2019-2020 / MATH0073-1

Elementary mathematics

Part 1

Part 2

Duration

Part 1 : 10h Th, 5h Pr
Part 2 : 20h Th, 25h Pr, 15h Mon. WS

Number of credits

 Bachelor in mathematics7 crédits  

Lecturer

Part 1 : Pierre Mathonet
Part 2 : Pierre Mathonet

Coordinator

Pierre Mathonet

Language(s) of instruction

French language

Organisation and examination

Teaching in the first semester, review in January

Schedule

Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

Part 1

This course component is given both to students in Mathematics and in Physics.
The course contains concepts of Boolean logic and naive set theory. These are used to deduce some proof techniques. We will review elementary theory of complex numbers and summation symbols. We will prove a few famous formulas, as a matter of illustration.


 

Part 2

This course is introduced at the begining of the studies in mathematics in order to make the transition from the secondary school to the Univesrity easier, and therefore help the students to pass the exams of the first year.
We will review some concepts of common use in the secondary school but we will get a deeper understanding of this concepts, by focusing on the logical links between the concepts and on the proofs, rather than on the computation methods.
This component is a continuation of the first component of "Mathématiques élémentaires", which contains concepts of Boolean logic and naive set theory. These concepts are used to deduce some techniques to write proofs.
In this component, we will review basic concepts of number theory, from the natural numbers to the rational numbers and we will review some basics of combinatorics and trigonometry.
We will also review important concepts of analysis and geometry, and see on concrete examples hgow to write down, read and study texts of mathematics.
 

Learning outcomes of the learning unit

Part 1

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

Part 2

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 also be able to write down proofs of new properties related to the course contents.

Prerequisite knowledge and skills

Part 1

None

Part 2

None

Planned learning activities and teaching methods

Part 1

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 exercise sessions can be proposed to the students during the semester.

Part 2

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.
Several tests will be organized during the smester in order to encourage the students to work regularly.
The students will also be asked to solve exercises online on the wims platform.

Mode of delivery (face-to-face ; distance-learning)

Part 1

It's a face to face mode of delivery.

Part 2

It's a face to face mode of delivery. A part of the exercise sessions is to be made online.

Recommended or required readings

Part 1

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

Part 2

The documents are available on my web page
www.geodiff.ulg.ac.be

Assessment methods and criteria

Part 1

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 schedule of the exam is set by the conseil des études en mathématiques/ and or CE en Physique.
In mathematics, this course component is a part of the"Mathématiques élémentaires", and the evaluation will be merged with the evaluation of this course. In Physics, it is a part of Algèbre I, and the evaluation will be merged with the one of Algèbre I.

Part 2

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, but a part of the grade for this exam will be obtained during the online exercises sessions.
 
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 schedule of the exam is set by the conseil des études en mathématiques.

Work placement(s)

Organizational remarks

Contacts

Part 1

For theory and exercices, feel free to contact me by email (see below) to make an appointment or come to my office :
Email : P.Mathonet@ulg.ac.be Phone : +32(0)4/366.94.80 Department of Mathematics, Allée de la Découverte, 12, B37, 4000 Liège Belgium Office 0/27.
Students in Mathematics can also contact Mr. J. Leroy, by e-mail, or at his office (building B37).
Students in Physics can also contact Mrs Lahaye or Massuir, by e-mail, or at their office (building B37).

Part 2

For theory and exercices, feel free to contact me by email (see below) to make an appointment or come to my office :
Email : P.Mathonet@uliege.be Phone : +32(0)4/366.94.80 Department of Mathematics, Allée de la Découverte, 12, B37, 4000 Liège Belgium Office 0/27.
You can also contact Mr. J. Leroy, by e-mail, or at his ofice (building B37).

Adaptation of teaching commitments following the COVID-19 pandemic for the May-June 2020 session

Teaching methods implemented : distance-learning

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Assessment subjects

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Assessment methods

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Contacts

Pierre Mathonet : P.Mathonet@uliege.be
Julien Leroy : j.leroy@uliege.be
 

Adaptation of teaching commitments following the COVID-19 pandemic for the Aug-Sept 2020 session

Assessment subjects

Voir les partims

Part 1

Comme indiqué dans lengagement pédagogique pré-covid :
En Mathématiques, ce composant fait partie du cours "Mathématiques élémentaires", et l'évaluation pour les deux composants se déroulera idéalement en même temps, et sera intégrée pour former la note finale.
En Physique, ce composant fait partie du cours "Algèbre I" et son évaluation aura lieu en même temps que celle d'Algèbre I. Une seule note sera proposée en intégrant les compétences acquises pour les deux composants. Il est utile dans ce cadre de connaître les définitions mais surtout de pouvoir les appliquer dans la suite du cours d'Algèbre I

Part 2

La matière est celle de l'examen de janvier et de juin.
Pour toute précision, contacter P.Mathonet@uliege.be

Assessment methods

Voir les partims

Part 1

Comme indiqué dans l'engagement pédagogique pré-covid 19
En Mathématiques, ce composant fait partie du cours "Mathématiques élémentaires", et l'évaluation pour les deux composants se déroulera en même temps, et sera intégrée pour former la note finale.
En Physique, ce composant fait partie du cours "Algèbre I" et son évaluation aura lieu en même temps que celle d'Algèbre I. Une seule note sera proposée en intégrant les compétences acquises pour les deux composants. Il est utile dans ce cadre de connaître les définitions mais surtout de pouvoir les appliquer dans la suite du cours d'Algèbre I.
Les modalités sont décrites dans le cours algèbre I

Part 2

L'examen sera écrit et réalisé à distance. Les modalités seront les mêmes que pour l'examen de juin :
Il se déroulera de la façon suivante :
a) Au moment prévu à l'horaire, chaque étudiant recevra sous format électronique (fichier pdf) un questionnaire d'examen.
b) Il y aura bien sûr plusieurs questionnaires.
c) Les réponses à ce questionnaire devront être transmises électroniquement (par exemple, scan ou photos des pages rédigées) dans un délai imparti. Les étudiants sont invités à se renseigner sur les meilleures façons de produire un document lisible.
- Je ne m'attends pas à ce que vous n'utilisiez pas de machine à calculer (la tentation serait trop forte si vous avez un doute sur la valeur de cos(pi/3)...). Il vous sera cependant demandé de fournir des explications de vos développements, en les justifiant au maximum.
- La théorie se fait forcément à livre ouvert, donc il n'y a pas de restitution pure. Cette partie est remplacée par des questions/exercices de nature théorique. Il reste donc important de bien comprendre/retravailler la matière enseignée tant au cours théorique qu'aux séances d'exercices.
- La répartition des points Exercices/théorie sera la même que celle de juin, avec environ 20% des points sur la théorie et environ 80% sur les exercices.

Contacts

P.Mathonet

Part 1

Pour le cours théorique et les exercices, vous pouvez me contacter, de préférence par email (voir plus bas) pour fixer un rendez-vous, ou en venant directement à mon bureau :
Email : P.Mathonet@ulg.ac.be Tél : +32(0)4/366.94.80 Département de Mathématique, Allée de la Découverte, 12, B37, 4000 Liège, Sart-Tilman. Bureau 0/27.
Les étudiants mathématiciens peuvent contacter M. J. Leroy, également par e-mail, ou au bâtiment B37.
Les étudiants physiciens peuevnt contacter les assistantes en charge du cours, Mmes Lahaye et Massuir, par e-mail, ou au bâtiment B37.

Part 2

P. Mathonet et J. Leroy

Items online

Part 1

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