L2-L3 LICENCE MECANIQUE

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

See the syllabus in the "+ info" tab.

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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. This is a first step towards spectral analysis.

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In this course, we'll look at the particularities of floating-point calculus and then go into detail on the most common elementary numerical methods for solving non-linear equations, interpolating a function and approximating an integral. Students will learn how to implement an algorithm to solve a numerical analysis problem.

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

Material properties are covered using tensile testing, binary diagrams and microstructure.

Component dimensioning involves selecting the most suitable material and defining the geometry to ensure static and fatigue strength. Dimensional analysis can also be used to determine the characteristics of a more complex system, based on experiments carried out on a scale model.

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Following on from the analysis course in S2, this course deals with the notion of series with terms of any sign. The Riemann integral will be defined and applied to linear and other differential equations. The integration section will be extended to generalized integrals.

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This unit deals with 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'll take a dynamic approach and apply the Fundamental Principle of Dynamics. Writing this principle requires knowledge of the external action torsor, studied in L1, as well as knowledge of the dynamic torsor. The latter can be calculated using the kinetic torsor, which for a rigid solid involves the notion of moment of inertia. The main applications studied in this unit 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 the Kinetic Energy Theorem.

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

Material properties are covered using tensile testing, binary diagrams and microstructure.

Component dimensioning involves selecting the most suitable material and defining the geometry to ensure static and fatigue strength. Dimensional analysis can also be used to determine the characteristics of a more complex system, based on experiments carried out on a scale model.

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This course includes presentations on career opportunities, themed lectures and round-table discussions on the various mathematical professions.

For students with a pre-professionalization AED contract, the UE accompanies their activity in the establishment, providing a few elements to enrich their observation and give them perspective. It also prepares them for the written work they will be required to submit.

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This UE covers the study of mechanical systems as chains of rigid solids linked together by mechanical connections.

Mechanical systems will be studied from a kinematic, sthenic and energetic point of view.

The concepts of torsors, links, the Fundamental Principle of Statics, mass geometry, the Fundamental Principle of Dynamics and energy will be used in the study of mechanical systems to determine link forces and the equations of motion.

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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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This course covers an introduction to the topology of R^n, the basics of differential calculus for R^n functions in R and optimization. Parametric curves will also be covered.

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This course covers the notions of function sequences and series, and the various convergences. 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 is designed to consolidate the concepts of magnetostatics and establish the relations between the electromagnetic field at the interface of a plane of charges or currents. 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 the 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 various examples, such as electromechanical conversion or induction heating via eddy currents. A final chapter is devoted to the equations of field and potential propagation, and 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, covering Euclidean and Hermitian spaces. It covers isometries, duality, quadratic forms and endomorphisms.

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The aim of this teaching unit is to give students the tools they need for technical communication in mechanical engineering, with particular emphasis on reading technical drawings, technical drawing (vocabulary, rules of technical drawing, projections, intersections, sections, technological components, etc.) and the production of virtual models using CAD software (Solidwork).

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 This course is a combination of analysis and algebra, with a focus on practical calculations. 

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This ECUE provides knowledge of the various manufacturing processes (Machining, Foundry, Forge, Plastics....).

It also enables you to acquire the classic design rules for mechanical parts, in line with the most common raw material production methods.

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

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

Last but not least, it makes the future designer aware of the problems encountered in the methods office when producing parts from a definition drawing.

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

Material properties are covered using tensile testing, binary diagrams and microstructure.

Component dimensioning involves selecting the most suitable material and defining the geometry to ensure static and fatigue strength. Dimensional analysis can also be used to determine the characteristics of a more complex system, based on experiments carried out on a scale model.

See full page

This unit deals with 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'll take a dynamic approach and apply the Fundamental Principle of Dynamics. Writing this principle requires knowledge of the external action torsor, studied in L1, as well as knowledge of the dynamic torsor. The latter can be calculated using the kinetic torsor, which for a rigid solid involves the notion of moment of inertia. The main applications studied in this unit 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 the Kinetic Energy Theorem.

See full page

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.

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.

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

See full page

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

Material properties are covered using tensile testing, binary diagrams and microstructure.

Component dimensioning involves selecting the most suitable material and defining the geometry to ensure static and fatigue strength. Dimensional analysis can also be used to determine the characteristics of a more complex system, based on experiments carried out on a scale model.

See full page

This UE covers the study of mechanical systems as chains of rigid solids linked together by mechanical connections.

Mechanical systems will be studied from a kinematic, sthenic and energetic point of view.

The concepts of torsors, links, the Fundamental Principle of Statics, mass geometry, the Fundamental Principle of Dynamics and energy will be used in the study of mechanical systems to determine link forces and the equations of motion.

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This module is a continuation of the HLME303 module, and introduces the initial analysis tools needed to implement a design approach for mechanical systems. It aims to provide methods for analyzing and dimensioning mechanical systems built on the most widely used technological components.

This module is based solely on lectures and practical work, but maintains a strong interaction with the HLME401 "Technology Project" module, in order to put all the skills acquired into practice on a case study. Initially, the main methods for modeling mechanical systems (functional analysis, kinematic diagrams) will be covered. Then, we'll look at the essential technological components used to guide rotation (plain bearings) or transmit power (belts, gears).

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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

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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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This project enables students from different educational backgrounds to apply the theoretical and/or technological concepts they have learned previously and in other modules of the course, to the study of a proposed mechanical system or a system of their choice (after validation).

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The aim of this course is to provide an introduction to numerical tools for solving partial differential equations from various fields of engineering. The spectral method applied to the equation of heat diffusion in a bar will be covered, as well as the development of codes based on this technique. In particular, students will be asked to implement this method in Python, integrating the basics of this language and versioning tools. Documents submitted by students will be produced using Latex word processing.  

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Emphasis is placed on the performance and limitations of engineering calculation methods, so that the student is able to use them correctly "in situation". This situational approach is certainly the most challenging aspect of this introduction to scientific computing, as it calls not only for a certain physical sense, but also for mathematical modelling and a minimum of computer skills.

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In the first part: deepen the basic notions of differential calculus seen in L2.

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

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Resistance of materials (RoM) is a special discipline of continuum mechanics, used to calculate stresses and strains 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 linked to a frame and subjected to external mechanical loads.

RoM allows us to reduce the study of a structure's overall behavior (the relationship between stresses - forces or moments - and displacements) to that of the local behavior of the materials making it up(the relationship between stresses and strains). Mechanical stresses can be seen as " cohesive forces " in matter. The deformations of a physical object can be observed by a variation in its dimensions or overall shape.

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The aim of this first Fluid Mechanics module is to provide a basic understanding of the behavior of industrial fluids (air, water, hydraulic fluids), with a view to dimensioning simple systems involving static or dynamic fluids (flow rates, pressure, velocity, pressure drops, etc.). Emphasis is placed on the study and design of hydraulic installations.

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Rheology is the study of material deformation and flow under applied mechanical stress. In the field of materials, this science particularly concerns the following areas:

            - Viscoelasticity

            - Plasticity

            - Viscoplasticity

            - Non-Newtonian fluids

In practice, rheology is used to characterize the macroscopic mechanical properties of materials whose behavior escapes the classical theories of elastic solids and Newtonian fluids (with constant viscosity). Such materials can thus be considered as having an intermediate behavior between solid and fluid, between elastic and viscous.

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The aim of this course is to introduce the basics of physical hydrodynamics. The kinematic aspects are dealt with first: Euler and Lagrange formalism, analysis of the motion of an element of fluid volume, introduction of current and potential velocity functions, and applications to different types of flow. In the following section on fluid dynamics, we establish Euler's equation and Bernoulli's relation for the flow of perfect fluids, followed by the Navier-Stokes equation describing the flow of viscous Newtonian fluids. This will lead to the definition of the stress tensor and the Reynolds number, enabling us to deduce whether a flow is laminar or turbulent. The course concludes with an introduction to the mechanics of deformable solids : displacement field, expansion and deformation tensors.

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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 notions of numerical methods for differential equations

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TD language courses aimed at training the 5 language skills;

Oral comprehension & expression

Written comprehension & expression

Oral interaction

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• read a technical drawing of medium difficulty
• identify standard mechanical components on a drawing
• identify the operation of a mechanical system of moderate difficulty from an overall drawing
• draw a part in several views, following the rules of projection
• identify and draw cylinder-plane, cylinder-cylinder, plane-cone, cylinder-cone intersections
• draw cross-sections and sectional views
• extract a part from an overall drawing of moderate difficulty
• use of basic Solidwork functions (part mode, assembly and drawing)

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Research & Development (R&D) is both the product of teamwork and individual talent, all at the service of innovation (applied research) and knowledge (fundamental research). The themes are diverse and varied, but a certain methodology is required to tackle any R&D problem.

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The aim of this course is to model continuous solid media, initially restricting ourselves to elastostatics under the assumption of small perturbations. The fundamental principle of statics is applied to deformable solids. The following concepts are introduced: tensors and tensor fields, algebra and tensor analysis, boundary problems, fundamental principle of statics, virtual power principle. Techniques for analytically solving classical problems and energy approaches are also covered. This course is fundamental to the training of students in mechanics, whether they are going into design or 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 help students write a report and give an oral presentation. Work is spread over a semester, culminating in a report and oral presentation.

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This teaching unit is a first advanced module in mechanical design. It provides tools for the discriminating choice of technologies to meet classic mechanism functions (embedding and rotational guidance by bearings), based on partially supplied functional specifications, industrial documentation and regulatory standards. Practical work on analyzing existing mechanisms and designing basic technological solutions will complete the course.

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TD language courses aimed at training the 5 language skills;

Oral comprehension & expression

Written comprehension & expression

Oral interaction

Continuous speaking - presentations

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Resistance of materials (RoM) is a special discipline of continuum mechanics, used to calculate stresses and strains 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 linked to a frame and subjected to external mechanical loads.

RoM allows us to reduce the study of a structure's overall behavior (the relationship between stresses - forces or moments - and displacements) to that of the local behavior of the materials making it up(the relationship between stresses and strains). Mechanical stresses can be seen as " cohesive forces " in matter. The deformations of a physical object can be observed by a variation in its dimensions or overall shape.

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This course introduces students to project management, taking into account the major issues at stake in corporate performance, and puts them in a position to manage key phases of the product design process.

This project-based teaching approach provides a detailed analysis of each phase of the design process, in the form of case studies. Students learn how to generate an idea (creativity, functional analysis) right through to product architecture.

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The aim of this first Fluid Mechanics module is to provide a basic understanding of the behavior of industrial fluids (air, water, hydraulic fluids), with a view to dimensioning simple systems involving static or dynamic fluids (flow rates, pressure, velocity, pressure drops, etc.). Emphasis is placed on the study and design of hydraulic installations.

See full page

Rheology is the study of material deformation and flow under applied mechanical stress. In the field of materials, this science particularly concerns the following areas:

            - Viscoelasticity

            - Plasticity

            - Viscoplasticity

            - Non-Newtonian fluids

In practice, rheology is used to characterize the macroscopic mechanical properties of materials whose behavior escapes the classical theories of elastic solids and Newtonian fluids (with constant viscosity). Such materials can thus be considered as having an intermediate behavior between solid and fluid, between elastic and viscous.

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This course provides the basic tools required for the functional dimensioning of mechanical systems. After a presentation of 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 links then enables the functional conditions required to ensure the assembly and correct operation of the system to be established. Dimensional and geometric tolerances are then determined by setting up and resolving dimensional chains. Finally, once the parts have been manufactured, it is necessary to carry out metrological checks and verify their conformity with the functional dimensioning.

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

Emphasis is placed on the discovery and comparison of real technological solutions, to enrich the technological culture, and on the research, critical choice and pre-dimensioning of technological solutions compatible with the system studied, based on partial (re)design specifications. Finally, the realization of the chosen solution is based on the sketching of an accurate drawing in the sense of industrial drawing, both on paper and using CAD software, with complete dimensioning of one of the mechanism's parts.

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This course completes the 4-module technology syllabus of the Bachelor of Mechanics, CDPI course. It aims to provide tools for understanding and sizing complex mechanical systems (automatic gearboxes, power transmission mechanisms, etc.).

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

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TD language courses aimed at training the 5 language skills;

Oral comprehension & expression

Written comprehension & expression

Oral interaction

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• read a technical drawing of medium difficulty
• identify standard mechanical components on a drawing
• identify the operation of a mechanical system of moderate difficulty from an overall drawing
• draw a part in several views, following the rules of projection
• identify and draw cylinder-plane, cylinder-cylinder, plane-cone, cylinder-cone intersections
• draw cross-sections and sectional views
• extract a part from an overall drawing of moderate difficulty
• use of basic Solidwork functions (part mode, assembly and drawing)

See full page

Research & Development (R&D) is both the product of teamwork and individual talent, all at the service of innovation (applied research) and knowledge (fundamental research). The themes are diverse and varied, but a certain methodology is required to tackle any R&D problem.

See full page

The aim of this course is to model continuous solid media, initially restricting ourselves to elastostatics under the assumption of small perturbations. The fundamental principle of statics is applied to deformable solids. The following concepts are introduced: tensors and tensor fields, algebra and tensor analysis, boundary problems, fundamental principle of statics, virtual power principle. Techniques for analytically solving classical problems and energy approaches are also covered. This course is fundamental to the training of students in mechanics, whether they are going into design or R&D.

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This project is triggered by the request of a customer (project owner) who comes to present his need to the students. It's an application that puts the student in the position of a service provider, responding to the customer's need or request. This project aims to reproduce the methods used in the corporate world.

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