BE CPES Profile

Second-year mathematics curriculum, portion taught at Lycée Joffre:

# Review of Linear Algebra and Additional Concepts in Euclidean Geometry

# Advanced Probability

# Further Analysis of Functions of a Single Variable

# Functions of Several Variables

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This course is a cross-disciplinary course in the second year of the SV program designed to provide biology students with a fundamental understanding of how plants function, enabling them to grasp the current challenges in plant agricultural sciences.

The following basic concepts of plant physiology and functional biology will be studied: 

Key experimental approaches: plant transgenesis, forward and reverse genetics

Fundamentals of Autotrophy

mechanisms underlying the major stages of angiosperm development: meristem function, floral transition, and fertilization.

auxin, a key hormone involved in plant development and their response to the abiotic environment

The laboratory sessions will allow students to experiment with regulating plant water uptake and to analyze plant mineral nutrition using various biochemical assays (flame photometry, spectrophotometry). 

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This course is an introduction to the general concepts of scientific ecology: levels of organization, measurement and conservation of biodiversity, biogeography, and biotic and abiotic factors influencing the distribution and dynamics of biodiversity. It also provides an understanding of the methods used in scientific ecology: the importance of experimentation, considerations for designing a protocol, data analysis, and oral and written reports on an experiment.

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Advanced Topics in Linear Algebra, Reduction Theory, and Applications 

# Additional Concepts in Linear Algebra: The Concept of Direct Sum

# Determinants

# Reduction: Diagonalization and its applications to the study of discrete and continuous dynamical systems in physics, chemistry, biology, and economics.

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This course continues to build students' skills in applied mathematics, with a focus on numerical methods.

Schedule (subject to change depending on the year and the time available):

# Matrix Numerical Analysis

# digital integration

# Numerical Solution of Differential Equations

# Introduction to the Qualitative Analysis of Nonlinear Differential Equations

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The 10th-grade computer science course offered at the high school focuses on advanced concepts in algorithms and programming:

# Tree Data Structures: Binary Trees, Heaps, ABR, Priority Queues

# Sorting into piles, lower bound on the sort

# Graph Structures: Representations (Adjacency Matrices, Edge Lists, Neighbor Lists)

# Basic Algorithms (Connectivity, Breadth-First and Depth-First Search, Topological Sorting)

# Distance Calculation (Dijkstra, Heap Implementation)

# Introduction to Object-Oriented Programming (encapsulation, late binding, classes, methods, etc.)

# Python Programming

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This course unit complements the computer science curriculum by introducing students to the study of information systems and databases (designing processes within an information system and managing relational databases):

# Information Systems: Introduction to the Entity-Relationship Model, the Relational Model, and Business Process Modeling (Conceptual Business Process Model, Organizational Business Process Model)

# Databases: Creating, Manipulating, and Querying Relational Databases.

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This module is designed to enable students to acquire:

Basic Concepts in Physiology: The concept of homeostasis; levels of organization in the human body; compartments of the internal environment; study of the endocrine system; acid-base and water-mineral balances; anatomical and functional studies of the central and peripheral nervous systems.

Basic Concepts in Immunology:

General overview of the immune system; study of T and B lymphocytes and antigen-presenting cells; study of antimicrobial immunity and the complement system.

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

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The EU covers the theoretical concepts of plant biology, using the group of spermatophytes as a model. It aims to define the concepts and specific vocabulary related to morphology, anatomy, reproduction, and life cycles.

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The EU is interested in describing the morpho-anatomical characteristics of the major organizational plans of metazoans found in present-day and past faunas, as well as in explaining their origin and the dynamics of their emergence. It thus develops a perspective on organisms based on paleontology and zoology. It will primarily address the origin of metazoans and the main divisions—diploblastic and triploblastic organisms—as well as basic concepts related to the positioning and phylogenetic relationships among taxa (mono- and paraphyly, evolutionary convergence, etc.). The course is traditionally divided into lectures, tutorials—which will primarily aim to illustrate and support aspects related to the biodiversity of taxa—and laboratory sessions designed to develop skills, particularly and mandatorily in dissection.

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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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