L1 - Dual Bachelor's Degree in Computer Science and Mathematics

This course is an introduction to linear algebra (formalized in S2) based on intuition drawn from plane and solid geometry. It includes an introduction to matrix algebra.

The EU is also introducing the basic language of polynomials.

View the full page

Introduction to the Key Concepts of Computer Systems

View the full page

The theory of languages and automata is a fundamental branch of computer science. In this course, we will study languages and their representations, with a particular focus on rational languages and their representation by finite-state automata.

View the full page

The purpose of this unit is to revisit certain analytical concepts covered in high school, explore them in greater depth, and develop students’ computational skills and their ability to interpret calculations.

View the full page

In this module, we introduce the basic concepts of algorithms (the concept of a problem, a problem instance, instance size, the concept of complexity, termination, and proof of correctness).

The algorithms presented will address problems related to sorting, stacks, queues, arrays, and more. 

View the full page

View the full page

This course aims to introduce the functional programming paradigm. First, we will discuss lambda calculus, which is the computational model on which functional languages are based. Then, we will move on to teaching a real functional programming language, namely OCaml.

The OCaml presentation will mainly follow this outline:
1. Basic types, definitions.
2. Function declarations.
3. Basic data structures (tuples, lists).
4. Advanced data structures (sum types, records).
5. Exceptions.
6. Higher-order functions, list iterators.

If time permits, we will also look at OCaml's module system, one of the main purposes of which is to group related definitions, but which also enables reusability through the system of parameterized modules (functors).

View the full page

View the full page

This unit aims to explore plane geometry, its objects, and proofs. The unit also aims to introduce complex numbers. The sections on geometry and complex numbers each make up half of the unit.

- objects in plane geometry: points, lines, vectors, angles, circles, triangles, etc.

- Geometric transformations of the plane: symmetries, homotheties, rotations, translations.

- work on mathematical proofs

- Introduction to complex numbers, geometric interpretation, calculations with complex numbers

View the full page

The purpose of this unit is to clarify the concepts of limits of sequences and functions, to explore sequences and functions in greater depth, to examine the concepts of continuity and differentiability of functions, and to introduce the main “common” functions.

View the full page

Sequel to HAI101I, Algorithms 1

View the full page

Mastery of the fundamentals of C programming; understanding how algorithms and abstract data structures are implemented in the machine.

View the full page

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.

View the full page

View the full page

View the full page

View the full page

View the full page

View the full page

View the full page

View the full page

View the full page

View the full page

View the full page

View the full page

View the full page

View the full page

View the full page

View the full page

Introduction to Web Application Programming

View the full page

This course follows S1 (Algebra I), in which linear algebra in R², R³, and^{R^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.

View the full page

View the full page

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.

View the full page