The French System of Higher Education: Grandes Ecoles
The French educational system in engineering is comparable to those in the rest of Continental Europe, but quite different from those in English-speaking countries. Engineering studies in Continental Europe produce two different profiles of engineering degrees: one with a short curriculum (three to four years long) based on an applied approach, and one with a long curriculum (five to six years long) based on a theoretical and conceptual approach. In contrast with the Bachelor/Master in which the shorter curriculum is commonly part of the longer one, the two curricula are different from the outset.
In France, the best students of an age class are attracted by engineering studies, and consequently the potential of the student audience differs from that of engineering departments in most other countries. Most engineering schools in France, called Grandes Ecoles d'Ingénieurs, are independent of universities and train top industrial and administrative managers.
Classes Préparatoires
The Classes Préparatoires correspond to two years of post high-school education with heavy emphasis on mathematics and physics. The first year of the Classes Préparatoires is termed Mathématiques Supérieures and corresponds to the freshman year at US universities. The second year is called Mathématiques Spéciales and corresponds to the sophomore year. At the end of the second year, students take the nation-wide competitive entrance examinations for the Grandes Ecoles, including Ecole Centrale Paris. Students generally take the examinations to more than one group of schools, and if they do not gain admission to the Grande Ecole of their choice, they are usually allowed to repeat Mathématiques Spéciales and attempt the examinations again. This is the case for approximately 50% of the students. Thus, all students who enter Ecole Centrale Paris have at least two years of advanced-level post-high school education.
The Process of Admission to Grandes Ecoles
Admission to the engineering schools in France is a very selective process: of the 800,000 young people of an age class, approximately 400,000 pass the Baccalauréat, the French secondary school final examination, each year. The best students normally take the Baccalauréat S (previously called the Baccalauréat C) in fundamental sciences, and of these 100,000 pass. Students who are awarded the Baccalauréat S with honors can go on to the Classes Préparatoires. After two years of university level study, 13,000 of them take the entrance examination to Ecole Centrale Paris. ECP admits 320 students a year from among the top 700 science students in France. Fifty additional students are taken from scientific universities in several European countries on an accredited transfer exchange scheme.
Curriculum of the Classes Préparatoires
There are five main streams of study over two years in the classes préparatoires which lead up to the nation-wide competitive entrance examinations:
i) Mathematics, Physics and Engineering Sciences (MP);
ii) Physics, Chemistry and Engineering Sciences (PC);
iii) Physics, Technology and Engineering Sciences (PSI);
iv) Technology and Industrial Sciences (TSI);
v) Technology, Physics and Chemistry (PT).
The curriculum of each of these streams is made up of a combination of most of the following subjects and sub-divisions with varying importance and weighting attached to each, depending on the stream. The weekly number of hours per subject over two years comprises coursework (c), class exercises and testing (t) and laboratory or practical work (p).
I. MATHEMATICS
6-10 hours per week (c), 2-3 hours per week (t)
Analysis and Differential Geometry
Real and complex numbers, sequences and functions:
Real numbers, real number sequences, functions of a real variable with real values, complex numbers
Differential and Integral Calculus:
Derivation of a real-value function; integration on a segment of real-value functions; integration and derivation; derivation and integration of complex-value functions; parametric curves on planes; classical functions; integration on an interval (open or semi open); differential equations
Functions of more than one real variable:
Continuous functions on R2 space; functions of more than one real variable with real values: differential calculus; functions of more than one real variable with real values; integral calculus
Differential Geometry:
Plane curves; vector fields on planes or in space
Algebra and Geometry
Numbers and algebraic structures:
Sets and applications; natural numbers and finite sets; usual algebraic structures; elementary arithmetic in Z (Gauss and Bézout theorems); Polynomials and rational fractions
Linear algebra and affine geometry:
Vector spaces of finite dimension; matrix calculus; real affine geometry; determinants
Euclidean vector spaces and Euclidean geometry:
Scalar products and Euclidean vector spaces; Euclidean geometry of plane and space
II. PHYSICS
3-5.5 hours per week (c), 1-2 hours per week (t) and 1-2 hours per week (p).
Thermodynamics:
Ideal gas; static fluids; thermodynamic systems; first law of thermodynamics; second law of thermodynamics; applications of laws of thermodynamics
Mechanics:
Newton's laws of motion
Application of Newton's laws of motion: (motion in a gravity field, motion in an electromagnetic field, linear oscillators, non-linear oscillators); Conservation laws; mechanics of a two-particle system
Electrokinetics:
General laws; elements of linear circuits; resistance-inductance-capacitance circuits; electric generators; Thévenin's and Norton's models; basic theories and modelling of linear circuits; working regimes
Electromagnetism:
Electrostatics (electrostatic field, electrostatic field flux, electrostatic dipole)
Magnetostatics (magnetostatic field, magnetostatic field flux, typical calculations of magnetostatic field, magnetic dipole)
Optics:
General laws; mirrors and thin lenses
III. CHEMISTRY
1-3 hours per week (c), 0.5 hours per week (t) and 1-2 hours per week (p).
Structure of Matter:
The atom and the periodic table; electronic structure of molecules; structure of condensed matter
Thermodynamics and Kinetics of Chemical Systems:
Application of first law of thermodynamics; equilibria and redox reactions; kinetics of chemical systems
IV. INDUSTRIAL SCIENCES
0.3-2 hours per week (c), 0.3-3.5 hours per week (t) and 0.7-2.5 hours per week (p).
Mechanics and Statics of Solids:
Kinetics of non-deformable solid bodies; kinetic and geometric modelling of mechanical joints; modelling of mechanical motion; isolation of a material system
Control Systems:
General considerations; continuous and invariant linear systems; fundamental principle of statistics; applications; combinatorial systems; sequential systems and the GRAFCET model
Systems:
General considerations; classification; automated systems
Technical drawing and industrial language
EITHER Engineering Sciences or Computer Science (see below):
V. ENGINEERING SCIENCES
1 hour per week (c) and 1 hour per week (t).
Mechanical and automated systems:
Activators (pneumatic, hydraulic, electrical and powered systems); sensors; power transmission units; programmable control systems
VI. COMPUTER SCIENCE
1 hour per week (c) and 1 hour per week (t).
Formal Calculation Software:
Software; computer language; control structures; functions
Programming Methods:
Iteration; recursive features; algorithms
Algorithms and Data Structure:
Lists and stacks; trees
Logic:
Propositional calculus; Boolean functions; elementary circuits
VII. FRENCH AND PHILOSOPHY
2 hours per week (c).
VIII. FOREIGN LANGUAGES
One or two foreign languages at 2 hours per week (c) per language.
IX. PHYSICAL EDUCATION AND SPORTS
2 hours per week.
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