Training structure
Faculty of Science
List of courses
Arithmetic and counting
6 creditsThermodynamics 1
5 credits54hAlgebra II, vector spaces, and linear applications
6 creditsSolid kinematics and statics
5 credits45hEnglish S2
2 creditsAnalysis II Sequences, series, limited developments
6 credits
Arithmetic and counting
ECTS
6 credits
Training structure
Faculty of Science
This course aims to introduce the basic concepts of arithmetic and counting that are useful for beginning a bachelor's degree in mathematics.
Thermodynamics 1
Level of education
Bachelor's degree +1
ECTS
5 credits
Training structure
Faculty of Science
Hours per week
54h
After reviewing classical mechanics, we will discuss the fundamental quantities of thermodynamics: elementary work, macroscopic work, etc.
The distinction between heat and temperature will be explained in detail.
The concept of pressure will be explained macroscopically, while also providing a microscopic interpretation.
Next, using a historical approach, we will show how principles 1 and 2 were formulated.
From there, applications will be examined: cycles, ideal/real gas, etc.
Thanks to the introduction of state changes, examples (critical point) will be presented.
We will conclude with thermodynamics: mainly diffusion. Depending on the time remaining, concepts related to radiation will be presented.
Algebra II, vector spaces, and linear applications
ECTS
6 credits
Training structure
Faculty of Science
This follows on from EU S1 (Algebra I), which introduced linear algebra in R², R³ andRn, matrix calculus, and polynomials with real coefficients.
The objective is to introduce some basic concepts of algebraic structure and to deepen the study of vector spaces and linear applications, as well as polynomials.
Solid kinematics and statics
Level of education
Bachelor's degree +1
ECTS
5 credits
Training structure
Faculty of Science
Hours per week
45h
This Solid Mechanics course focuses on the study of articulated systems consisting of rigid solids through their movements and equilibrium positions. The concepts covered include velocity fields in solids, the classification of connections, and forces. Graphical kinematic and static methods are also used.
English S2
ECTS
2 credits
Training structure
Faculty of Science
Analysis II Sequences, series, limited developments
ECTS
6 credits
Training structure
Faculty of Science
This follows on from S1 (Analysis I), where continuity and differentiability of real functions, common functions, and the study of real sequences were introduced.
The objective is to continue and deepen the work on sequences and functions, and to introduce the study of numerical series.