Training Structure
College of Sciences
List of Courses
Arithmetic and Counting
6 creditsThermodynamics 1
5 credits54hAlgebra II, Vector Spaces, and Linear Mappings
6 creditsKinematics and Statics of Solids
5 credits45hEnglish S2
2 creditsAnalysis II: Sequences, Series, and Finite Series
6 credits
Arithmetic and Counting
ECTS
6 credits
Training Structure
College of Sciences
This course unit aims to introduce the basic concepts of arithmetic and counting that are useful for the beginning of the bachelor’s degree in mathematics.
Thermodynamics 1
Level of Education
One year of college
ECTS
5 credits
Training Structure
College of Sciences
Number of hours
54h
After reviewing classical mechanics, we will discuss the fundamental quantities of thermodynamics: elementary work, macroscopic work...
The distinction between heat and temperature will be explained in detail.
The concept of pressure will be explained from a macroscopic perspective, while also providing its microscopic interpretation.
Next, using a historical approach, we will show how the first and second laws of thermodynamics came to be formulated.
From there, we will look at various applications: cycles, ideal and real gases, etc.
With the introduction of phase changes, examples (critical point) will be discussed.
We will conclude with thermal phenomena: primarily diffusion. Depending on the time remaining, concepts related to radiation will be discussed.
Algebra II, Vector Spaces, and Linear Mappings
ECTS
6 credits
Training Structure
College of Sciences
This course follows S1 (Algebra I), in which linear algebra in R², R³, andR^n, matrix algebra, and polynomials with real coefficients were introduced.
The goal is to introduce some basic concepts of algebraic structure and to delve deeper into vector spaces and linear mappings, as well as polynomials.
Kinematics and Statics of Solids
Level of Education
One year of college
ECTS
5 credits
Training Structure
College of Sciences
Number of hours
45h
The purpose of this Solid Mechanics course is to study articulated systems composed of rigid solids by examining their motions and equilibrium positions. Topics covered include velocity fields in solids, the classification of joints, and internal forces. Graphical methods of kinematics and statics are also used.
English S2
ECTS
2 credits
Training Structure
College of Sciences
Analysis II: Sequences, Series, and Finite Series
ECTS
6 credits
Training Structure
College of Sciences
This course follows on from the S1 course (Analysis I), in which we were introduced to the continuity and differentiability of real-valued functions, common functions, and the study of real sequences.
The goal is to continue and expand on the work on sequences and functions, and to introduce the study of numerical series.