2024-2025 / MATH0257-2

Complex analysis

Duration

30h Th, 30h Pr

Number of credits

 Bachelor in mathematics6 crédits 
 Master in mathematics, research focus6 crédits 
 Master in mathematics, teaching focus6 crédits 

Lecturer

Jean-Pierre Schneiders

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

The course is devoted to the elementary theory of functions of one complex variable.

Learning outcomes of the learning unit

At the end of the course the students should be acquainted with the basic properties of holomorphic functions of one complex variable and should be able to use these functions to solve various classical problems in mathematical analysis and physics.

Prerequisite knowledge and skills

A good understanding of previous analysis 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.
A few formative tests will be organised.

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 the exercises.

If m and M are respectively the minimum and the maximum of the grades obtained during these examinations, the final grade will be 2/3 m + 1/3 M.

Work placement(s)

Organisational remarks and main changes to the course

Exceptionally, the course will not be given in 2024-2025.

Contacts

Jean-Pierre Schneiders Département de Mathématique (Build. B37, Office 1/60) Allée de la Découverte, 12 - 4000 Liège (Sart-Tilman) Phone: (04) 366.94.01 - E-Mail: jpschneiders@uliege.be Web page: http://www.analg.ulg.ac.be/jps/

Association of one or more MOOCs