Teacher(s)
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 grade of the second exam session (in June) relies on the parts 1. and 2. according to the ratios described above. That grade is final, and fixed for all subsequent exam sessions of the academic year.
- in-class and take-home assignments : evaluation by the teachers of the quality of writing and reasoning, for two thirds of the final grade,
- individual written and oral presentation of a portfolio based on the work during the academic year, for one third of the final grade.
The grade of the second exam session (in June) relies on the parts 1. and 2. according to the ratios described above. That grade is final, and fixed for all subsequent exam sessions of the academic year.
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
Programmes / formations proposant cette unité d'enseignement (UE)
Title of the programme
Sigle
Credits
Prerequisites
Learning outcomes
Bachelor in Mathematics
