L1 PHYSICS CHEMISTRY ENGINEERING SCIENCES PORTAL (PCSI)

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

See full page

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.

See full page

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.

See full page

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)

See full page

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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)

See full page

See full page

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.

See full page

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.

See full page

See full page

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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This module focuses on an approach to experimental techniques in chemistry. A first part will be devoted to the presentation of the rules of hygiene and safety in the chemistry laboratory. Each lab session will be preceded by a preparatory lab session. At the end of each lab session, the student will have to write a laboratory notebook/report (analysis, exploitation of results...).

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- Definition of an acid-base reaction.

- Acidity constant.

- Predominance diagram.

- Common examples of acids and bases: name, formula and nature - weak or strong - of sulfuric, nitric, hydrochloric, phosphoric, acetic acids, soda, potash, hydrogen carbonate ion, ammonia.

- Buffer solutions.

- Temporal evolution of a chemical system and reaction mechanisms in a closed reactor of uniform composition. Rates of disappearance of a reactant and formation of a product. Rate of reaction for a transformation modeled by a single chemical reaction.

- Speed laws: reactions without order, reactions with simple order (0, 1, 2), global order, order

apparent.

- Half-reaction time. Half-life of a radioactive nuclide. Documentary approach: using documents on radionuclides, address, for example, the problems related to their use, storage or reprocessing.

- Empirical Arrhenius law; activation energy.

- Reaction mechanisms. Elementary acts, molecularity, reaction intermediate, transition state. Kinetically determining step, quasi-steady state approximation (QSSA).

Numerical approach: use the results of a numerical method to highlight the approximations of the kinetically determining step or the quasi-stationary state.

See full page

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)

See full page

See full page

See full page

See full page

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

See full page

See full page

See full page

See full page

See full page

See full page

See full page

See full page

See full page

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See full page

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See full page

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See full page

This module focuses on an approach to experimental techniques in chemistry. A first part will be devoted to the presentation of the rules of hygiene and safety in the chemistry laboratory. Each lab session will be preceded by a preparatory lab session. At the end of each lab session, the student will have to write a laboratory notebook/report (analysis, exploitation of results...).

See full page

- Definition of an acid-base reaction.

- Acidity constant.

- Predominance diagram.

- Common examples of acids and bases: name, formula and nature - weak or strong - of sulfuric, nitric, hydrochloric, phosphoric, acetic acids, soda, potash, hydrogen carbonate ion, ammonia.

- Buffer solutions.

- Temporal evolution of a chemical system and reaction mechanisms in a closed reactor of uniform composition. Rates of disappearance of a reactant and formation of a product. Rate of reaction for a transformation modeled by a single chemical reaction.

- Speed laws: reactions without order, reactions with simple order (0, 1, 2), global order, order

apparent.

- Half-reaction time. Half-life of a radioactive nuclide. Documentary approach: using documents on radionuclides, address, for example, the problems related to their use, storage or reprocessing.

- Empirical Arrhenius law; activation energy.

- Reaction mechanisms. Elementary acts, molecularity, reaction intermediate, transition state. Kinetically determining step, quasi-steady state approximation (QSSA).

Numerical approach: use the results of a numerical method to highlight the approximations of the kinetically determining step or the quasi-stationary state.

See full page

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)

See full page

See full page

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.

See full page

See full page

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

See full page

See full page

See full page

See full page

See full page

See full page

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See full page

This module focuses on an approach to experimental techniques in chemistry. A first part will be devoted to the presentation of the rules of hygiene and safety in the chemistry laboratory. Each lab session will be preceded by a preparatory lab session. At the end of each lab session, the student will have to write a laboratory notebook/report (analysis, exploitation of results...).

See full page

- Definition of an acid-base reaction.

- Acidity constant.

- Predominance diagram.

- Common examples of acids and bases: name, formula and nature - weak or strong - of sulfuric, nitric, hydrochloric, phosphoric, acetic acids, soda, potash, hydrogen carbonate ion, ammonia.

- Buffer solutions.

- Temporal evolution of a chemical system and reaction mechanisms in a closed reactor of uniform composition. Rates of disappearance of a reactant and formation of a product. Rate of reaction for a transformation modeled by a single chemical reaction.

- Speed laws: reactions without order, reactions with simple order (0, 1, 2), global order, order

apparent.

- Half-reaction time. Half-life of a radioactive nuclide. Documentary approach: using documents on radionuclides, address, for example, the problems related to their use, storage or reprocessing.

- Empirical Arrhenius law; activation energy.

- Reaction mechanisms. Elementary acts, molecularity, reaction intermediate, transition state. Kinetically determining step, quasi-steady state approximation (QSSA).

Numerical approach: use the results of a numerical method to highlight the approximations of the kinetically determining step or the quasi-stationary state.

See full page

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

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This course is designed to make first-year students aware of the issues surrounding the use, exploitation and management of the Earth's natural resources.

By way of introduction, an overview identifying the different types of these resources (energy, mineral, water) and the major associated issues (economic and environmental) will be presented.

Different types of resources will then be presented in three stages:

- The notion of mineral resources will be explored in depth by presenting the itinerary of chemical elements, from their creation in the Universe to their storage in the minerals that make up rocks and their use in the technologies employed in everyday life. This aspect will allow the introduction of basic notions in solid state chemistry and mineralogy, illustrated by mineralogy tutorials and practical exercises.

- The problem and the functioning of geological reservoirs trapping natural resources will be addressed by focusing on conventional energy resources (hydrocarbons) and future resources (underground storage of resources, geothermal energy).

- Finally, the major issues related to water resources in the world will be studied in depth. The global cycle of water on Earth will be presented and the essential notions allowing to understand the current major issues will be identified (definitions of an aquifer and a hydrosystem and the main types encountered, chemical interactions between water and rocks and illustration of processes centered on the chemistry of mineral and thermal waters).

Hourly volumes:

CM :18

TD :12

TP :6

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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.

See full page

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.

See full page

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.

See full page

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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After some reminders of classical mechanics we will approach the fundamental quantities of thermodynamics: elementary work, macroscopic...
The distinction heat/temperature will be exposed at length.
The notion of pressure will be exposed macroscopically while giving however the microscopic interpretation.
Then with a historical approach we will show how the principles 1 and 2 could have been stated

From there applications will be seen: cycles, perfect/real gas....

Thanks to the introduction of changes of state, examples (critical point) will be exposed.
We will finish with thermics: essentially diffusion. Depending on the remaining time notions about radiation will be exposed.

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This module is an introduction to the use of Python for students in the sciences. It will cover notions of algorithmics and the Python language, but the approach is primarily oriented towards a usefulness in Science. The examples will be based on problems related to the other first year subjects.

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This course in Solid Mechanics studies articulated systems made up of rigid solids through their movements and equilibrium positions. The concepts covered are velocity fields in solids, the classification of links and forces. Methods of kinematics and statics are also used.

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This course is intended for first year PCSI students. It is an introduction to linear algebra as well as to the solution of linear differential systems (matrix calculus, solution of linear systems, eigenvalues and diagonalization, solution of linear differential systems).

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This course introduces the basic concepts of Newtonian Dynamics by completing the notions on the dynamics of the material point seen in the General Physics course and by extending them to non-inertial reference frames, to the theory of collisions and to systems with variable mass. The basic notions of hydrostatics and perfect fluid dynamics will also be covered.

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This is a transversal practical work unit intended for students majoring in physics, mechanics or EEA in the L1 PCSI portal. These practical works will allow students to acquire fundamental notions from the 3 disciplines (physics, mechanics, EEA), which are essential for the continuation of studies in the chosen speciality or in view of a gateway between the other disciplines.

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Organic chemistry is a branch of chemistry that deals with the study of the structure, properties, composition, reactions and synthesis of natural or synthetic organic compounds that, by definition, contain carbon. This course provides an introduction to organic chemistry and lays the foundation for the basic concepts necessary for students pursuing scientific careers, particularly in chemistry, biology, biochemistry and health studies.

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After some reminders of classical mechanics we will approach the fundamental quantities of thermodynamics: elementary work, macroscopic...
The distinction heat/temperature will be exposed at length.
The notion of pressure will be exposed macroscopically while giving however the microscopic interpretation.
Then with a historical approach we will show how the principles 1 and 2 could have been stated

From there applications will be seen: cycles, perfect/real gas....

Thanks to the introduction of changes of state, examples (critical point) will be exposed.
We will finish with thermics: essentially diffusion. Depending on the remaining time notions about radiation will be exposed.

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This course in Solid Mechanics studies articulated systems made up of rigid solids through their movements and equilibrium positions. The concepts covered are velocity fields in solids, the classification of links and forces. Methods of kinematics and statics are also used.

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