L2-L3 BACHELOR'S DEGREE IN MECHANICAL ENGINEERING

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This course is the first step in university-level electromagnetism instruction. It covers electrostatics, steady-state currents, and magnetostatics.

See the syllabus in the “More Info” tab

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This course will cover the concepts of symmetric groups and determinants, and will address the reduction of endomorphisms to finite dimensions (up to Jordan form) and its applications. It serves as an introduction to spectral analysis.

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In this course, we will cover the fundamentals of floating-point arithmetic and then discuss common basic numerical methods for solving nonlinear equations, interpolating functions, and approximating integrals. Students will learn how to implement an algorithm to solve a numerical analysis problem.

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

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

Component design involves selecting the most suitable material and defining the geometry to ensure structural integrity and fatigue resistance. The dimensional analysis approach 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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Building on the analysis course from the second semester, this course will cover the concepts of series with terms of arbitrary sign. The Riemann integral will be defined and applied to solve differential equations, particularly linear ones. The section on integration will be expanded to include generalized integrals.

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This unit focuses on the mechanics of rigid bodies. It is the natural continuation of the unit on the kinematics and statics of rigid bodies covered in the first year of undergraduate studies. In this unit, we will adopt a dynamic framework and apply the Fundamental Principle of Dynamics. Deriving this principle requires knowledge of the torque of external forces, which was studied in the first year, as well as knowledge of the dynamic torque. The latter can be calculated using the kinetic torque, which, for a rigid body, involves the concept of moment of inertia. The main applications studied in this unit concern rigid bodies or simple cases of articulated systems of rigid bodies. In addition, we will study the special case of contact and friction forces (Coulomb friction) and discuss the Kinetic Energy Theorem.

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

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

Component design involves selecting the most suitable material and defining the geometry to ensure structural integrity and fatigue resistance. The dimensional analysis approach 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 covers the grammatical 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, bicycle parts, electronic devices) through themed lessons and videos in the field of mechanical engineering.

Finally, a wide range of activities are offered to develop oral communication skills (presentation vocabulary, simulations, role-playing, and board games) so that students will be able to describe—during an oral presentation in pairs—the specific features, functions, and uses of a piece of technical equipment of their choice.

S4

The grammatical aspects are limited to a review of modal auxiliaries.

The vocabulary focuses much more on the various components involved in the design and operation of different types of internal combustion engines and on emerging technologies (drones, driverless vehicles, 3D printing).

Students must also submit a resume in English and practice writing formal emails, so that they are prepared for situations involving internship or job searches where proficiency in English will be either required or considered an added asset.

The focus is always on practical application, culminating in an individual oral presentation at the end of the semester on their second-year mechanics project.

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This course will provide 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 covered.

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The first part of this course aims to reinforce the concepts of magnetostatics and to establish the relationships governing the behavior of the electromagnetic field at the interface of a plane of charges or currents. We also introduce the expression for Laplace’s forces (force and torque) acting on volumetric or filiform circuits. The second part is devoted to the properties of fields and potentials in a time-varying regime. After introducing Faraday’s law, which describes induction phenomena, we derive the time-dependent Maxwell’s equations. An energy-based approach 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 propagation of fields and potentials, and their application in systems approximated as a vacuum, as well as in perfect conductors and insulators. The concept of skin depth is also introduced.

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This unit focuses on the study of mechanical systems as chains of rigid bodies connected by mechanical links.

Mechanical systems will be studied from a kinematic, sthenic, and energy perspective.

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

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This course will cover the concepts of sequences and series of functions, as well as various types of convergence. Integral series and Fourier series will also be discussed.

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

With regard to CAD, we will cover the part mode (3D design of a mechanical part), assembly mode (design of a mechanism), and the creation of part drawings and assembly drawings.

As part of the simulation, we will use CAM/CAM software to analyze the kinematic and dynamic behavior of mechanisms composed of rigid bodies.

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This course is an introduction to bilinear algebra and will cover Euclidean and Hermitian spaces. It will address topics such as isometries, duality, quadratic forms, and endomorphisms.

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The objective of this course is to provide students with the tools necessary for technical communication in mechanical engineering, with an emphasis on reading technical drawings, technical drawing (vocabulary, rules of technical drawing, projections, intersections, cross-sections, components, etc.), and the creation of virtual models using CAD software (SolidWorks).

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 This course consists of supplementary material in analysis and algebra focused on practical calculations. 

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

It also allows students to learn the standard rules for drafting mechanical parts in accordance with the most common methods of producing raw parts.

Based on a set of specifications and/or a design drawing, students must be able to: select a manufacturing or assembly process and create the corresponding drawing for that process.

They must also be able to produce a prototype using traditional machining methods or a “rapid prototyping” CNC machine, and verify specifications during and after machining. They will also gain hands-on experience with casting and welding during a lab session.

Finally, it helps future designers understand the challenges faced by the production engineering department when manufacturing parts based on a design drawing.

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

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

Component design involves selecting the most suitable material and defining the geometry to ensure structural integrity and fatigue resistance. The dimensional analysis approach also makes it possible to determine the characteristics of a more complex system based on experiments conducted on a scale model.

View the full page

This unit focuses on the mechanics of rigid bodies. It is the natural continuation of the unit on the kinematics and statics of rigid bodies covered in the first year of undergraduate studies. In this unit, we will adopt a dynamic framework and apply the Fundamental Principle of Dynamics. Deriving this principle requires knowledge of the torque of external forces, which was studied in the first year, as well as knowledge of the dynamic torque. The latter can be calculated using the kinetic torque, which, for a rigid body, involves the concept of moment of inertia. The main applications studied in this unit concern rigid bodies or simple cases of articulated systems of rigid bodies. In addition, we will study the special case of contact and friction forces (Coulomb friction) and discuss the Kinetic Energy Theorem.

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The first-semester course covers the grammatical 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, bicycle parts, electronic devices) through themed lessons and videos in the field of mechanical engineering.

Finally, a wide range of activities are offered to develop oral communication skills (presentation vocabulary, simulations, role-playing, and board games) so that students will be able to describe—during an oral presentation in pairs—the specific features, functions, and uses of a piece of technical equipment of their choice.

The grammatical aspects are limited to a review of modal auxiliaries.

The vocabulary focuses much more on the various components involved in the design and operation of different types of internal combustion engines and on emerging technologies (drones, driverless vehicles, 3D printing).

Students must also submit a resume in English and practice writing formal emails, so that they are prepared for situations involving internship or job searches where proficiency in English will be either required or considered an added asset.

The focus is always on practical application, culminating in an individual oral presentation at the end of the semester on their second-year mechanics project.

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

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

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

Component design involves selecting the most suitable material and defining the geometry to ensure structural integrity and fatigue resistance. The dimensional analysis approach also makes it possible to determine the characteristics of a more complex system based on experiments conducted on a scale model.

View the full page

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This unit focuses on the study of mechanical systems as chains of rigid bodies connected by mechanical links.

Mechanical systems will be studied from a kinematic, sthenic, and energy perspective.

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

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This module builds on the content of module HLME303 and introduces the basic analytical tools necessary for implementing a mechanical systems design process. It aims to provide methods for analyzing and sizing mechanical systems built using the most common technological components. 

This module consists solely of lectures and tutorials but maintains close interaction with the HLME401 “Technology Project” module in order to apply all the acquired skills to a case study. Initially, the main methods for modeling mechanical systems (functional analysis, kinematic diagrams) will be covered. Next, the module will focus on the essential technological components used to create rotational guides (plain bearings) or transmit power (belts, gears).

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The first-semester course covers the grammatical 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, bicycle parts, electronic devices) through themed lessons and videos in the field of mechanical engineering.

Finally, a wide range of activities are offered to develop oral communication skills (presentation vocabulary, simulations, role-playing, and board games) so that students will be able to describe—during an oral presentation in pairs—the specific features, functions, and uses of a piece of technical equipment of their choice.

S4

The grammatical aspects are limited to a review of modal auxiliaries.

The vocabulary focuses much more on the various components involved in the design and operation of different types of internal combustion engines and on emerging technologies (drones, driverless vehicles, 3D printing).

Students must also submit a resume in English and practice writing formal emails, so that they are prepared for situations involving internship or job searches where proficiency in English will be either required or considered an added asset.

The focus is always on practical application, culminating in an individual oral presentation at the end of the semester on their second-year mechanics project.

View the full page

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

With regard to CAD, we will cover the part mode (3D design of a mechanical part), assembly mode (design of a mechanism), and the creation of part drawings and assembly drawings.

As part of the simulation, we will use CAM/CAM software to analyze the kinematic and dynamic behavior of mechanisms composed of rigid bodies.

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This project allows students from different academic backgrounds to apply the theoretical and/or technological concepts they have previously learned—as well as those covered in other modules of the program—as part of a study of a proposed mechanical system or one of their own choosing (subject to approval).

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The objective of this course is to provide an introduction to numerical tools for solving partial differential equations arising from various fields of engineering. We will cover the spectral method as applied to the heat diffusion equation in a rod and the development of codes based on this technique. In particular, students will be required to implement this method in Python in order to gain a foundation in the language and version control tools. Student assignments will be produced using the LaTeX typesetting system.  

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The focus is on the performance and limitations of computational methods in engineering so that students will be able to apply them correctly “in real-world situations.” This real-world application is certainly the most challenging aspect of this introduction to scientific computing, as it requires not only a certain understanding of physics but also a broader perspective on mathematical modeling, as well as a basic level of computer skills.

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In the first part: a more in-depth look at the basic concepts of differential calculus covered in the second year.

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

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Materials strength (RdM) is a specific branch of continuum mechanics that enables the calculation of stresses and strains in slender structures made of various materials (machinery, mechanical engineering, building, and civil engineering). It involves a 1D static model of a deformable solid treated as a beam connected to a frame and subjected to external mechanical loads.

The RdM makes it possible to reduce the study of a structure’s global behavior (the relationship between loads—forces or moments—and displacements) to that of the local behavior of its constituent materials (the relationship between stresses and strains). Mechanical stresses can be viewed as the “cohesive forces ” within the material. The strains of a physical object are observed as changes in its dimensions or overall shape.

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The objective of this first module on fluid mechanics is to provide a basic understanding of the behavior of industrial fluids (air, water, hydraulic fluid) in order to size simple systems involving fluids in static or dynamic conditions (flow rates, pressure, velocity, pressure drops, etc.). The focus is on the study and design of hydraulic systems.

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Rheology is the study of the deformation and flow of materials under the influence of an applied mechanical load. In the field of materials science, this discipline is particularly relevant to the following areas:

            - Viscoelasticity

            - Plasticity

            - Viscoelasticity

            - Non-Newtonian fluids

In practice, rheology makes it possible to characterize the macroscopic mechanical properties of materials whose behavior cannot be described by classical theories of elastic solids and Newtonian fluids (with constant viscosity). Such materials can thus be considered to exhibit behavior that lies between that of a solid and a fluid, and between elastic and viscous behavior.

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This course aims to introduce the fundamentals of physical hydrodynamics. The kinematic aspects are covered first: Eulerian and Lagrangian formalisms, analysis of the motion of a fluid volume element, introduction to the stream and potential velocity functions, and applications to various types of flows. In the next section on fluid dynamics, we derive Euler’s equation and Bernoulli’s equation for the flow of ideal fluids, followed by the Navier-Stokes equation describing the flow of Newtonian viscous fluids. This section will lead us to define the stress tensor as well as the Reynolds number, which allows us to determine whether a flow is laminar or turbulent. The course concludes with an introduction to the mechanics of deformable solids: displacement field, strain tensor, and deformation tensor.

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The course, which combines computational science and variational methods in mechanics, is designed to model simple physical equations and implement numerical methods to solve them

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Acquire a basic understanding of numerical methods for differential equations

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Language lab courses designed to develop the five language skills;

Listening Comprehension & Speaking

Reading Comprehension & Writing

Oral Interaction

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• read a technical drawing of moderate difficulty
• identify standard mechanical components on a drawing
• Identify how a moderately complex mechanical system works based on a general diagram
• Draw a part from multiple views, following the rules of projection
• Identify and draw the intersections of a cylinder and a plane, two cylinders, a plane and a cone, and a cylinder and a cone
• draw cross-sectional views and sections
• Extract a part from a medium-difficulty assembly drawing
• use of the basic functions of SolidWorks software (Part, Assembly, and Drawing modes)

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Research and Development (R&D) is both the result of teamwork and individual talent, all in the service of innovation (applied research) and knowledge (basic research). The topics are diverse and varied, but a certain methodology is necessary to address any R&D challenge.

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The objective of this course is to model solid continuous media, focusing initially 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. To this end, the following concepts are introduced: tensors and tensor fields, tensor algebra and analysis, boundary value problems, the fundamental principle of statics, and the principle of virtual powers. Techniques for the analytical solution of classical problems and energy-based approaches will be covered. This course is fundamental to the education of students in mechanics, whether they are pursuing careers in design and engineering or in R&D.

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

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This course is an introductory advanced module in mechanical design. It provides tools for selecting appropriate technologies to fulfill standard mechanical functions (mounting and rotational guidance using bearings), based on partially provided functional specifications, industrial documentation, and regulatory standards. Laboratory sessions analyzing existing mechanisms and designing basic technological solutions will complement this course.

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Language lab courses designed to develop the five language skills;

Listening Comprehension & Speaking

Reading Comprehension & Writing

Oral Interaction

Continuous Speaking - Presentations

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Materials strength (RdM) is a specific branch of continuum mechanics that enables the calculation of stresses and strains in slender structures made of various materials (machinery, mechanical engineering, building, and civil engineering). It involves a 1D static model of a deformable solid treated as a beam connected to a frame and subjected to external mechanical loads.

The RdM makes it possible to reduce the study of a structure’s global behavior (the relationship between loads—forces or moments—and displacements) to that of the local behavior of its constituent materials (the relationship between stresses and strains). Mechanical stresses can be viewed as the “cohesive forces ” within the material. The strains of a physical object are observed as changes in its dimensions or overall shape.

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This course introduces students to project management by addressing the key challenges related to business performance. Students find themselves in a position to oversee the key phases of the product design process.

This project-based approach allows for a detailed analysis of each phase of the design process through case studies. Students thus learn methods ranging from idea generation (creativity, functional analysis) to the development of the product’s architecture.

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The objective of this first module on fluid mechanics is to provide a basic understanding of the behavior of industrial fluids (air, water, hydraulic fluid) in order to size simple systems involving fluids in static or dynamic conditions (flow rates, pressure, velocity, pressure drops, etc.). The focus is on the study and design of hydraulic systems.

View the full page

Rheology is the study of the deformation and flow of materials under the influence of an applied mechanical load. In the field of materials science, this discipline is particularly relevant to the following areas:

            - Viscoelasticity

            - Plasticity

            - Viscoelasticity

            - Non-Newtonian fluids

In practice, rheology makes it possible to characterize the macroscopic mechanical properties of materials whose behavior cannot be described by classical theories of elastic solids and Newtonian fluids (with constant viscosity). Such materials can thus be considered to exhibit behavior that lies between that of a solid and a fluid, and between elastic and viscous behavior.

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This course provides the basic tools needed for the functional dimensioning of mechanical systems. After introducing one-dimensional dimensioning and its limitations, “3D” geometric tolerancing (GPS), in accordance with ISO standards, is introduced to teach students how to read and then write geometric tolerances based on the functional requirements of a part within a mechanical system. The study of the hyperstaticity of the mechanism and its connections then enables the establishment of the functional conditions required to ensure the assembly and proper operation 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 inspections and verify their compliance with the established functional dimensions.

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This course is a core module in mechanical design technology. It enables students to apply the concepts of standard component sizing—covered primarily in the technology courses in the second year (Introduction to Mechanical Design) and third year (Structure and Sizing, Mechanical Design 1 and 2)—to existing mechanical systems. It also indirectly draws upon all other course units in rigid and deformable solid mechanics, which were primarily covered in L2 and L3.

The focus is on discovering and comparing real-world technological solutions—thereby enriching technological literacy—as well as on researching, critically evaluating, and performing preliminary sizing of technological solutions compatible with the system under study, based on specifications for partial (re)design. Finally, the implementation of the selected solution involves creating an accurate sketch—in the sense of an industrial drawing—both on paper and using CAD software, with complete dimensions for one of the mechanism’s parts.

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

Half of this module consists of lectures and tutorials focused on studying pulley-belt systems, clutches and brakes, and preloaded systems, with applications involving preloaded bearing assemblies. At the same time, the course includes lab sessions analyzing various mechanical systems (CVT transmissions, automatic transmissions, brakes, clutches, preloaded bearing assemblies, etc.), as well as design lab sessions to apply the skills acquired to specific case studies.

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Language lab courses designed to develop the five language skills;

Listening Comprehension & Speaking

Reading Comprehension & Writing

Oral Interaction

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• read a technical drawing of moderate difficulty
• identify standard mechanical components on a drawing
• Identify how a moderately complex mechanical system works based on a general diagram
• Draw a part from multiple views, following the rules of projection
• Identify and draw the intersections of a cylinder and a plane, two cylinders, a plane and a cone, and a cylinder and a cone
• draw cross-sectional views and sections
• Extract a part from a medium-difficulty assembly drawing
• use of the basic functions of SolidWorks software (Part, Assembly, and Drawing modes)

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Research and Development (R&D) is both the result of teamwork and individual talent, all in the service of innovation (applied research) and knowledge (basic research). The topics are diverse and varied, but a certain methodology is necessary to address any R&D challenge.

View the full page

The objective of this course is to model solid continuous media, focusing initially 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. To this end, the following concepts are introduced: tensors and tensor fields, tensor algebra and analysis, boundary value problems, the fundamental principle of statics, and the principle of virtual powers. Techniques for the analytical solution of classical problems and energy-based approaches will be covered. This course is fundamental to the education of students in mechanics, whether they are pursuing careers in design and engineering or in R&D.

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This project is initiated by a request from a client (project sponsor) who presents their needs to the students. It involves an application that places the student in the role of a service provider to meet the client’s needs or requests. This project aims to replicate the methods used in the business world.

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