Maths Profile with a Minor in Computer Science

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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.

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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. 

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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).

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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

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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.

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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

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.

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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