Advanced topics in mathematics 2

lmat2920  2019-2020  Louvain-la-Neuve

Advanced topics in mathematics 2
Note from June 29, 2020
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
5 credits
30.0 h
Q2
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 :

1 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
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.
Faculty or entity
MATH


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

Title of the programme
Sigle
Credits
Prerequisites
Aims
Master [120] in Mathematics