Licence 1 CPES Modeling and Numerics in the Sciences of Matter

Atomistics: Periodic table, Lewis models and VSEPR
# Electronic Configuration
# Periodic table
# Description of molecular chemical entities: Lewis and VSEPR

Introduction to Organic Chemistry and Basic Reaction Mechanisms
# BOM
# Stereochemistry
# Basics of Reactivity in Organic Chemistry
# Aliphatic nucleophilic substitutions
# β-eliminations
# Electrophilic addition on alkenes
# Nucleophilic addition on the example of organomagnesium

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Program of the first year of mathematics at the Lycée Joffre

# Reasoning and set vocabulary

# Complements of algebraic calculus, elementary analysis and geometry

# Enumeration

# Real analysis: numerical sequences, limits and continuity, differentiability, calculus of primitives and integrals.

# Complex numbers

# Differential equations

# Linear algebra: vectors, linear maps and matrices, bases and dimension,

# Asymptotic analysis

# Basics of statistics

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The program below covers the two physics courses of the first year of CPES at the Lycée Joffre

Geometric Optics

# Laws of geometric optics
- Light: source models and spectra.
- Descartes' laws, plane diopter

# Lenses
- Spherical diopter, spherical mirror - Spherical lenses, thin
- Conjugation relations

# Optical Instruments
- Eye and corrective glasses
- Astronomical or Galileo telescope
-Microscope

Mechanics of the point, vibrations

# Point kinematics
- Coordinate systems
- Position, speed, acceleration
- Classical movements (constant acceleration, circular)
- Chronophotography

# Laws of Dynamics

# Energy approach

# Oscillators

Electrostatic, Magnetostatic

# Electric Charge, Electric Field

# Electrostatic potential, potential energy

# Gauss's theorem: statement and examples

# Current Element, Magnetostatic Field

# Circulation and flux of the magnetic field

# Electrostatic Dipoles

# Motion of a charged particle in an electrostatic or magnetostatic field

Electrokinetics

# Current and voltage, load and current densities, conservation law. Laws of meshes and knots

# Simple dipoles and models.

# RC, RL, RLC circuits, filtering.

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This modern language teaching is based on the written and oral practice of English, with particular emphasis on the scientific or socio-economic context.

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The first-year program is as follows:

# Introduction to the problems of the contemporary world

# Introduction to economics Introduction to geopolitics

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The program below covers the two first-year computer science courses at the Lycée Joffre:

Algorithmics and Programming 1: Basic Concepts in Algorithmics and Programming:
• Notion of problem, problem instance, complexity, termination, proof of validity
• Algorithms and iterative processing
• Proof: validity, termination, complexity
• Linear structures: arrays, linked lists, stacks, queues
• Sorting: inserting, selecting, merging sorting, other sorting examples
• Introduction to recursive processing (dichotomous search, etc.)
• Python programming

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Use of computer systems: introduction to the main concepts of computer systems:
- Practical mastery of a Linux environment
- Knowledge of the main Linux commands
- Understanding of documentation pages (man)
- Sessions, files, directories, access rights
- Programs, processes, commands and command languages
- Console (terminal) vs. graphical execution mode
- Familiarization with shells, writing a few scripts

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Introduction to digital analysis 

# Basics, issues and limitations, representation of numbers in a machine

# Analytical add-ons for numerical analysis

# Numerical solution of nonlinear equations

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Teaching takes place in the form of projects, carried out by pairs of students, supplemented as they go along by digital sessions allowing students to practice the ideas of physics and chemistry on a computer.

Depending on the needs, a few more traditional course sessions are planned to complete the students' training

Indicative programme:

1. Preliminaries: visualization of scalar and vector fields: gradient, divergence, rotational, Laplacian, contour lines, surface and volume integrals, numerical solutions of point mechanics problems

2. Tutored projects offered to students: these provide for the acquisition, processing and interpretation of data.  The general theme we have chosen is to train students capable of understanding the ideas of "statistical field theory", i.e. the concept of probability applied to functions. This theme is omnipresent in modern science: image processing and analysis, AI, statistical physics, dynamical systems and stochastic processes, sequencing, epidemiology, economics, observational cosmology, etc., and the conjunction of an approach combining numerical methods, mathematical ideas and modeling seems to emerge naturally (examples of projects, a purely indicative list: sand grain statistics, Poisson and Gauss's law, link with Beer Lambert's law via the concept of stopping cross-section; observation data in cosmology: matter/radiation distribution at the scale of the universe; statistics and epidemiological dynamics; microscopy and analysis of Brownian motion; etc.)

3. Chemistry supplements: Slater's effective theory for atoms (effective shield potential), molecular orbitals, fragment approach

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General culture (epistemology and philosophy):

# history of ideas

# Epistemology of science and digital technology

#argumentatition and communication

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The program below covers the two physics courses of the first year of CPES at the Lycée Joffre

Geometric Optics

# Laws of geometric optics
- Light: source models and spectra.
- Descartes' laws, plane diopter

# Lenses
- Spherical diopter, spherical mirror - Spherical lenses, thin
- Conjugation relations

# Optical Instruments
- Eye and corrective glasses
- Astronomical or Galileo telescope
-Microscope

Mechanics of the point, vibrations

# Point kinematics
- Coordinate systems
- Position, speed, acceleration
- Classical movements (constant acceleration, circular)
- Chronophotography

# Laws of Dynamics

# Energy approach

# Oscillators

Electrostatic, Magnetostatic

# Electric Charge, Electric Field

# Electrostatic potential, potential energy

# Gauss's theorem: statement and examples

# Current Element, Magnetostatic Field

# Circulation and flux of the magnetic field

# Electrostatic Dipoles

# Motion of a charged particle in an electrostatic or magnetostatic field

Electrokinetics

# Current and voltage, load and current densities, conservation law. Laws of meshes and knots

# Simple dipoles and models.

# RC, RL, RLC circuits, filtering.

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Synthetic program:

– Probabilistic vocabulary

– Random variables and probability distributions

– Expectation and variance

–Applications

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Thermodynamics
# Basics: state functions, thermodynamic equilibrium, state changes
# Kinetic theory of gases
# First Principle
# Thermochemistry
# Second principle
# Thermal machines (simple).

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The first-year program is as follows:

# Introduction to the problems of the contemporary world

# Introduction to Economics

# Introduction to geopolitics

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This teaching is an introduction to the research process: it includes an immersion in a research laboratory (meeting with researchers, discovery of research projects) and a bibliographic study with the aim of providing students with their understanding of the research approach, the objectives and the expected and hoped results of a project.

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Program of the first year of mathematics at the Lycée Joffre

# Reasoning and set vocabulary

# Complements of algebraic calculus, elementary analysis and geometry

# Enumeration

# Real analysis: numerical sequences, limits and continuity, differentiability, calculus of primitives and integrals.

# Complex numbers

# Differential equations

# Linear algebra: vectors, linear maps and matrices, bases and dimension,

# Asymptotic analysis

# Basics of statistics

See full page

Teaching takes place in the form of projects, carried out by pairs of students, supplemented as they go along by digital sessions allowing students to practice the ideas of physics and chemistry on a computer.

Depending on the needs, a few more traditional course sessions are planned to complete the students' training

Indicative programme:

1. Preliminaries: visualization of scalar and vector fields: gradient, divergence, rotational, Laplacian, contour lines, surface and volume integrals, numerical solutions of point mechanics problems

2. Tutored projects offered to students: these provide for the acquisition, processing and interpretation of data.  The general theme we have chosen is to train students capable of understanding the ideas of "statistical field theory", i.e. the concept of probability applied to functions. This theme is omnipresent in modern science: image processing and analysis, AI, statistical physics, dynamical systems and stochastic processes, sequencing, epidemiology, economics, observational cosmology, etc., and the conjunction of an approach combining numerical methods, mathematical ideas and modeling seems to emerge naturally (examples of projects, a purely indicative list: sand grain statistics, Poisson and Gauss's law, link with Beer Lambert's law via the concept of stopping cross-section; observation data in cosmology: matter/radiation distribution at the scale of the universe; statistics and epidemiological dynamics; microscopy and analysis of Brownian motion; etc.)

3. Chemistry supplements: Slater's effective theory for atoms (effective shield potential), molecular orbitals, fragment approach

See full page

The program below covers the two first-year computer science courses at the Lycée Joffre:

Algorithmics and Programming 1: Basic Concepts in Algorithmics and Programming:
• Notion of problem, problem instance, complexity, termination, proof of validity
• Algorithms and iterative processing
• Proof: validity, termination, complexity
• Linear structures: arrays, linked lists, stacks, queues
• Sorting: inserting, selecting, merging sorting, other sorting examples
• Introduction to recursive processing (dichotomous search, etc.)
• Python programming

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VBA Programming in Excel Development of VBA Macros in Excel:

# Practice macros in Excel

# Application of the basics of the VBA language in Excel

# Debugging VBA macros in Excel

# Writing custom functions

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General culture (epistemology and philosophy):

# history of ideas

# Epistemology of science and digital technology

#argumentatition and communication

See full page

This modern language teaching is focused on the written and oral practice of English, with a particular emphasis on a scientific or socio-economic context.

See full page