ECTS
30 credits
Training structure
Faculty of Science
List of courses
Algebra I linear systems
5 creditsCalculus CUPGE & maths
3 creditsAlgorithms 1
5 creditsReasoning and Set Theory
2 creditsFunctional programming
5 creditsEnglish S1
1 creditsGeometry in the plane, space and complex plane
4 creditsAnalysis I functions of one variable and sequences
5 credits
Algebra I linear systems
ECTS
5 credits
Training structure
Faculty of Science
This UE is an introduction to linear algebra (formalized in S2), based on intuition from plane and space geometry. It includes an introduction to matrix calculus.
The UE also introduces the basic language of polynomials.
Calculus CUPGE & maths
ECTS
3 credits
Training structure
Faculty of Science
The aim of this UE is to rework certain analysis concepts from high school, deepening them and developing the practice and interpretation of calculations.
Algorithms 1
ECTS
5 credits
Training structure
Faculty of Science
In this module we introduce the basic concepts of algorithms (notion of problem, problem instance, instance size, notion of complexity, termination, proof of validity).
The algorithms presented will deal with problems related to sorting, stacks, queues, arrays....
Reasoning and Set Theory
ECTS
2 credits
Training structure
Faculty of Science
Functional programming
ECTS
5 credits
Training structure
Faculty of Science
This course introduces the functional programming paradigm. First, we'll talk about lambda-calculus, the computational model on which functional languages are based. We then move on to teach a real functional programming language, namely OCaml.
The presentation of OCaml will mainly follow the following 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, iterators on lists.
Time permitting, we'll also take a look at OCaml's module system, one of whose main motivations is to group together related definitions, but which also introduces reusability through the system of parameterized modules (functors).
Geometry in the plane, space and complex plane
ECTS
4 credits
Training structure
Faculty of Science
This UE aims to work on plane geometry and its objects, as well as demonstrations. It also introduces complex numbers. The geometry and complex numbers sections each account for half of the UE.
- plane geometry objects: points, lines, vectors, angles, circles, triangles, etc.
- geometric transformations of the plane: symmetries, homotheties, rotations, translations.
- work on mathematical demonstration
- introduction to complex numbers, geometric interpretation, calculating with complex numbers
Analysis I functions of one variable and sequences
ECTS
5 credits
Training structure
Faculty of Science
The aim of this course is to clarify the notions of limits of sequences and functions, to deepen the study of sequences and functions, and to study the notions of continuity and derivability of functions, as well as to introduce the main "usual" functions.