1. Review of DC and AC circuit analysis methods
- The Ohms's, Kirchhoff's laws
- Node-voltages and mesh-currents methods
- Thévenin-Norton and Maximum power theorems
2. Introduction to the three-phase systems
- Presentation of three-phase electrical systems: definition, properties, configurations and common representations.
- Presentation of balanced three-phase loads, relationships between load voltages and currents.
3. Power-calculations in the three-phase systems
- Calculation of active and reactive powers in the three-phase sources and loads
- Presentation of reactive power compensation in three phase electrical installations
- Presentation of unbalanced three-phase loads, phase to neutral and phase to phase voltages and neutral line current calculation
4. Transformers
- Presentation of the single-phase electrical transformers
- Modelization of the single-phase transformers
- Autotransformers
- Power calculations of the transformers
- Voltage regulation and efficiency calculations

- Main types of filters and filtering response: low pass filter, high pass filter, band pass filter, band rejection filter
- Study of oscillators
- Sensors: a short introduction and guide line for basic implementation
- Electronic functions and applications
- Study of the key functions of the NE555: monostable and astable configuration

1. Introduction
- Elements of vector analysis
- Scalar and vector fields
- Derivatives and integrals
- Cartesien, cylindirical and spherical coordinate systems.
2. Electrostatics
- Electrical force (Coulomb's law)
- Superposition principle, Curie's theorem
- Gauss's law used to express electric field in simple situations)
- Electric potential and work, conservative field
- Electrostatics in metals (emphasizing the study of capacitors)
3. Magnetostatics
- Magnets (historical background)
- Magnetic field (Biot-Savart law) due to a line, a loop.
- Ampère's circuital law (used to express magnetic field in simple situations)
- Magnetic force (Lorentz)
- Ampère's force law and magnetic torque. Their application to electrical machines.
- Faraday's law and Lenz's law. Their application to alternators.
- Introduction to Maxwell's equations

1. Introduction to embedded systems and C programming using Arduino Microcontroller
2. Introduction to Arduino programming : Basic sketches, digital hardware consideration, arrays, functions and pointers
3. Sensors and actuators (analogue and digital inputs and outputs)
4. Port Manipulation : Serial communication (simplex and duplex)
5. Timers, counters and interrupts

1 - Improper integrals
2 - Power series
3 - Vector space and linear map
4 - Pre-Hilbert space
5 - Systems of differential equations
6 - Orthogonal transformation - Linear isometry
7- Spectral theorem and SVD

Introduction to numerical simulations, mathematical formulations and computer programming.
Description of classical numerical methods (discretization, Bisection method, Newton's method, Euler's method, Gaussian elimination, curve fitting, numerical integration, numerical differentiation, finite elements)
Implementing appropriate numerical algorithm using Octave.
Numerical approximation and error estimation.
Graphical representation.

1. Introduction to Material Science and Engineering
• Classes of Materials
• Manufacturing Processes
2. Materials in Atomic Scale
• Atomic Structure and Bonding
• Different Crystalline Structures
• Atomic Arrangement
• Crystallographic Directions and Planes
3. Material Properties
• Elastic Moduli
• Bond Force
4. Failure
• Mechanisms of Failure: Fracture, Fatigue, Creep
• Ductile and Brittle Materials
5. Dislocations and Strengthening
• Dislocations and Plastic Deformation
• Mechanisms of Strengthening
6. Introduction to Phase Diagram
• Unary and Binary Phase Diagrams
• Phase Composition

Subject 1-study the translation and rotation. We also introduce the notion of Homogeneous transformations which combines the operations of rotation and translation into a single matrix multiplication.

Subject 2-Mathematical modeling of the aerodynamic equations and programming using Matlab is performed to calculate all the required forces and parameters.
Wind turbines are designed to generate the maximum power from the wind with keeping the cost of construction reasonable. In this work, we have developed a mathematical modeling and numerical simulation using Finite volume method to optimize the geometry of the blades and thereby extract the maximum power. Modeling was performed using the Blade Element Momentum Theory, numerical values and Aerodynamic equations were developed for geometry optimization
Applying conservation of angular momentum equations and using the blade element theory we derive the differential forces, torque, power, angles and the power coefficient. Then, we calculated the total thrust T, torque, Q, and power, P as the sum of the differential power from each of the spanwise segments.
All the geometrical blade parameters that maximize the power extracted from the wind was chosen for geometrical modeling and CFD simulations. These results were obtained as functions of different inputs like the speed ratio and the number of blades and many other geometrical parameters.
The obtained values that maximize the maximum power were used to design the geometry of the blade using CREO software.
The simulation results show the importance of numerical simulation to optimize the blades geometry and improve wind turbine performance

Subject 3 gears
3-• Principal of gearing
• (forces analysis)
• CREO modeling, assembly and simulation of different type of gears (Advanced level); spur gear, helical gear, bevel gear)

- Introductory concepts: Normal and shear stress, strain and deformation

- Stress state: stress tensor, stress transformation, Mohr's circle

- Strain state: strain tensor, relation between strain component and deformation, Mohr's cirlce

- Behavior of materials: constitutive equations, tensile test, linear elastic material properties: Young's modulus, shear modulus, Poisson's ratio

- Application: analysis of stresses in thin-walled pressure vessels

- Plane elasticity: plane stress and plane strain configurations, 3D Mohr's circle

- Yield criteria: yielding and plastic deformation in general configurations, Tresca and Von Mises criteria

Mechanical Design:
- using the CREO CAD software, create the parts starting from the real & sectioned prototype by measuring dimensions using adapted measurement tools (metrology)
- Create the subassemblies
- Create the final assembly using the necessary dynamic joints.
- Create the assembly drawing draft with nomenclature. Represent at least one section to allow the visualization of the mechanism.
- Represent in the assembly drawing two main necessary fittings and the functional conditions required in the mechanism.
- Using CREO mechanism: run the simulation using the calculated data

Electronics:
- Sensors characterization (reading and interpreting the specifications of mode of operation).
- Arduino Code development
- Prototyping
- Project demonstration with creation of a video

A format based on conferences given by non-profit organizations speakers and visits is planned.

Workshops are mixing three types of activities:
- A practical work or experiment related to the pathway
- Series of conferences or round tables with professionals
- Visits of industrial companies' sites

"Robotics & automation" workshop
The goal of the workshop is to build a robotic system called Polargraph: the system receives an image as input and draws its contour on a whiteboard as output.
First, the students study the mechanical structure of the system to define its specifications.
Second, they learn the basics of computer vision during a 4-hours session lab.
Third, they setup the system (electronic and mechanic) components, program the contour detection algorithm in Python, and the control algorithm on the Arduino board.
Finally, they test the limits of the system by manipulating several parameters (e.g. frame rate).
"Energy" workshop
i. Students will design the blades, and plan the performance: power vs. wind speed velocity. At this step, aerodynamics and optimization of the design are the two main bricks to focus on.
ii. then they will build the electric circuit, connect it to the DC generator and the Boost converter and verify and test the good operation of the circuit
iii. Students should finally, assemble all the parts (blades on axis, motor on support/tower)


"Mechanical engineering workshop
1- The students will design, using CREO, a mechanical crane that should be able to hold and transport an object in space. The model is sized based on the mechanical components given to the students at the beginning of the workshop (bearings, gears). The total weight of the crane and its volume should be minimized.

2- The CAD design of the crane arm will be then imported to the numerical simulation Ansys software where a FEM (Finite Element) analysis is performed to check the ability of the arm to withstand the maximum force acting upon it. A topology optimization is also performed and the design can be then improved accordingly

3- Finite element programming of the basic equations with the help of MATLAB language should be realized to study the deformation of the crane arm. The FEM results of the arm using Ansys software should be compared with the analytical solution of finite element method. Please refer to annex for details

4- Once the design is finalized, the final CAD model is 3D-printed using PLS or ABS materials.

5- The prototype is run by servo motor controlled by Arduino to control the speed and the direction of the arm.

6- A test is performed to assess the ability of the prototype to carry the weight.

This course is designed to give students a basic understanding of Macroeconomics that is necessary for entrepreneurship.

Students will have an overview of the history of management and contemporary theories. They will be able to understand, and discuss types of managers and the functions, strategic, international, and interpersonal challenges they face.