Mathematics

The Scienteens Lab now offers two different workshops in mathematics:

Finding the shortest path? Thanks to graph theory!

During this workshop, the pupils get an introduction to graph theory and learn how different theoretical concepts are used to model and solve problems that arise in daily life, for example in logistics and planning. The pupils can actively participate in the workshop and in various practical exercises, they have the opportunity to test by themselves the concepts addressed by the workshop.

The workshop covers among others:
- the problem of the seven bridges of Königsberg
- Eulerian and semi-Eulerian graphs
- weighted graphs
- Dijkstra’s algorithm to find the shortest path
- the Traveling Salesman problem
- Google’s PageRank algorithm
- applications of graph theory in daily life

This workshop is suited for pupils from 4 / 10e onwards.

Language

The main languages used during the workshop are French and Luxembourgish. Special arrangements are possible for workshops in German or English.

Time schedule

This workshop is offered either as a full-day (6.5 hrs.) or as a half-day (3-4 hrs.) course.

The full-day workshops take place from 9:00h till 15:30h with a lunch break of one hour. During the lunch break the students can get some food from the restaurants that are located on Campus Belval and in Belval Plaza, or they can use the canteen. The lunch schedule need to be observed, so that the afternoon activities can resume on time.

Teachers that choose the half-day version of the course are free to choose their preferred starting time (can be done during registration procedure).

Location

The workshops in mathematics take place in the Maison du Savoir (MSA) on Campus Belval.

If you arrive by car or coach, take the A4 and keep it until the end, then follow the signs towards "Belval". On the campus, there are no signs to indicate the way to Maison du Savoir. Please use the map below to find your way.

If you arrive by train, the stop is "Belval Université". Our building is 10 minutes away from the train station by foot. There are also several buses that you can take to arrive on the campus.

 

 

 

Keep a secret? Thanks to Number Theory!

This mathematics workshop allow students to learn how number theory is applied to secure communications. Through practical exercises such as decryption of a coded message with a cipher wheel, the student will discover how an encryption
algorithm works and understand the underlying number theory.

They will tackle different mathematical concepts:
- the Euclidean division (division with remainder)
- the greatest common divisor
- the extended Euclidean algorithm
- Fermat's little theorem
- the RSA-algorithm

If the teachers wish to prepare their classes before the workshop, corresponding materials that can be used to work with the students will be provided. (For more details see the Prerequisite tab)

This workshop is suited for pupils from 3e / 11e  onwards.
The workshop is flexible and the pace is adapted to the level of each class.

Language

The main languages used during the workshop are French and Luxembourgish. Special arrangements are possible for workshops in German or English.

Time schedule

The workshops take place from 9:00h till 15:30h with a lunch break of one hour. During the lunch break the students can get some food from the restaurants that are located on Campus Belval and in Belval Plaza, or they can use the canteen. The lunch schedule need to be observed, so that the afternoon activities can resume on time.

Prerequisite

If you wish to prepare the class before the workshop, you can review or introduce the following concepts:

a) The Euclidean division (i.e. the division with remainder) and the Euclidean algorithm (for the division, the case of a negative dividend/divisor should also be considered).

b) The Greatest common divisor (gcd) of two integers and Bézout's identity that gives the gcd of two integers as a linear combination of these integers. (For example 3 = gcd(6, 15) = -12*6 + 5*15). Such a linear combination can be obtained by means of the extended Euclidean algorithm.

c) The definition of a prime number.

d) The basic rules of exponentiation.

Materials that can be used for the preparation will be provided.

Location

The workshops in mathematics take place in the Maison du Savoir (MSA) on Campus Belval.

If you arrive by car or coach, take the A4 and keep it until the end, then follow the signs towards "Belval". On the campus, there are no signs to indicate the way to Maison du Savoir. Please use the map below to find your way.

If you arrive by train, the stop is "Belval Université". Our building is 10 minutes away from the train station by foot. There are also several buses that you can take to arrive on the campus.

 

 

 

At the end of a workshop, each student receives a certificate attesting to his participation.

To book a workshop at the Scienteens Lab, register online with Appointy or contact the Scienteens Lab team by email.

 

Interested in mathematics? Wondering what kind of job you could do?
Have a look at the booklet "Les métiers des mathématiques et de l'informatique" published by Onisep (in French).