Analysis III, 2nd part

Duration

30h Th, 30h Pr

Number of credits

Lecturer

Samuel Nicolay

Language(s) of instruction

French language

Organisation and examination

Teaching in the second semester

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,

• show the connections between the Riemann integral, the Darboux integral and the Lebesgue integral,

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

Oral examination. An exercise can be the subject of a question.

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

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