2020-2021 / MATH0257-2

Complex analysis

Duration

30h Th, 30h Pr

Number of credits

 Bachelor in mathematics6 crédits 
 Master in mathematics (120 ECTS)6 crédits 
 Master in mathematics (60 ECTS)6 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.

Organisational adjustments related to the current health context

The space in the classroom being sufficient, the course will be face-to face under yellow or orange code. The exams will also be face-to-face in the same situation.

Recommended or required readings

Notes are handed out at the beginning of the course.

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.

An examination comprising an oral part on the theory and a written part on the exercices will be organized during the first session.
A similar examination will be organized during the second session.

Work placement(s)

Organizational remarks

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/