Présentation

The Master 1 Mathematics Higher Education and Research (ESR - Enseignement Supérieur et Recherche) constitutes the first year common to two tracks of the Master in Mathematics and Applications: Research and Innovation and Higher Education ("Enseignement et Agrégation"). This first year is intended for students wishing to broaden and deepen their training in mathematics in order to acquire the knowledge necessary for the preparation of a Master 2 oriented towards research or innovation, for the preparation of the concours d'agrégation, and more generally to any orientation requiring a solid background in mathematics.

In view of the international audience, courses are taught in French and English.

This first year is intended for students wishing to broaden and deepen their training in mathematics in order to acquire the knowledge necessary for the preparation of a Master 2 oriented towards research or innovation, for the preparation of the competitive examination for the agrégation, and more generally for any orientation requiring a solid background in mathematics.

The core of the program includes lectures with TD and/or TP. The evaluation includes a continuous assessment component, in the form of homework or assignments. The program for the first semester is fixed. In the second semester a choice of courses is offered, some jointly with the M1 MAPI3, with topics ranging from analysis to probability theory and statistics, from algebra to topology and geometry. The courses are taught by expert professors from the Department of Mathematics, which has very close ties with the renowned Toulouse Institute of Mathematics.

Two teaching units have a different format from the lectures. The reading seminar in the first semester operates on the principle of the flipped classroom, with student presentations and student-graded assignments. In the second semester, a research project provides an introduction to research in mathematics. Based on a book chapter or a research article, students work in relative autonomy with a supervisor and produce a thesis. This is defended and presented to the entire class.

At the end of the M1 program, students will have benefited from a very broad training in higher mathematics. They will have worked on their communication and knowledge transmission skills and will have been introduced to research in mathematics. They will then have all the keys in hand to specialize during the M2.

A selection is made at the entrance of the Master. To be admitted, it is necessary to have validated the equivalent of a third year of a Bachelor's degree in general mathematics.

Other information (timetable, speakers, list of projects, teaching resources) is accessible to students registered in the Mathematics Department in the intranet.
 

News