Curriculum - Aerospace Engineering

Freshman Seminar is an upgrade course intended for Aero/Auto S1 students. This course should help learners develop the linguistic and study skills needed to be successful at their undergraduate studies where English is considered as a medium of instruction (EMI). Learners develop skills in reading academic texts, listening to academic lectures and other types of communication, writing clear academic papers and professional communication, participating effectively in class discussions, and making presentations.

This introductory calculus course covers differentiation and integration of functions of one variable, with applications. For Calculus I topics include review of some concepts studied in high school such as: numbers, absolute value, equations and inequality, trigonometric functions. Classical curves: circle, ellipse, parabola, hyperbola, Limits and Continuity. Differentiation Rules, Application to Graphing, Rates, Approximations, and Extremum Problems. Hospital’s rule. Taylor polynomial approximation. Anti-derivative and the resolution of some differential equation

Introduction and Fundamental Concepts of the language and tools of chemistry. Basic concepts of the structure, properties, interactions of matter and energy. Matter Atoms and Elements, Physical and chemical proprieties. Chemical Reactions and Stoichiometry. Atoms electronic structures, basic quantum mechanics concepts, the periodic system, chemical bonding, inter and intramolecular forces, stoichiometry. Laboratory methodology and basic risk assessment. Preparation for students taking more advanced courses in chemistry.

This course is designed to introduce students to contemporary American society through an exploration of the country’s history, politics, culture and civilization. Using the United States Constitution as a starting point, students will examine the fundamental and historical principles on which the U.S. was founded, and then explore the application of these concepts in contemporary American society. This course focuses on the different aspects of French civilization (history, economy, traditions, symbols…) and their impact on the world in general, and Morocco in particular. It also stresses the importance of knowing the other's culture for the promotion of economic relations.

The course is an introduction to the field of Positive Psychology. “It is the study of how human beings prosper in the face of adversity. Its goal is to identify and enhance the human strengths and virtues that make life worth living and allow individuals and communities to thrive” (Seligman & Csikszentmihalyi, 2000). The course focuses on conceptual explorations, practical experiments, and self-reflections on the important social issue, that is well-being.

The course includes both lectures and workshops. Emphasis is placed on classroom activities, for the students to apply strategies and theories in their personal lives.

This course is structured to teach general skills of computer science, and gradually introduce practical methods of solving problems by programming functions or using built-in functions in MATLAB.

Applied knowledge of basic topics related to mechanics, Motion in one and two dimensions, Newton’s laws of motion and their applications, work and energy, linear momentum and collisions, rotational motion, and principles of conservation.

The general aim is to provide opportunities for guided and free practice for the students to enhance their writing and reading sub-skills. The course is administered in terms of three major components: the first one is centered round the rhetorical effectiveness of the students writing, the second focuses on advanced reading skills, and the last provides practice on language issues and mechanics.

This course begins with antiderivatives and further techniques of integration. Topics include Riemann sums, definite integrals, fundamental theorem of calculus, integration by substitution, integration by parts, trigonometric integrals, trigonometric substitution, partial fractions decomposition, and improper integrals. Applications include calculation of area, length of an arc, volumes using just a simple definite integral, work, area od some surface obtained by revolving a curve about an axe and numerical integration. This course concludes with elementary aspects of multivariable functions.

Chemical Bonding, Molecular Structure, Quantum mechanics concepts, Molecular Orbital Energy Level Diagrams, Kinetic-Molecular Theory, Chemical Thermodynamics, Acid-Base Theories, Oxidation-Reduction, coordination chemistry, Electrochemistry, Chemical Equilibria including the Buffer Systems. Laboratory Methodology.

This course consists of two main parts, Algorithmics and C programming language. The first section introduces students to algorithmics, the importance of algorithms, and some techniques used to design them. Writing algorithms to solve real life problems and computational problems is included. Regarding the second section, this course introduces students first to the basics of C programming, its importance and wide applications’ portfolio, Advanced features.

This course is designed to provide students with the necessary tools to develop critical thinking, ethical decision-making, and soft skills that are essential for success in the aerospace and automotive engineering industries. Through a combination of lectures, class discussions, pre-recorded videos with Sorbonne University professors, presentations, and hands-on activities, students will practice how to apply communicate effectively, reflect critically on important ethical questions, and develop their citizenship through hands-on- projects.

Engineering Mechanics. Two hours lecture. Introduction. External and Internal loads and moment types. Load types.Homogeneous/ Inhomogeneous, Cross/ Prismatic section area. Equilibrium in two dimensions, System study and Free-Body Diagram. Force system representation, fundamental concepts. Equilibrium Conditions. Distributed forces Centers of mass of lines, areas, and volumes. First and second moment of inertia. Friction. Stresses and strain types.

Basic Training in the use of Computer Aided Drawing (CAD) including entity creation, editing, dimensioning, file management. A "hands on" approach will be taken while using PC-based CATIA V 5 software. Applications will be taken from a Mechanical Field.

The course is an introduction to electricity and magnetism. The laboratory emphasizes on the concepts of Induction, Magnetic field generation through solenoid and Helmholtz coils and simple electrical circuits

Introduction, systems conversion and arithmetic operations, basic logic gates, Boolean operations, and Morgan theorems, Analyze and design of digital problems, logic design, multiplexers, demultiplexer and decoder Integrated circuits devices, encoder, logic functions, Sequential circuits, JK flip-flop, D flip-flop devices, Synchronous and asynchronous counter, register, shift registers, multivibrator and 555 timers.

Topics include simultaneous linear equations, solving systems of linear equations using Gaussian elimination, augmented matrices matrices and determinants, vector spaces and linear transformations, eigenvalue problems and eigenvectors, and matrix inversion.

 This course discusses a variety of topics used in many areas in mathematics such as differential equations and the next course in the calculus sequence. The discussion is extended to infinite sequences, series and power series, parametric equations, polar equations, vectors and the geometric meaning of them, some geometry of 3-dimensional space, dot product, orthogonality, projection, cross product, various equations for lines and planes, distance from a given point to a line and plane and finally vector valued functions and how to compute length of a given curve.

This course will provide students with a thorough foundation in theory, research, and skills of communication.

The concept of dynamic analysis of particle, kinematics, and kinetics of particle (Newton’s law, Angular momentum, energy conservation, impulse, and momentum) ending with the mechanics of rigid bodies.

This course provides a comprehensive introduction to the fundamental concepts of thermodynamic engineering such as work, heat, temperature, and the properties of pure substances. The application of the 1st and 2nd laws of thermodynamics to practical engineering devices will be also covered.

General Introduction, Definition of various types of differential equations, First order ODEs solution, Second order ODEs solution, Applications of ODEs, Computational methods.

Three-Dimensional Coordinate System - Equations of Lines, Equations of Planes, Quadratic Surfaces, Functions of Multiple Variables, Vector Functions, Limits, Derivatives, and Integrals of Vector Functions, Tangent Vectors, Normal Vectors, Binormal Vectors, Curvature, Cylindrical Coordinates, Spherical Coordinates, Partial Derivatives - Limits, Higher Order Partial Derivatives, Differentials, Chain Rule, Directional Derivatives, Gradient. Applications of Partial Derivatives - Tangent Plane, Normal Line, Relative Extrema, Absolute Extrema, Optimization, Lagrange Multipliers. Multiple Integrals - Iterated Integrals, Double Integrals, Double Integrals in Polar Coordinates, Triple Integrals, Triple Integrals in Cylindrical Coordinates, Triple Integrals in Spherical Coordinates, Change of Variables, Surface Area. Line Integrals - Vector Fields, Line Integrals with Respect to Arc Length, Line Integrals with Respect to x and y, Line Integrals of Vector Fields, Fundamental Theorem of Line Integrals, Conservative Vector Fields Potential Functions, Green's Theorem, Curl, Divergence. Surface Integrals - Parametric Surfaces, Surface Integrals, Surface Integrals of Vector Fields, Stokes' Theorem, Divergence Theorem.

This is a course in the study of Industrial and Project Management. The course will describe different types of industries and introduce the manufacturing and processes of production. It will introduce the globally recognized standard and guide for the project management profession, it introduces the key concepts in the management field, and provides an overview of process interactions among the key knowledge areas and process groups.

This course is designed to equip students with tools necessary to communicate in a professional context. It focuses on technical communication, both oral and written. Oral communication emphasizes the presentation of specialized information to a variety of different audiences in a clear, accurate and professional way. Written communication focuses on the process of writing (including, prewriting, drafting, revising, and editing stages). It also walks students through all the work that would result in a final refined product. The course will also familiarize them with technical documents and how to compose them as a requirement of academic and professional careers.

Introduction and Basic Concepts, Properties of Fluids, Pressure and Fluid Statics, Fluid Kinematics, Mass, Bernoulli, and Energy Equations, Momentum Analysis of Flow Systems, Dimension Analysis, Flow in Pipes, Differential Analysis of Fluid Flow.

Thermodynamics fundamental concepts–Energy analysis and conversion in open and closed systems -–Vapor and combined power cycles -Gas power cycles– Refrigeration cycles - Mixture of ideal gases–Psychometrics–Air-conditioning –Combustion.

General review of Matrix Algebra, Square matrix inversion techniques, linear system resolution, Methods of solving linear system of equations, Roots of nonlinear equations, Ordinary differential equations, Eigenvalues and Eigenvectors, Nonlinear differential equations, Partial differential equations, Finite difference methods.

 This course aims to introduce the students to the Aerospace field basic concepts. The course is mainly designed for undergraduate and more precisely junior students. This course is cohort-based, which means that there is an established start and end date, and that you will interact with other students throughout the course. We will have two groups for lectures one that will study online and the other in class.

Introductions, German/Spanish in the World, sounds of German/Spanish greetings, common phrases, noun phrases, adjective placement, pronouns, conjugating verbs, practicing with verbs, vocabulary Building, sentence building, direct object pronouns.

This course will introduce students to electric circuit elements and electronic devices and a study of circuits containing such devices.

Basic principles of heat transfer and their applications to real life problems with emphasis on engineering applications. Subject areas include 1D Steady and transient heat conduction, internal and external forced and free convection, boiling and condensation and radiation.

This course deals with the physical, chemical, and mechanical properties of common engineering materials. Engineering materials in physical systems are subject to mechanical, thermal, electrical, and chemical stress. The choice of appropriate materials for a specific engineering application is critical to realize the most reliable engineering system. This course covers materials’ properties such as atomic structure, mechanical, thermal, and electric properties. The materials covered are composite, metallic, ceramic, and semiconducting materials. Nanomaterials will also be introduced, and a survey of the latest technologies will be outlined. Topics regarding corrosion, reliability, material failure, and material testing will be covered.

In class case studies and discussion regarding different Economic topics. A topic is selected then discussed using examples and material learned in class. Videos about specific economic subjects are also shown as learning materials.

This subject leads to the comprehensive introduction to the fundamentals of measuring technics concerning each utilization, in addition the uncertainty analysis is highlighted. The equation studied in the course must be used and compared to the experimental levels.

Two-Dimensional Inviscid Fluid Flow, Stream Function and Velocity Potential, Superposition of Elementary Flows, Thin airfoil theory, Finite Wings. Incompressible Boundary Layer.

Structures analysis. Two hours lecture. Structural analysis/design process, structural forms, and basic structural elements. Analysis of statically determinate structures including beams, trusses, frames, shear, and moment diagrams. Methods to compute deflections include double integration, moment area, and virtual work, stiffness matrix and energy methods. Methods of analysis for statically indeterminate structures include consistent deformation, slope deflection and moment distribution. Use of structural analysis programs.

Introductions, German/Spanish in the World, sounds of German/ Spanish greetings, common phrases, noun phrases, adjective placement, pronouns, conjugating verbs, practicing with verbs, vocabulary Building, sentence building, direct object pronouns.

An introduction to the modeling, analysis, and control of dynamic systems. The course takes the student from initial modeling through analysis of the system response and finally into the control of the system. Specific systems include mechanical devices, electrical circuits, and electromechanical systems.

Machine design. Two hours lecture. Applied stress analysis and material strength theories for sizing and selecting machine elements. Selection of shafts, bolts, gears and rolling contact bearings

Introductions, German/Spanish in the World, sounds of German/Spanish greetings, common phrases, noun phrases, adjective placement, pronouns, conjugating verbs, practicing with verbs, vocabulary Building, sentence building, direct object pronouns.

 This course is a continuation of the Engineering labs series with practical measurement problems in Thermal Fluid area.

Emphasis upon internal combustion engines based on Otto, Diesel, and Dual cycles. Application of thermodynamics, heat transfer, fluid mechanics, combustion, thermochemistry in the determination of performance characteristics of various combustion engines in case of ideal and actual cycles. Analysis of the various losses. Knowledge of design, modelling, testing and environmental impact.

Aircraft performance in steady flight. Straight and level flight. Flight limitations. Drag, power, and performance curves in terms of thrust and power. Gliding flight. Range and endurance. Climbing flight. Aircraft performance in accelerated flight. Takeoff and landing. Turning flight.

Ce cours commence par une introduction aux systèmes embarqués. Cela est suivi par une série de travaux pratiques intéressants qui permettent aux étudiants d'acquérir une expérience pratique en travaillant sur le microcontrôleur Arduino Uno R3 et divers dispositifs électroniques. Au cours de ce cours, les étudiants apprennent et acquièrent des compétences en logiciel et en matériel et réalisent des projets.

Mechanical systems design. Two hours lecture and a supervised design project to apply design process methodology from understanding customer needs to final prototype.

Basic definitions; Motions; Coordinate systems; Degree of freedom. Four-bar linkage; Slider crank mechanism; Scotch yoke; Quick-return mechanism; Toggle mechanism; Straight line mechanisms; Parallel mechanisms; Intermittent motion mechanisms; Steering gear mechanisms. Basics of Velocity, Acceleration, Velocity analysis by Instantaneous centre method, Relative Velocity Method Four bar Mechanism, Slider crank mechanism, Toggle Mechanism, Classification of followers; Classifications of cams; Graphical design of cams curves; Nomenclature; Displacement diagram; Types of follower motions; Analytical cam design; Tangent cam with reciprocating roller follower.

This course teaches students the use of the VHDL language for design and synthesis of digital circuits that present an advanced introduction to automotive, and aeronautics embedded systems. Then, it covers all classes of digital circuits, which consist of combinational logic circuits, sequential circuits, and finite state machines. principles of Basic communication theory; Basic coding theory; Analog and digital communications; Digital communication links Communication systems and wireless systems, the radio propagation issues, channel coding, spread spectrum, and multiple access techniques.

Introduction, static stability, aircraft equations of motion, longitudinal motion, lateral motion, flying qualities, introduction to control theory, aircraft autopilot design using classical control theory.

An introduction to statistics and the tool of quality is necessary to help solve quality problems. Entrepreneurship is a manageable process that can be applied in virtually any organizational setting. Moreover, our interest is in sustainable entrepreneurship, in entrepreneurship over the life cycles of people’s careers, of organizations as they evolve from start-up enterprises to sizeable corporations, and of societies as they move from undeveloped to post-industrial. However, the focus will be on the creation of new ventures, the ways that they come into being, and factors associated with their success.

Free vibration of undamped single DOF systems (translational and torsional systems), Free vibration of viscously damped SDOF systems (translational and torsional systems), Free vibration of damped SDOF systems with Coulomb damping (dry friction). Harmonically excited SDOF systems: response without and with damping. 2DOF systems: Equation of motion for free and forced vibration. 2DOF torsional systems. Multi-DOF systems. Use Newton’s equation, Energy and also Lagrange’s equations to derive the equations of motion. Continuous systems. Transverse vibration of a string. Torsional Vibration of a Shaft. Longitudinal vibration of a Rod. Lateral Vibration of Beams. Natural frequencies and mode shapes of a thin plate using finite elements.

Introduction to Fluid Mechanics, Finite Difference Methods, Explicit and Implicit Iteration Methods, Stability, Grid Generation, Introduction to Finite Volume Method, Introduction to commercial codes, Cases Study using commercial CFD package.

Basic characteristics of Turbulence, Reynolds Averaging, Kinetic Energy and Scaling issue, Homogeneity, and Isotropy, Free and Wall bounded Shear Flows, Turbulent Boundary Layer, Simulation and Modeling.

General introduction to acoustics: Definitions of Intensity level, pressure level, power level, Decibels. Sound generation, propagation, and perception. Sound reflection, transmission, absorption, refraction, diffraction, and scattering. Derivation of the Acoustic Wave Equation in 1D, 2D and 3D.Introduction to Vibro-acoustics (Fluid-Structure interaction) Plane waves vs spherical waves. Acoustic sources: Monopoles, Dipoles, …Introduction to Aeroacoustics: Lighthill’s Analogy. Aerodynamic Noise generation. Sound vs pseudosound. Helmholtz resonators. Green’s function and solution of the wave equation. Computational methods in acoustics, in vibroacoustic and in aeroacoustics.

The objective of this course is to introduce the students to the essential knowledge and skills they need to be able to do conceptual and preliminary design of various flight control systems. The course begins with some introductory background about the stability of the aircraft and its equations of motion, their linearization and the computation of stability derivatives, A short review of controller design techniques both in frequency and time domain is made. The linearization of flight vehicle dynamics in the form of transfer functions is addressed. Flight actuators and sensors are introduced including their mathematical modeling. Aircraft control system design is explained and finally introduction to the modern control theory and its application to aircraft control system design is introduced.

The student acquires information required to understand the behavior of all rocket engines (both liquid and solid). This is done starting from the analysis of the propulsion requirements needed for each mission, then approaching the general design of rocket engines.

Introduction to Non-destructive Testing, Liquid penetrants, Magnetic particle inspection, Radiography, Ultrasonic testing, Eddy current, Specialized NDT methods (sonics; infrared/thermal; acoustic emission, microwave; optical holography; acoustic holography; Vibration analysis method), Non-destructive testing standards and specifications.

The purpose of this course in Satellite Engineering is to provide the student with an introduction to the satellite working environment and its engineering aspect. The topics that will be covered include, introduction to space, space exploration and the space business, space environments, fundamental of orbital mechanics, launching systems, satellites systems engineering, satellite subsystems (power, attitude control, thermal control, on board processing, payloads, software and autonomy, ground system, budget, and costs).

A 5-year internship duration between 4-6 months where the student spends the PFE period in an industrial facility or research environment departments. The main objectives of internship are summarized as: Develop the ability to adapt to a new environment. Develop a work ethic skill. Analyze real-life problems with industrial constraints. Enhance problems solutions skills, develop, implement, and execute action plan. To be familiar with new tools and technical environments, enhance results analysis skills and draw relevant conclusions, improve technical report writing skill, Prepare and deliver professional technical presentation.