EEA Profile

The main objective of this course is to teach you to pose and solve simple physics problems. The areas of application are material point mechanics and geometric optics.

Mechanics of the material point :

• Static of forces: studies of mechanical systems in equilibrium.
• Kinematics: study of the movement of bodies independently of the causes that generate them.
• Dynamics: links between the causes of movement and the movement itself.
• Work and energy: work of forces (conservative and non-conservative), kinetic energy theorem, mechanical energy theorem and their applications.

Geometric optics:

• Propagation of light (Fermat's principle, Snell-Descartes laws, index of refraction),
• Image formation and optical systems (stigmatism, Gaussian approximation, mirrors, thin lenses, dispersive systems, centered systems, optical instruments)

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This course is intended for L1 students who have chosen the PCSI path. It presents the rules of basic calculus which should allow you to better follow the most formal courses, to be able to do the TD, to be able to read and understand the books of the BU, etc. It complements the UE Mathematical Tools 1 and 2. This teaching is essentially based on the training of calculation through exercises. The reminders of the course are generally succinct and the emphasis is mainly put on the acquisition of certain automatisms intended to master, accelerate and fluidify the mathematical manipulations most commonly used in sciences (at the L1 level). The chapters covered are: elementary calculations and manipulations, trigonometry (in particular geometry), complex numbers, vectors and coordinate systems, elementary geometry, rudiments of polynomials, rudiments of statistics and probability.

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This UE is an introduction to the differential calculus of functions in several variables. It is intended for first year PCSI students and is an introduction to the mathematical tools used - among others - in thermodynamics.

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This UE is an introduction to analysis (functions of one real variable) for the first year students of the PCSI portal.

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