2023-2024 / MATH0081-1

Integral calculation


30h Th, 30h Pr

Number of credits

 Bachelor in mathematics6 crédits 


Samuel Nicolay

Language(s) of instruction

French language

Organisation and examination

Teaching in the second semester


Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

Measure theory has numerous applications in mathematics, particularly in analysis, functional analysis, and probability theory. This course will introduce fundamental concepts of measures, with a focus on defining the Lebesgue measure.

Learning outcomes of the learning unit

The objectives of this course are to provide proofs and further develop the results related to integral calculus as presented in Analysis I.

Prerequisite knowledge and skills

Analysis I and Analysis II first part.

Planned learning activities and teaching methods

The exercises are supervised by the teaching assistants. The theory presented in the course is complemented by numerous examples and exercises.

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

Face-to-face course

Additional information:

The course will be offered during the second semester, and the timetable will be made available at the beginning of the academic year.

Recommended or required readings

Course notes, covering the main topics taught, are available at the beginning of the year.

Exam(s) in session

Any session

- In-person

written exam ( open-ended questions ) AND oral exam

Additional information:

The examination consists of two parts: a written section and an oral section. The written part focuses on solving problems and exercises, while the oral part is dedicated to theory, primarily involving proofs of theorems, but also including practical applications of the theory. If a score (considered without decimal numbers) falls below 8/20 in either part, the lower score will contribute two-thirds to the total result. Otherwise, both parts will equally contribute to the final score. The expected knowledge required for this examination will be officially announced during the year.

Work placement(s)

Organisational remarks and main changes to the course

In case of restrictions related to a health crisis, the teaching can be adapted in order to respect the imposed constraints. For example the flipped classroom strategy could be adopted.


S. Nicolay
Institut de Mathématique - 12 allée de la découverte Bât. B37 - Sart Tilman -Bât. B 37 - 4000 LIEGE 1
email: S.Nicolay@ulg.ac.be

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