Bachelor's Degree in Modeling and Digital Technology in Materials Science

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

Introduction to organic chemistry and basic reaction mechanisms
# Nomenclature
# Stereochemistry
# Basics of reactivity in organic chemistry
# Aliphatic nucleophilic substitutions
# β-eliminations
# Electrophilic addition to alkenes
# Nucleophilic addition using organomagnesium compounds as an example

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First-year mathematics program at Lycée Joffre

# Reasoning and set-theoretic vocabulary

# Supplementary courses in algebraic calculus, elementary analysis, and geometry

# Enumeration

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

# Complex numbers

# Differential equations

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

# Asymptotic analysis

# Basics of statistics

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The program below covers the two physics courses in the first year of CPES at 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 eyewear
- Astronomical telescope or Galileo telescope
- Microscope

Point mechanics, vibrations

# Point kinematics
- Coordinate systems
- Position, velocity, acceleration
- Classical motions (constant acceleration, circular)
- Chronophotography

# Laws of dynamics

# Energy approach

# Oscillators

Electrostatics, Magnetostatics

# Electric charge, electric field

# Electrostatic potential, potential energy

# Gauss's theorem: statement and examples

# Current element, magnetostatic field

# Circulation and flow of the magnetic field

# Electrostatic dipoles

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

Electrokinetics

# Current and voltage, charge and current densities, conservation law. Mesh and node laws

# Simple dipoles and models.

# RC, RL, RLC circuits, filtering.

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This modern language course focuses on written and oral English, with particular emphasis on scientific and socio-economic contexts.

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The first-year program is as follows:

# Introduction to Contemporary Issues

# introduction to economics introduction to geopolitics

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

Algorithms and programming 1: basic concepts in algorithms 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: insertion, selection, merge sort, other sorting examples
• Introduction to recursive processing (dichotomous search, etc.)
• Programming in Python

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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 numerical analysis 

# Basic concepts, challenges and limitations, machine representation of numbers

# Additional analysis tools for numerical analysis

# Numerical solution of nonlinear equations

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Teaching takes the form of projects, undertaken by pairs of students, supplemented on an ongoing basis by digital sessions allowing students to practice physics and chemistry concepts on a computer.

Depending on requirements, a few more traditional classes are planned to supplement the students' training.

Indicative program:

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

2. Supervised projects offered to students: these involve the acquisition, processing, and interpretation of data. The general theme we have chosen is to train students to understand 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, dynamic systems and stochastic processes, sequencing, epidemiology, economics, observational cosmology, etc. and the combination of numerical methods, mathematical ideas, and modeling seems to emerge naturally (examples of projects, purely indicative list: sand grain statistics, Poisson and Gaussian distributions, link with Beer-Lambert's law via the concept of effective cross section; observational data in cosmology: matter/radiation distribution on 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 screen potential), molecular orbitals, fragment approach

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General knowledge (epistemology and philosophy):

# history of ideas

# epistemology of science and digital technology

#argumentation and communication

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The program below covers the two physics courses in the first year of CPES at 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 eyewear
- Astronomical telescope or Galileo telescope
- Microscope

Point mechanics, vibrations

# Point kinematics
- Coordinate systems
- Position, velocity, acceleration
- Classical motions (constant acceleration, circular)
- Chronophotography

# Laws of dynamics

# Energy approach

# Oscillators

Electrostatics, Magnetostatics

# Electric charge, electric field

# Electrostatic potential, potential energy

# Gauss's theorem: statement and examples

# Current element, magnetostatic field

# Circulation and flow of the magnetic field

# Electrostatic dipoles

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

Electrokinetics

# Current and voltage, charge and current densities, conservation law. Mesh and node laws

# Simple dipoles and models.

# RC, RL, RLC circuits, filtering.

See the full page

Summary program:

– Probabilistic vocabulary

– Random variables and probability distributions

– Expectation and variance

– Applications

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

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The first-year program is as follows:

# Introduction to Contemporary Issues

# introduction to economics

# introduction to geopolitics

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This course is an introduction to the research process: it includes immersion in a research laboratory (meeting researchers, discovering research projects) and a bibliographic study aimed at helping students understand the research process, the objectives, and the expected and hoped-for results of a project.

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First-year mathematics program at Lycée Joffre

# Reasoning and set-theoretic vocabulary

# Supplementary courses in algebraic calculus, elementary analysis, and geometry

# Enumeration

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

# Complex numbers

# Differential equations

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

# Asymptotic analysis

# Basics of statistics

See the full page

Teaching takes the form of projects, undertaken by pairs of students, supplemented on an ongoing basis by digital sessions allowing students to practice physics and chemistry concepts on a computer.

Depending on requirements, a few more traditional classes are planned to supplement the students' training.

Indicative program:

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

2. Supervised projects offered to students: these involve the acquisition, processing, and interpretation of data. The general theme we have chosen is to train students to understand 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, dynamic systems and stochastic processes, sequencing, epidemiology, economics, observational cosmology, etc. and the combination of numerical methods, mathematical ideas, and modeling seems to emerge naturally (examples of projects, purely indicative list: sand grain statistics, Poisson and Gaussian distributions, link with Beer-Lambert's law via the concept of effective cross section; observational data in cosmology: matter/radiation distribution on 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 screen potential), molecular orbitals, fragment approach

See the full page

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

Algorithms and programming 1: basic concepts in algorithms 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: insertion, selection, merge sort, other sorting examples
• Introduction to recursive processing (dichotomous search, etc.)
• Programming in Python

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VBA programming in Excel Development of VBA macros in Excel:

# Using macros in Excel

# Applying the basics of VBA language in Excel

# Debugging VBA macros in Excel

# Writing custom functions

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General knowledge (epistemology and philosophy):

# history of ideas

# epistemology of science and digital technology

#argumentation and communication

See the full page

This modern language course focuses on written and oral English, with particular emphasis on scientific and socio-economic contexts.

See the full page