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2026-2027 / MATH0510-1

Additional analysis

Duration

30h Th, 30h Pr

Number of credits

 Bachelor in mathematics6 crédits 

Lecturer

Edouard Daviaud

Language(s) of instruction

French language

Organisation and examination

Teaching in the first semester, review in January

Schedule

Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

This course aimes at sudying in  details systems of ordinary differential equations (existence and uniqueness of local and global solutions, special properties of autonomous and linear systems, dependance on initial conditions, ...)

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. 
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

Course materials and recommended or required readings

Platform(s) used for course materials:
- eCampus

Exam(s) in session

Any session

- In-person

written exam ( open-ended questions ) AND oral exam


Further information:

The oral exam will focus on the theory and the written exam on both theory and exercises.

If O and W are the grades of the oral exam and the written exam, the final grade will be max{W,0.5(0+W)}.

Work placement(s)

Organisational remarks and main changes to the course

Contacts

Edouard Daviaud: Edouard.Daviaud@umiege.be

Association of one or more MOOCs