First-Year Bachelor's Degree in CPES: Modeling and Numerical Methods in Materials Science

Atomic Physics: Periodic Table, Lewis and VSEPR Models
# Electron Configuration
# Periodic Table
# Description of Molecular Chemical Entities: Lewis and VSEPR

Introduction to Organic Chemistry and Basic Reaction Mechanisms
# Nomenclature
# Stereochemistry
# Fundamentals of Reactivity in Organic Chemistry
# Aliphatic Nucleophilic Substitutions
# β-Eliminations
# Electrophilic Addition to Alkenes
# Nucleophilic Addition: The Example of Organomagnesium Compounds

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First-Year Mathematics Curriculum at Lycée Joffre

# Set-Theoretical Reasoning and Vocabulary

# Supplementary Materials on Algebraic Calculus, Elementary Analysis, and Geometry

# Census

# Real Analysis: Sequences, Limits, and Continuity; Differentiability; Calculation of Antiderivatives and Integrals.

# Complex Numbers

# Differential Equations

# Linear Algebra: Vectors, Linear Mappings, and Matrices; Bases and Dimension,

# Asymptotic Analysis

# Introduction to Statistics

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

Geometric Optics

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

#
Lenses - Spherical Diopter, Spherical Mirror - Spherical, Thin Lenses
- Conjugation Relations

# Optical Instruments
- The Eye and Corrective Eyeglasses
- Astronomical Telescope or Galilean Telescope
- Microscope

Stitch Mechanics, Vibrations

# Point Kinematics
- Coordinate Systems
- Position, Velocity, Acceleration
- Classical Motion (Constant Acceleration, Circular Motion)
- 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 Flux 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, the law of conservation. Mesh and node theorems

# Simple dipoles and models.

# RC, RL, and RLC Circuits, Filtering.

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This modern language course focuses on the written and spoken use of English, with a particular emphasis on scientific and socioeconomic contexts.

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The first-year curriculum is as follows:

# Introduction to Contemporary Issues

# Introduction to Economics: An Introduction to Geopolitics

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

Algorithms and Programming 1: Basic Concepts in Algorithms and Programming:
• The concept of a problem, problem instances, complexity, termination, and validity proofs
• Algorithms and iterative processing
• Proofs: correctness, termination, complexity
• Linear data structures: arrays, linked lists, stacks, queues
• Sorting: insertion, selection, merge sort, other sorting examples
• Introduction to recursive processing (binary search, etc.)
• Programming in Python

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Using Computer Systems: Introduction to the Main Concepts of Computer Systems:
• Practical proficiency with a Linux environment
• Knowledge of the main Linux commands
• Understanding documentation pages (man)
• Sessions, files, directories, access permissions
• Programs, processes, commands, and scripting languages
• Console (terminal) vs. graphical execution modes
• Familiarization with shells, writing a few scripts

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Introduction to Numerical Analysis 

# Basics, Challenges, and Limitations; Representation of Numbers in Computers

# Additional Concepts for Numerical Analysis

# Numerical Solution of Nonlinear Equations

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Instruction takes the form of projects led by pairs of students, supplemented along the way by online sessions that allow students to apply concepts from physics and chemistry on a computer.

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

Tentative schedule:

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

2. Supervised projects offered to students: These projects involve the collection, processing, and interpretation of data. The general theme we have chosen is to train students to understand the concepts of “statistical field theory,” that is, the concept of probability applied to functions. This theme is ubiquitous in modern science: image processing and analysis, AI, statistical physics, dynamical systems and stochastic processes, sequencing, epidemiology, economics, observational cosmology..., and the combination of an approach that integrates numerical methods, mathematical ideas, and modeling seems to emerge naturally (examples of projects, list provided for illustrative purposes only: sand-grain statistics, the Poisson and Gaussian distributions, connection to the Beer-Lambert law via the concept of effective cross-section; observational data in cosmology: matter/radiation distribution on the scale of the universe; epidemiological statistics and dynamics; microscopy and analysis of Brownian motion; etc.)

3. Additional Topics in Chemistry: Slater’s effective theory for atoms (effective screening 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 curriculum below covers the two physics courses in the first year of the CPES program at Lycée Joffre

Geometric Optics

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

#
Lenses - Spherical Diopter, Spherical Mirror - Spherical, Thin Lenses
- Conjugation Relations

# Optical Instruments
- The Eye and Corrective Eyeglasses
- Astronomical Telescope or Galilean Telescope
- Microscope

Stitch Mechanics, Vibrations

# Point Kinematics
- Coordinate Systems
- Position, Velocity, Acceleration
- Classical Motion (Constant Acceleration, Circular Motion)
- 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 Flux 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, the law of conservation. Mesh and node theorems

# Simple dipoles and models.

# RC, RL, and RLC Circuits, Filtering.

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Program Overview:

– Probability Vocabulary

– Random variables and probability distributions

– Expectation and variance

– Applications

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Thermodynamics
# Fundamentals: 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 curriculum 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 an immersion in a research laboratory (meeting with researchers, learning about research projects) and a literature review designed to help students articulate their understanding of the research process, as well as the objectives and expected and hoped-for outcomes of a project.

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First-Year Mathematics Curriculum at Lycée Joffre

# Set-Theoretical Reasoning and Vocabulary

# Supplementary Materials on Algebraic Calculus, Elementary Analysis, and Geometry

# Census

# Real Analysis: Sequences, Limits, and Continuity; Differentiability; Calculation of Antiderivatives and Integrals.

# Complex Numbers

# Differential Equations

# Linear Algebra: Vectors, Linear Mappings, and Matrices; Bases and Dimension,

# Asymptotic Analysis

# Introduction to Statistics

View the full page

Instruction takes the form of projects led by pairs of students, supplemented along the way by online sessions that allow students to apply concepts from physics and chemistry on a computer.

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

Tentative schedule:

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

2. Supervised projects offered to students: These projects involve the collection, processing, and interpretation of data. The general theme we have chosen is to train students to understand the concepts of “statistical field theory,” that is, the concept of probability applied to functions. This theme is ubiquitous in modern science: image processing and analysis, AI, statistical physics, dynamical systems and stochastic processes, sequencing, epidemiology, economics, observational cosmology..., and the combination of an approach that integrates numerical methods, mathematical ideas, and modeling seems to emerge naturally (examples of projects, list provided for illustrative purposes only: sand-grain statistics, the Poisson and Gaussian distributions, connection to the Beer-Lambert law via the concept of effective cross-section; observational data in cosmology: matter/radiation distribution on the scale of the universe; epidemiological statistics and dynamics; microscopy and analysis of Brownian motion; etc.)

3. Additional Topics in Chemistry: Slater’s effective theory for atoms (effective screening potential), molecular orbitals, fragment approach

View the full page

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

Algorithms and Programming 1: Basic Concepts in Algorithms and Programming:
• The concept of a problem, problem instances, complexity, termination, and validity proofs
• Algorithms and iterative processing
• Proofs: correctness, termination, complexity
• Linear data structures: arrays, linked lists, stacks, queues
• Sorting: insertion, selection, merge sort, other sorting examples
• Introduction to recursive processing (binary search, etc.)
• Programming in Python

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VBA Programming in Excel: Developing VBA Macros in Excel:

# Working with Macros in Excel

# Applying the Basics of VBA 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

View the full page

This modern language course focuses on the written and oral use of English, with a particular emphasis on scientific and socioeconomic contexts.

View the full page