Duration
Part 1 : 10h Th, 5h Pr
Part 2 : 20h Th, 25h Pr, 15h Mon. WS
Number of credits
| Bachelor in mathematics | 7 crédits |
Lecturer
Part 1 : Pierre Mathonet
Part 2 : Pierre Mathonet
Coordinator
Language(s) of instruction
French language
Organisation and examination
Teaching in the first semester, review in January
Schedule
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.
The lectures will change a lot during this academic year. New lecture notes will be produced to be more suited to the new contents.
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).
Items online
Part 1
Notes
Lecture notes will be set on my webpage as soon as they are ready.