using tensile testing, binary diagrams, and microstructure analysis.

Component dimensioning involves choosing the most suitable material and defining the geometry to ensure static and fatigue resistance. The dimensional analysis process also makes it possible to determine the characteristics of a more complex system based on experiments conducted on a scale model.

See the full page

This course unit concerns the study of rigid body mechanics. It is the natural continuation of the course unit devoted to the kinematics and statics of rigid bodies in L1. In this course unit, we will place ourselves in a dynamic framework and apply the Fundamental Principle of Dynamics. Writing this principle requires knowledge of the tensor of external actions, studied in L1, as well as knowledge of the dynamic tensor. The latter can be calculated using the kinetic tensor, which involves the concept of moment of inertia for a rigid solid. The main applications studied in this course concern rigid solids or simple cases of articulated systems of rigid solids. In addition, we will study the special case of contact and friction actions (Coulomb friction) and we will discuss the kinetic energy theorem.

See the full page

The first semester course reviews the grammar concepts 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, airplane engines, bike parts, electronic devices) through lessons and videos on topics related to mechanical engineering.

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

Grammar 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 combustion engines and on emerging technologies (drones, driverless vehicles, 3D printing).

Students must also produce a CV in English and practice writing emails in a formal style, so that they are prepared for situations when looking for internships or jobs where English proficiency will either be necessary or an additional skill.

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

The aim of this course is to enable students to acquire or consolidate language skills that will be essential in their professional lives. English is now the international language of communication in the scientific and technical world, both for scientific publications and at conferences and meetings between professionals.

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

The properties of materials are examined using tensile testing, binary diagrams, and microstructure analysis.

Component dimensioning involves choosing the most suitable material and defining the geometry to ensure static and fatigue resistance. The dimensional analysis process also makes it possible to determine the characteristics of a more complex system based on experiments conducted on a scale model.

See the full page

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This EU concerns the study of mechanical systems as chains of rigid solids connected to each other by mechanical links.

The study of mechanical systems will be conducted from a kinematic, sthenic, and energetic perspective.

The concepts of torsors, connections, the Fundamental Principle of Statics, geometry of masses, the Fundamental Principle of Dynamics, and energy will be revisited in the study of mechanical systems to determine connection forces and equations of motion.

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This module follows on from module HLME303 and introduces the initial analysis tools required to implement a mechanical systems design approach. It aims to provide methods for analyzing and dimensioning mechanical systems built using the most common technological components. 

This module is based solely on lectures and tutorials, but maintains a strong interaction with the HLME401 "Technology Project" module in order to put all the skills acquired into practice in a case study. Initially, the main methods of modeling mechanical systems (functional analysis, kinematic diagram) will be covered. Then, we will focus on the essential technological components used to achieve rotational guidance (plain bearings) or power transmission (belts, gears).

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The first semester course reviews the grammar concepts 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, airplane engines, bike parts, electronic devices) through lessons and videos on topics related to mechanical engineering.

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

S4

Grammar 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 combustion engines and on emerging technologies (drones, driverless vehicles, 3D printing).

Students must also produce a CV in English and practice writing emails in a formal style, so that they are prepared for situations when looking for internships or jobs where English proficiency will either be necessary or an additional skill.

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

See the full page

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This course unit enables students to acquire skills in computer-aided design and mechanism simulation.

With regard to CAD, the course will cover part mode (3D design of a mechanical part), assembly mode (design of a mechanism), and drafting of parts or assembly drawings.

As part of the simulation, we will use CMAO software to examine the kinematic and dynamic behavior of mechanisms made up of rigid solids.

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This project allows students from different initial training backgrounds to apply the theoretical and/or technological concepts they have previously learned and in other modules of the training program, within the framework of studying a proposed mechanical system or one of their choice (after validation).

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The objective of this course is to provide an introduction to numerical tools for solving partial differential equations arising in various fields of engineering. We will cover the spectral method applied to the heat diffusion equation in a bar and the development of codes based on this technique. In particular, students will be required to implement this method in Python in order to learn the basics of this language and versioning tools. Students' work will be produced using the Latex word processor.  

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The emphasis is on the performance and limitations of engineering calculation methods so that students are able to use them correctly "in real-life situations." This real-life application is certainly the most challenging aspect of this introduction to scientific calculation, as it requires not only a certain physical understanding, but also a step back from mathematical modeling and a minimum level of computer skills.

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In the first part: deepen the basic concepts of differential calculus covered in L2.

In the second part: introduce the qualitative study of differential equations.

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Material resistance (RdM) is a specific discipline of continuum mechanics that enables the calculation of stresses and deformations in slender structures made of different materials (machinery, mechanical engineering, building, and civil engineering). It involves 1D static modeling of a deformable solid assimilated to a beam connected to a frame and subjected to external mechanical stresses.

RdM allows the study of the overall behavior of a structure (relationship between stresses—forces or moments—and displacements) to be reduced to that of the local behavior of the materials composing it (relationship between stresses and strains). Mechanical stresses can be seen as the " cohesive forces " of the material. The deformations of a physical object can be observed as a change in its dimensions or overall shape.

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This first module in fluid mechanics aims to provide basic information on the behavior of industrial fluids (air, water, hydraulic fluid) with a view to designing simple systems involving fluids in static or dynamic conditions (flow rates, pressure, speed, pressure drops, etc.). The focus is on the study and design of hydraulic installations.

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Rheology is the study of the deformation and flow of matter under the effect of applied mechanical stress. In the field of materials, this science is particularly relevant to the following areas:

            - Viscoelasticity

            - Plasticity

            - Viscoplasticity

            - Non-Newtonian fluids

In practice, rheology is used to characterize the macroscopic mechanical properties of materials whose behavior defies classical theories of elastic solids and Newtonian fluids (with constant viscosity). Such materials can therefore be considered as having behavior that lies between that of solids and fluids, between elastic and viscous.

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This course aims to introduce the basics of physical hydrodynamics. Kinematic aspects are covered first: Euler and Lagrange formalism, analysis of the motion of a fluid volume element, introduction of velocity current and potential functions, and applications to different types of flows. In the next part of fluid dynamics, we establish Euler's equation and Bernoulli's relation for the flow of ideal fluids, then Navier-Stokes' equation describing the flow of viscous Newtonian fluids. This section will lead us to define the stress tensor and the Reynolds number, which can be used to determine whether a flow is laminar or turbulent. The course ends with an introduction to the mechanics of deformable solids: displacement field, dilation tensor, and deformation tensor.

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The course links scientific computing and variational methods for mechanics and is designed to model simple physical equations and implement numerical methods to solve these equations.

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Acquire basic knowledge of numerical methods for differential equations

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Language tutorial courses aimed at training the five language skills;

Listening comprehension & speaking

Reading comprehension & writing

Oral interaction

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• read a technical plan of medium difficulty
• recognize standard mechanical components on a drawing
• identify how a moderately difficult mechanical system works based on an overall plan
• draw a part in multiple views following the rules of projection
• Identify and draw the intersections of cylinder-plane, cylinder-cylinder, plane-cone, and cylinder-cone.
• draw cross-sectional views and sections
• extract a part from a medium-difficulty assembly drawing
• use of the basic functions of Solidworks software (parts mode, assembly, and drafting)

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Research and Development (R&D) is both the combination of a team's work and individual talents, all in the service of innovation (applied research) and knowledge (fundamental research). The topics are diverse and varied, but a certain methodology is necessary to address any R&D issue.

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The objective of this course is to model continuous solid media, initially focusing on elastostatics under the assumption of small perturbations. In this course, we will explore the application of the fundamental principle of statics to deformable solids. The following concepts are introduced for this purpose: tensors and tensor fields, tensor algebra and analysis, boundary value problems, the fundamental principle of statics, and the principle of virtual work. Techniques for the analytical solution of classical problems and energy approaches will be discussed. This course is fundamental to the training of students in mechanics, whether they are oriented towards design and engineering or towards R&D.

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Project assigned to a group of two to three students, supervised by a tutor. Weekly meetings to monitor progress and provide assistance with writing a report and preparing an oral presentation. The work is spread over one semester and concludes with the submission of a report and an oral defense.

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This teaching unit is an introductory advanced module in mechanical design. It provides tools for selecting technologies that meet the classic functions of mechanisms (embedding and rotational guidance using bearings), based on partially provided functional specifications, industrial documentation, and regulatory standards. Practical work analyzing existing mechanisms and designing basic technological solutions will complement this teaching.

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Language tutorial courses aimed at training the five language skills;

Listening comprehension & speaking

Reading comprehension & writing

Oral interaction

Continuous speaking - presentations

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Material resistance (RdM) is a specific discipline of continuum mechanics that enables the calculation of stresses and deformations in slender structures made of different materials (machinery, mechanical engineering, building, and civil engineering). It involves 1D static modeling of a deformable solid assimilated to a beam connected to a frame and subjected to external mechanical stresses.

RdM allows the study of the overall behavior of a structure (relationship between stresses—forces or moments—and displacements) to be reduced to that of the local behavior of the materials composing it (relationship between stresses and strains). Mechanical stresses can be seen as the " cohesive forces " of the material. The deformations of a physical object can be observed as a change in its dimensions or overall shape.

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This teaching unit introduces students to project management, taking into account the major challenges facing business performance. Students find themselves in a position where they are steering the key phases of the product design process.

This project-based teaching approach allows for a detailed analysis of each phase of the design process in the form of case studies. Students therefore learn methods for generating ideas (creativity, functional analysis) through to the creation of the product architecture.

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This first module in fluid mechanics aims to provide basic information on the behavior of industrial fluids (air, water, hydraulic fluid) with a view to designing simple systems involving fluids in static or dynamic conditions (flow rates, pressure, speed, pressure drops, etc.). The focus is on the study and design of hydraulic installations.

See the full page

Rheology is the study of the deformation and flow of matter under the effect of applied mechanical stress. In the field of materials, this science is particularly relevant to the following areas:

            - Viscoelasticity

            - Plasticity

            - Viscoplasticity

            - Non-Newtonian fluids

In practice, rheology is used to characterize the macroscopic mechanical properties of materials whose behavior defies classical theories of elastic solids and Newtonian fluids (with constant viscosity). Such materials can therefore be considered as having behavior that lies between that of solids and fluids, between elastic and viscous.

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This course provides the basic tools needed for the functional dimensioning of mechanical systems. After presenting one-dimensional dimensioning and its limitations, 3D geometric tolerancing (GPS), in accordance with ISO standards, is introduced in order to learn how to read and then write a geometric tolerance according to the functional requirements of a part in a mechanical system. The study of the hyperstaticity of the mechanism and connections then makes it possible to establish the functional conditions required to ensure the assembly and proper functioning of the system. Dimensional and geometric tolerances are then determined by setting up and resolving dimension chains. Finally, once the parts have been manufactured, it is necessary to perform metrological checks and verify their conformity with the functional dimensions.

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This course unit is a core module in mechanical design technology. It enables students to apply the concepts of standard component dimensioning mainly seen in the L2 (introduction to mechanical design) and L3 (structure and dimensioning, mechanical design 1 and 2) technology course units in the case of existing mechanical systems. It also indirectly draws on all other courses in rigid and deformable solid mechanics, mainly seen in L2 and L3.

The emphasis is on discovering and comparing real technological solutions, thereby enriching technological culture, and on researching, critically selecting, and pre-dimensioning technological solutions compatible with the system under study based on partial (re)design specifications. Finally, the implementation of the chosen solution is based on the drafting of an accurate industrial design, both on paper and using CAD software, with complete dimensions for one of the mechanism's parts.

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This course concludes the technology component of the Bachelor's degree in Mechanical Engineering, CDPI track, which consists of four modules. It aims to provide students with the tools to understand and design complex mechanical systems (automatic transmissions, power transmission mechanisms, etc.).

Half of this module is based on lectures/tutorials to study pulley-belt systems, clutches/brakes, and preloaded systems with applications to preloaded bearing assemblies. At the same time, the course draws on practical work analyzing different mechanical systems (CVT gearboxes, automatic gearboxes, brakes, clutches, preloaded bearing assemblies, etc.), as well as practical design work to apply the skills acquired to specific case studies.

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Language tutorial courses aimed at training the five language skills;

Listening comprehension & speaking

Reading comprehension & writing

Oral interaction

See the full page

• read a technical plan of medium difficulty
• recognize standard mechanical components on a drawing
• identify how a moderately difficult mechanical system works based on an overall plan
• draw a part in multiple views following the rules of projection
• Identify and draw the intersections of cylinder-plane, cylinder-cylinder, plane-cone, and cylinder-cone.
• draw cross-sectional views and sections
• extract a part from a medium-difficulty assembly drawing
• use of the basic functions of Solidworks software (parts mode, assembly, and drafting)

See the full page

Research and Development (R&D) is both the combination of a team's work and individual talents, all in the service of innovation (applied research) and knowledge (fundamental research). The topics are diverse and varied, but a certain methodology is necessary to address any R&D issue.

See the full page

The objective of this course is to model continuous solid media, initially focusing on elastostatics under the assumption of small perturbations. In this course, we will explore the application of the fundamental principle of statics to deformable solids. The following concepts are introduced for this purpose: tensors and tensor fields, tensor algebra and analysis, boundary value problems, the fundamental principle of statics, and the principle of virtual work. Techniques for the analytical solution of classical problems and energy approaches will be discussed. This course is fundamental to the training of students in mechanics, whether they are oriented towards design and engineering or towards R&D.

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This project is initiated by a request from a client (project leader) who presents their needs to the students. It involves an application that places the student in the position of a service provider responding to the client's needs or requests. The aim of this project is to replicate the methods used in business.

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