Duration
30h Th, 30h Pr
Number of credits
| Bachelor in mathematics | 6 crédits |
Lecturer
Language(s) of instruction
French language
Organisation and examination
Teaching in the second semester
Schedule
Units courses prerequisite and corequisite
Prerequisite or corequisite units are presented within each program
Learning unit contents
Measure theory has many applications in mathematics, in particular in analysis, functional analysis, and probability theory. The course will introduce the basic notions of measures in order to define the Lebesgue measure.
Learning outcomes of the learning unit
The aims of this course are to prove and develop the results concerning the integral calculus stated in the course Analysis I.
Prerequisite knowledge and skills
Analysis I and Analysis II first part.
Planned learning activities and teaching methods
The exercises are directed by the assistants. The theory presented in the cours is complemented by several examples and exercises.
Mode of delivery (face to face, distance learning, hybrid learning)
The course will be given during the second semester. The timetable will be available at the beginning of the academic year.
Organisational adjustments related to the current health context
In case of restrictions related to a health crisis, the exams can be adapted in order to respect the imposed constraints. Face-to-face exams will be given preference. If it is not possible, the questions will be sent using webmail. The oral exam will be conducted using a software similar to Lifesize.
Recommended or required readings
Course notes, following the main taught subjects, are aviable at the beginning of the year.
Assessment methods and criteria
Below you will find information on the evaluation methods planned for in-person and remote exams as well as those planned for hybrid sessions. Depending on how the health crisis evolves, the chosen method will be communicated to you no later than one month before the start of the exam session.
The examination consists of two parts: a written one and an oral one. The written part is devoted to the resolution of problems and exercises. The oral part is devoted to the theory (mainly proofs of theorems) but also includes direct applications of the theory. If a result (considered without decimal numbers) is lower than 8/20 in one of the parts, the lowest result will contribute for two third of the total result. Otherwise, both parts will contribute equally to the final result. The expected knowledge needed for this examination will be officially announced during the year.
Work placement(s)
Organizational remarks
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.
Contacts
S. Nicolay
Analyse
Institut de Mathématique - 12 allée de la découverte Bât. B37 - Sart Tilman -Bât. B 37 - 4000 LIEGE 1
email: S.Nicolay@ulg.ac.be