5.00 credits
30.0 h + 30.0 h
Q1 and Q2
Teacher(s)
Caprace Pierre-Emmanuel; Van Schaftingen Jean;
Language
French
Content
- Elementary notions from number theory
- Numbers and inequalities
- Deductive reasoning, logical connectives and quantifiers
- Sets, relations and functions
- Proof techniques, including proofs by contradiction and by induction
- Writing and analysis of mathematical texts
Teaching methods
- Individual and group work under the teachers' guidance, presentations by the teachers and discussions of the problems and questions.
- Individual homeworks with individual and collective feedback from the teachers.
- Formative evaluation by the peers
Evaluation methods
In this course, students are evaluated in a continuous manner :
The attendance in class is required. The teachers can, by virtue of the article 72 of the General Regulations of studies and exams, propose to the board of examiners to reject the registration of a student to an exam session if he/she has not attended 80% of the course sessions.
- attendance and participation to the course sessions (group work, homeworks following the instructions received, and witnessing substantial work), for one fourth of the final grade,
- homeworks: evaluation by the teachers of the quality of writing and reasoning, for one half of the final grade,
- individual oral presentation of a portfolio based on the work during the quadrimester, for one fourth of the final grade.
The attendance in class is required. The teachers can, by virtue of the article 72 of the General Regulations of studies and exams, propose to the board of examiners to reject the registration of a student to an exam session if he/she has not attended 80% of the course sessions.
Online resources
Course material and exercise sheets available on Moodle.
Bibliography
Daniel J. Velleman, How to Prove It: A Structured Approach, Cambridge University Press, 2019.
Kevin Houston, How to Think Like a Mathematician: A Companion to Undergraduate Mathematics, Cambridge University Press, 2009.
Kevin Houston, How to Think Like a Mathematician: A Companion to Undergraduate Mathematics, Cambridge University Press, 2009.
Teaching materials
- Support de cours et énoncés d'exercices sur Moodle.
Faculty or entity
MATH
Programmes / formations proposant cette unité d'enseignement (UE)
Title of the programme
Sigle
Credits
Prerequisites
Learning outcomes
Bachelor in Mathematics
