Advanced topics in mathematics 1

6 credits

30.0 h

Teacher(s)

Roselli Paolo;

Language

English

Prerequisites

Depending on the subject, mathematics skills at the level of the end of the Bachelor in Mathematics or first year Master in Mathematics.

Main themes

The topic considered varies from year to year depending on the research interests of the course instructor.

Aims

At the end of this learning unit, the student is able to :

Contribution of the course to learning outcomes in the Master in Mathematics programme. By the end of this activity, students will have made progress in:

- Show evidence of independent learning.

- Analyse a mathematical problem and suggest appropriate tools for studying it in depth.

- Begin a research project thanks to a deeper knowledge of one or more fields and their problematic issues in current mathematics. He will have made progress in:

-- Develop in an independent way his mathematical intuition by anticipating the expected results (formulating conjectures) and by verifying their consistency with already existing results.

-- Ask relevant and lucid questions on an advanced mathematical topic in an independent manner.

Learning outcomes specific to the course.

The course aims to initiate research in the field under consideration. Specific learning outcomes vary depending on the field.

The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.

Content

This activity consists in introducing one or more advanced subjects in mathematics.
The topic considered varies from year to year depending on the research interests of the course instructor.

Teaching methods

The course is taught through lectures. During sessions, students are asked to give their contribution in the form of questions or of presentations of parts of the course as previously established by the teacher.

Evaluation methods

Assessment may take different forms, to be established by the teachers at the beginning of the course. It may be based on any possible presentations by students during the course, but it may also be supplemented by a piece of work to be submitted after the end of the course or by a more traditional oral examination. In the case of work to be submitted or of an oral examination, students may choose the language (English or French).

Faculty or entity

MATH

Programmes / formations proposant cette unité d'enseignement (UE)

Title of the programme

Sigle

Credits

Prerequisites

Aims

Master [120] in Mathematics

MATH2M