Complex Analysis

5 ECTS credits
145 h study time

Offer 1 with catalog number 1008054BNR for all students in the 1st semester at a (B) Bachelor - advanced level.

Semester

1st semester

Enrollment based on exam contract

Impossible

Grading method

Grading (scale from 0 to 20)

Can retake in second session

Yes

Enrollment Requirements

Students who want to enroll for this course, must have passed for 'Analyse: afleiden, integreren, wiskundige software' en must have passed or be enrolled for 'Lineaire algebra: stelsels, matrices en afbeeldingen'.

Taught in

Dutch

Faculty

Faculty of Engineering

Department

Mathematics-TW

Educational team

Philippe Cara (course titular)

Activities and contact hours

30 contact hours Lecture
32 contact hours Seminar, Exercises or Practicals

Course Content

Complex functions in one variable: analytic functions, the Cauchy-Goursat Theorem; the residue Theorem, Taylor and Laurent Series, analytic continuation, the Laplace and Fourier Transformation with applications. The Z-Transform.

Course material

Course text (Required) : Complexe analyse: residurekening en integraaltransformaties, Ph. Cara, VUB, 2220170009391, 2022

Additional info

http://homepages.vub.ac.be/~pcara/teaching.html#Complexe Ph. Cara, Complexe Analyse (VUB Uitgaven nr. 126)

Learning Outcomes

General competencies

Introducing and practicing some more advanced mathematical techniques which are frequently applied in physics and engineering sciences: complex functions and integral transformations.

Grading

The final grade is composed based on the following categories:
Written Exam determines 100% of the final mark.

Within the Written Exam category, the following assignments need to be completed:

Written theory & exercises with a relative weight of 1 which comprises 100% of the final mark.

Note: Een schriftelijk examen oefeningen (gesloten boek) telt voor 50% van de punten.

Additional info regarding evaluation

A written exam about the theory and about the exercises (both closed book) takes place during the exam session in January. Theory and Exercises both count for 50 %. The same procedure will be applied during the second session in September. Students who fail in January but obtain 60% or better on one of the parts of the exam can opt to transfer that mark to the second session.

Allowed unsatisfactory mark

The supplementary Teaching and Examination Regulations of your faculty stipulate whether an allowed unsatisfactory mark for this programme unit is permitted.

Academic context