Bachelor's Degree in Modeling and Digital Technology in Life Sciences

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Second-year mathematics program, taught at Lycée Joffre:

# Linear algebra refresher and Euclidean geometry supplements

# Advanced Probabilities

# Additional analysis of functions of a variable

# Functions of several variables

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This course is a cross-disciplinary course in L2 SV aimed at providing biology students with a fundamental knowledge base on plant functioning, enabling them to understand current issues in plant agricultural sciences.

The following basic concepts of Plant Physiology/Functional Biology will be studied: 

Essential experimental approaches: plant transgenesis, forward and reverse genetics

basics of autotrophy

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

auxin, a major hormone for plant development and their response to the abiotic environment

The practical sessions will enable students to manipulate the regulation of plant water nutrition and analyze their 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, biodiversity measurement and conservation, biogeography, biotic and abiotic factors affecting biodiversity distribution and dynamics. It also provides an understanding of the methods used in scientific ecology: the value of experimentation, reflection on protocol development, data analysis, and oral and written reports on experiments.

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Complements to linear algebra, reduction theory, and applications 

# Linear algebra supplements, concept of direct sum

# Determinants

# Reduction: diagonalization and applications to the study of discrete and continuous dynamic systems in physics, chemistry, biology, or economics.

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This course continues the training of students in applied mathematics with a focus on numerical methods.

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

# numerical matrix analysis

#digital integration

# numerical solution of differential equations

# Introduction to the qualitative study of nonlinear differential equations

.

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

# Tree data structures: binary trees, heaps, ABRs, priority queues

# Sort by pile, lower bound on sort

# Graph structure: representations (adjacency matrices, edge lists, neighbor lists)

# Basic algorithms (connectivity, depth-first and breadth-first search, topological sorting)

# Distance calculation (Dijkstra, implementation with heap)

# Introduction to object-oriented programming (encapsulation, late binding, classes, methods, etc.)

# Programming in Python

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

# Information systems: introduction to the entity/association model, relational model, process modeling (conceptual process model, organizational process model)

# Databases: creation, manipulation, and querying of relational databases.

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This module should enable students to acquire:

Basic concepts in physiology: Concept of homeostasis; levels of organization of the human body; compartments of the internal environment; study of the endocrine system; acid-base and water-mineral balance; 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, antigen-presenting cells; study of antimicrobial immunity and complement.

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This modern language course focuses on written and oral English, with particular emphasis on oral expression.

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The EU addresses theoretical concepts in plant biology, using the group of Spermatophytes as a model. It aims to define the concepts and specific vocabulary of morphology, anatomy, reproduction, and biological cycles.

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The EU is interested in describing the morpho-anatomical characteristics of the major organizational plans of metazoans found in current and past faunas, as well as explaining their origin and the dynamics of their appearance. It is thus developing a vision of organisms based on paleontology and zoology. It will mainly address the origin of metazoans and the main divisions, namely diploblasts and triploblasts, as well as basic concepts relating to the positioning and phylogenetic relationships between taxa (mono- and paraphyly, evolutionary convergence, etc.). It is traditionally divided into lectures, tutorials that mainly aim to illustrate and support aspects related to the biodiversity of taxa, and practical work in sessions aimed at acquiring skills, particularly and necessarily 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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Second-year mathematics program, taught at Lycée Joffre:

# Linear algebra refresher and Euclidean geometry supplements

# Advanced Probabilities

# Additional analysis of functions of a variable

# Functions of several variables

See the full page

This course is a cross-disciplinary course in L2 SV aimed at providing biology students with a fundamental knowledge base on plant functioning, enabling them to understand current issues in plant agricultural sciences.

The following basic concepts of Plant Physiology/Functional Biology will be studied: 

Essential experimental approaches: plant transgenesis, forward and reverse genetics

basics of autotrophy

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

auxin, a major hormone for plant development and their response to the abiotic environment

The practical sessions will enable students to manipulate the regulation of plant water nutrition and analyze their mineral nutrition using various biochemical assays (flame photometry, spectrophotometry). 

See the full page

This course is an introduction to the general concepts of scientific ecology: levels of organization, biodiversity measurement and conservation, biogeography, biotic and abiotic factors affecting biodiversity distribution and dynamics. It also provides an understanding of the methods used in scientific ecology: the value of experimentation, reflection on protocol development, data analysis, and oral and written reports on experiments.

See the full page

Complements to linear algebra, reduction theory, and applications 

# Linear algebra supplements, concept of direct sum

# Determinants

# Reduction: diagonalization and applications to the study of discrete and continuous dynamic systems in physics, chemistry, biology, or economics.

See the full page

This course continues the training of students in applied mathematics with a focus on numerical methods.

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

# numerical matrix analysis

#digital integration

# numerical solution of differential equations

# Introduction to the qualitative study of nonlinear differential equations

.

See the full page

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

# Tree data structures: binary trees, heaps, ABRs, priority queues

# Sort by pile, lower bound on sort

# Graph structure: representations (adjacency matrices, edge lists, neighbor lists)

# Basic algorithms (connectivity, depth-first and breadth-first search, topological sorting)

# Distance calculation (Dijkstra, implementation with heap)

# Introduction to object-oriented programming (encapsulation, late binding, classes, methods, etc.)

# Programming in Python

See the full page

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

# Information systems: introduction to the entity/association model, relational model, process modeling (conceptual process model, organizational process model)

# Databases: creation, manipulation, and querying of relational databases.

See the full page

This module should enable students to acquire:

Basic concepts in physiology: Concept of homeostasis; levels of organization of the human body; compartments of the internal environment; study of the endocrine system; acid-base and water-mineral balance; 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, antigen-presenting cells; study of antimicrobial immunity and complement.

See the full page

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This modern language course focuses on written and oral English, with particular emphasis on oral expression.

See the full page

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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

See the full page

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Second-year mathematics program, taught at Lycée Joffre:

# Linear algebra refresher and Euclidean geometry supplements

# Advanced Probabilities

# Additional analysis of functions of a variable

# Functions of several variables

See the full page

General knowledge (epistemology and philosophy):

# history of ideas

# epistemology of science and digital technology

#argumentation and communication

See the full page

Introduction to the use of data mining methods:

# Motivations, areas of application

# Data mining tasks (classification, estimation, prediction, etc.)

# Data processing (pre/post-processing)

# Supervised learning (Bayesian method, k-nearest neighbors, neural networks, etc.)

# Unsupervised learning (k-means)

# Evaluation of methods

# Data mining software (R, Scikit, Weka, etc.)

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The Physiology of Major Functions course in semester 4 of the CPES program aims to complement the course devoted to studying the role and interactions of the various systems in the body that work together to maintain a constant internal environment. This course consists of practical work and tutorials.

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This course continues the training of students in applied mathematics, particularly the use of statistical tools:

# Concepts of populations and random samples.

# Estimators.

Mean square error and bias-variance decomposition.

# Hypothesis testing: null hypothesis, alternative hypothesis. Type I and Type II errors. Power of a test. Test statistic, rejection region. Examples of classical tests.

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The objective of this EU is to understand evolutionary processes at both the micro- and macro-evolutionary scales.

Using examples, manipulations, and accessible modeling, the lessons will aim to present in a concrete and quantitative manner the effects of the four evolutionary forces operating at the individual and population levels (mutation, migration, selection, and drift). The integration of these microevolutionary processes on larger time scales (e.g., differentiation between lineages, speciation) will then be addressed. Finally, the course will include an introduction to phylogenetics tools (reading and constructing trees) for studying macroevolutionary events (diversification, extinction) and tracing changes in character states, in particular by integrating fossil data.

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- Physiology of major functions: anatomy and functions of the cardiovascular, respiratory, renal, and digestive systems.

- Cellular and molecular biology 3: cytoskeletal function, cell adhesion, protein trafficking and study methods, cell cycle regulation, immunoprecipitation, fluorescence videomicroscopy, RNA interference, overexpression, gene expression regulation: transcriptional regulation (repressor, activator) and attenuation in prokaryotes, mechanisms of expression regulation in eukaryotes.

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

# Tree data structures: binary trees, heaps, ABRs, priority queues

# Sort by pile, lower bound on sort

# Graph structure: representations (adjacency matrices, edge lists, neighbor lists)

# Basic algorithms (connectivity, depth-first and breadth-first search, topological sorting)

# Distance calculation (Dijkstra, implementation with heap)

# Introduction to object-oriented programming (encapsulation, late binding, classes, methods, etc.)

# Programming in Python

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This modern language course focuses on written and oral English, with particular emphasis on oral expression.

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This compulsory course will enable students to deepen the skills they acquired in "Biochemistry S3." It will enable them to understand cellular metabolism by:

-understanding bioenergetics in order to study the processes by which living cells convey, transmit, use, accumulate, and release energy;
-the study of catabolism and anabolism of carbohydrates, lipids, nucleotides, amino acids, and the metabolic interactions between these pathways.

- the description of metabolic disorders.

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In this introductory course to genetic analysis, the objectives are to learn the terms, principles, concepts, and methods used in formal genetics, as well as their fields of application, particularly in human and medical genetics. This course covers the genetics of transmission (Mendelian and non-Mendelian), quantitative genetics, and concepts of population genetics. Throughout the course, close links are established between classical genetics and molecular genetics.

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This course aims to broaden the knowledge acquired previously to different areas of microbiology, particularly microbial ecology.

It will address pathogenic relationships, but will also present examples of symbiotic associations. It will discuss the applications of microorganisms in biotechnology. It will describe how antibiotics work and the associated resistance phenomena, as well as their impact.

The EU will address the concept of viral ecology by presenting the place and role of viruses in ecosystems. The case of bacteriophages will be addressed more specifically, and the mechanisms of bacterial resistance to phage infection will be detailed. The different types of viral infection in animals will be presented (acute and persistent infections) and illustrated through the study of the pathogenesis of selected viral infections.

Knowledge about microorganisms will be expanded through the study of Archaea and a model eukaryotic organism, yeast.

The practical work will focus on performing and interpreting an antibiogram, and on titrating bacteriophages.

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This course, similar in spirit to the first-year project, is an introduction to the research process, more advanced than in the first year: it includes immersion in a research laboratory, a bibliographic study, and the completion of a project involving the study of a biological context, the acquisition of experimental or observational data, and the implementation of a modeling and/or numerical simulation approach.

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Second-year mathematics program, taught at Lycée Joffre:

# Linear algebra refresher and Euclidean geometry supplements

# Advanced Probabilities

# Additional analysis of functions of a variable

# Functions of several variables

See the full page

General knowledge (epistemology and philosophy):

# history of ideas

# epistemology of science and digital technology

#argumentation and communication

See the full page

Introduction to the use of data mining methods:

# Motivations, areas of application

# Data mining tasks (classification, estimation, prediction, etc.)

# Data processing (pre/post-processing)

# Supervised learning (Bayesian method, k-nearest neighbors, neural networks, etc.)

# Unsupervised learning (k-means)

# Evaluation of methods

# Data mining software (R, Scikit, Weka, etc.)

See the full page

The EU extends an EU from L2 S3 focusing on describing the morpho-anatomical characteristics of the major organizational plans of metazoans found in current and past faunas, as well as explaining their origin and dynamics of appearance through the acquisition of skills in paleontology and zoology. In S4, it will mainly explore the major subdivisions within protostome organisms, namely lophotrochozoans (annelids, mollusks, brachiopods, etc.) and ecdysozoans (arthropods, nematodes, etc.), while highlighting their phylogenetic relationships and their socio-economic importance or impact. The course is traditionally divided into lectures and tutorials, which will mainly aim to illustrate and support aspects related to the biodiversity of taxa, and practical work in sessions aimed at acquiring skills, in particular and necessarily through the performance of certain dissections.

See the full page

This course continues the training of students in applied mathematics, particularly the use of statistical tools:

# Concepts of populations and random samples.

# Estimators.

Mean square error and bias-variance decomposition.

# Hypothesis testing: null hypothesis, alternative hypothesis. Type I and Type II errors. Power of a test. Test statistic, rejection region. Examples of classical tests.

See the full page

The objective of this EU is to understand evolutionary processes at both the micro- and macro-evolutionary scales.

Using examples, manipulations, and accessible modeling, the lessons will aim to present in a concrete and quantitative manner the effects of the four evolutionary forces operating at the individual and population levels (mutation, migration, selection, and drift). The integration of these microevolutionary processes on larger time scales (e.g., differentiation between lineages, speciation) will then be addressed. Finally, the course will include an introduction to phylogenetics tools (reading and constructing trees) for studying macroevolutionary events (diversification, extinction) and tracing changes in character states, in particular by integrating fossil data.

See the full page

- Physiology of major functions: anatomy and functions of the cardiovascular, respiratory, renal, and digestive systems.

- Cellular and molecular biology 3: cytoskeletal function, cell adhesion, protein trafficking and study methods, cell cycle regulation, immunoprecipitation, fluorescence videomicroscopy, RNA interference, overexpression, gene expression regulation: transcriptional regulation (repressor, activator) and attenuation in prokaryotes, mechanisms of expression regulation in eukaryotes.

See the full page

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

# Tree data structures: binary trees, heaps, ABRs, priority queues

# Sort by pile, lower bound on sort

# Graph structure: representations (adjacency matrices, edge lists, neighbor lists)

# Basic algorithms (connectivity, depth-first and breadth-first search, topological sorting)

# Distance calculation (Dijkstra, implementation with heap)

# Introduction to object-oriented programming (encapsulation, late binding, classes, methods, etc.)

# Programming in Python

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The EU addresses the different groups of plants ("algae," "cryptogams," spermatophytes), specifying for each of them their phylogenetic position and nature (monophyletic or paraphyletic group), their origin, and their specific characteristics in terms of morphology, anatomy, reproduction, and ecology.

Four grades present the different groups of plants: Grade 4, diversity of "algae"; Grade 5, biological cycles of "algae"; Grade 6, "cryptogams"; Grade 7, spermatophytes.

Six tutorials cover cross-disciplinary concepts based on oral and written exercises: Tutorial 1, Biological Cycles; Tutorial 2, Endosymbiosis; Tutorial 3, Interactions; Tutorial 4, Adaptation; Tutorial 5, Polyploidy; Tutorial 6, Phylogeny.

Six practical sessions illustrate the concepts covered in lectures and tutorials using living material: PS1, "algae"1; PS2, "algae"2; PS3, "bryophytes"; PS4, "pteridophytes"; PS5, Gymnosperms, vegetative system; PS6, Gymnosperms, reproduction.

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Functional ecology aims to provide a solid foundation for understanding how terrestrial ecosystems function, particularly the role played by living organisms in material flows within these ecosystems. The main processes addressed are primary production, consumption relationships (particularly herbivory), and the decomposition and transformation of soil organic matter. For each of these processes, particular attention is paid to (1) the link between the strategies of organisms and their function in the ecosystem, and (2) basing the presentation of concepts on field observations, highlighting characteristics of organisms or the ecosystem that students may encounter during field trips.

This course thus fits between a broader introduction to ecology in S1 (HLBE304) and provides the necessary concepts for the L3 course in community ecology.

The emphasis is on practical aspects, particularly through a series of group practical assignments, in which a simple but scientifically relevant hypothesis will be tested experimentally using an appropriate protocol.

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This modern language course focuses on written and oral English, with particular emphasis on oral expression.

See the full page

This course, similar in spirit to the first-year project, is an introduction to the research process, more advanced than in the first year: it includes immersion in a research laboratory, a bibliographic study, and the completion of a project involving the study of a biological context, the acquisition of experimental or observational data, and the implementation of a modeling and/or numerical simulation approach.

See the full page