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, General Topology
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)
The course will be given during the second semester. The timetable will be available at the beginning of the academic year.
Recommended or required readings
Course notes, following the main taught subjects, are aviable at the beginning of the year.
Assessment methods and criteria
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
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
Adaptation of teaching commitments following the COVID-19 pandemic for the May-June 2020 session
Teaching methods implemented : distance-learning
Detailed course notes have been given. Podcats have been made for answering more difficult matters.
Assessment subjects
The course matter has been given to the students.
Assessment methods
If the exams cannnot take place as initially planned, remote written examinations will be instored. The student will have to answer theoretical questions and solve exercises within a limited period of time. He will have to electronically send his answers using for example pictures of his written answers or using a word processor.
Contacts
Adaptation of teaching commitments following the COVID-19 pandemic for the Aug-Sept 2020 session
Assessment subjects
The assessment subjects are the same as in june.
Assessment methods
The method will be similar to the one used in the june session.
Contacts
Items online
Measure Theory
Course notes