The course Analysis 1 introduces the fundamental concepts of mathematical analysis that form the basis for advanced studies in science and engineering. It focuses on the rigorous study of real numbers, functions, limits, continuity, differentiation, and the applications of derivatives.
Students will learn how to analyze and interpret the behavior of functions, develop problem-solving skills, and understand the theoretical foundations of calculus used in physics, computer science, and other technical fields.
Main topics covered:
- Real numbers and inequalities
- Sequences and limits
- Functions of one real variable
- Continuity and properties of continuous functions
- Derivatives and rules of differentiation
- Applications of derivatives (monotonicity, extrema, optimization, graph analysis)
Learning outcomes:
By the end of the course, students will be able to:
- Manipulate real functions with precision and rigor.
- Compute and interpret limits and derivatives.
- Apply differential calculus to solve practical and theoretical problems.
L’enseignement de cette matière permet à l’étudiant d’acquérir les notions fondamentales de la mécanique classique liée au point matériel à travers :
- la cinématique
- la dynamique
- et les concepts travail et énergie
Faire découvrir à l’étudiant, dans une première étape, l’ensemble des filières qui sont couverts par le
Domaine des Sciences et Technologies et dans une seconde étape une panoplie des métiers sur
lesquels débouchent ces filières. Dans le même contexte, cette matière introduit les nouveaux enjeux
du développement durable ainsi que les nouveaux métiers qui peuvent en découler.
Ce cours a pour objectif principal de faciliter l’immersion de l’étudiant dans la vie universitaire et sa transition vers l’âge adulte et les responsabilités qui en découlent. Il vise à sensibiliser les étudiants aux principes éthiques, à les initier aux règles qui régissent la vie à l’université — notamment leurs droits et obligations au sein de la communauté universitaire — ainsi qu’aux exigences du monde professionnel. Le cours aborde également l’importance du respect et de la valorisation de la propriété intellectuelle, tout en les sensibilisant aux dérives morales telles que la corruption et aux moyens de les prévenir et de les combattre.
Enseignants : BENLAHMIDI Said et DJOUALLAH Samira
Ces TP sont complémentaires avec le cours et le TD du module Eléments de Mécanique
This course, designed for first-year students in Science and Technology , helps learners acquire the fundamental concepts of chemistry by exploring the nature of atoms, chemical bonds, chemical elements, and the periodic table. It also introduces the concept of energy quantification in chemistry, enabling students to understand the relationship between matter and energy at the atomic level.
Through a combination of theoretical knowledge and practical applications, the course aims to enhance students’ analytical and problem-solving skills, preparing them for further studies and practical work in the field of science and technology.
The teaching of this subject enables students to acquire the basic formalisms of chemistry, particularly in the field describing the atom and the chemical bond, chemical elements, and the periodic table with energy quantization. It also aims to make students more capable of solving chemistry problems.
This course introduces students to the fundamental concepts of computer architecture and its applications. It provides a clear understanding of how computers are structured, how they execute programs, and how data flows through different components. The course bridges the gap between hardware and software, helping students understand how electronic circuits support computation and how system components interact to perform tasks efficiently. Through theoretical explanations and practical exercises, students will learn how a computer processes information, how memory and I/O systems are organized, and how processors execute instructions. The course also highlights real-world applications of computer systems in science, engineering, and daily life.