2023-2024 / MATH0510-1

Additional analysis


30h Th, 30h Pr

Number of credits

 Bachelor in mathematics6 crédits 


Jean-Pierre Schneiders

Language(s) of instruction

French language

Organisation and examination

Teaching in the first semester, review in January


Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

The first part contains a detailed study of systems of ordinary differential equations (existence and uniqueness of local and global solutions, special properties of autonomous and linear systems, dependance on initial conditions, ...)
The second part contains an introduction to the study of the de Rham complex.

Learning outcomes of the learning unit

At the end of the course, the students should have understood completely the results presented during the lectures. They should be able to establish these results and to use them to solve various problems.

Prerequisite knowledge and skills

A good understanding of the previous analysis, algebra and geometry courses is essential.

Planned learning activities and teaching methods

The course consists of blackboard lessons and exercises sessions.
During the lessons, the main theoretical results are introduced, established and illustrated with examples. Mathematica software is also used to clarify some points.
During the exercises sessions, the students are trained to solve by themselves various problems using the results considered in the lessons.

Mode of delivery (face to face, distance learning, hybrid learning)

Face-to-face course

Recommended or required readings

Lecture notes are handed out to students at the beginning of the course.

Exam(s) in session

Any session

- In-person

written exam ( open-ended questions ) AND oral exam

Additional information:

The oral exam focuses on theory and the written exam on exercises. The final mark is the average of the marks obtained in these exams.

Work placement(s)

Organisational remarks and main changes to the course


Jean-Pierre Schneiders Département de Mathématique (Build. B37, Office 1/60) Allée de la Découverte, 12 - 4000 Liège (Sart-Tilman) Phone : (04) 366.94.01 - E-Mail : jpschneiders@uliege.be Web page : http://www.analg.ulg.ac.be/jps/

Association of one or more MOOCs