2023-2024 / MATH0073-1

Elementary mathematics


30h Th, 30h Pr, 15h Mon. WS

Number of credits

 Bachelor in mathematics7 crédits 


Julien Leroy

Language(s) of instruction

French language

Organisation and examination

Teaching in the first semester, review in January


Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

This course is introduced at the beginning of the mathematics curriculum to ease the transition from high school to university and thus promote success in the first year.

The aim is to review certain points of mathematical teaching that have been covered or used in the previous curriculum, but not always in depth. The emphasis is on logic and the links between concepts, rather than on methods of calculation, although these will not be forgotten.

Topics covered will include logic, some elements of (naive) set theory, functions and applications, arithmetic and modular arithmetic.


Learning outcomes of the learning unit

The topics that are considered here ar of fundamental interest for students in mathematics.

At the end of the series of lectures, the students will have a deep knowledge of the course contents. They will know the proofs of the theory that is exposed in the lectures and will be able to explain them in full detail.

They will be able to use techniques learnt in this course to produce valid arguments and will be able to compute with complex numbers.


Prerequisite knowledge and skills


Planned learning activities and teaching methods

The theroy is explained in lectures of classical type (ex cathedra). However, students are most often required to make exercises during the lectures, on the concepts that are explained.

The lectures are followed by exercises sessions where personnal work is mandatory.

Online exercises will be proposed.


Mode of delivery (face to face, distance learning, hybrid learning)

Blended learning

Additional information:

The course will be organized in face-to-face, except maybe in some particular case where podcast will be available.
Some exercises will also be organized online on WIMS.

Recommended or required readings

The lecture notes are available on my web page
They can also be ordered at the secretariat of the department of mathematics.

Exam(s) in session

Any session

- In-person

written exam ( open-ended questions ) AND oral exam

Additional information:

As usual in mathematics, there will be a theory part in the exams. Students will be asked to explain a part of the theory that is explained during the lectures. A deep understanding is required, obviously. This part will be asessed in a written or oral exam, depending on the possibilities in the schedule of the exams.

There will also be a part of the exam devoted to the exercises. This will be a written exam.

The final grade is a certain average of the grades obtained in both parts. However, a grade less than or equal to 6/20 at one of the parts will lead to a final grade less than 10/20.

The score obtained on WIMS counts for 20% of the score obtained for the exercises.

Work placement(s)

Organisational remarks and main changes to the course


Julien Leroy
Institut de mathématique Quartier Polytech, Allée de la découverte 12, Bâtiment B37 4000 Liège
Téléphone: 04/366 94 70 Email: J.Leroy@uliege.be

Association of one or more MOOCs

Items online

Lecture notes will be set on my webpage as soon as they are ready.