6 ECTS credits
155 h study time

Offer 1 with catalog number 1021357BNR 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 must have followed ‘Linear Algebra’ and 'Mathematical Analysis I' and 'Mathematical Analysis II', before they can enroll for 'Complex Analysis’.
Taught in
Dutch
Faculty
Faculty of Sciences and Bioengineering Sciences
Department
Mathematics
Educational team
Philippe Cara (course titular)
Tomas Everaert
Activities and contact hours
30 contact hours Lecture
32 contact hours Seminar, Exercises or Practicals
10 contact hours Independent or External Form of Study
Course Content

Complex functions in one variable: analytic functions, the Cauchy-Goursat Theorem; the resiu 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, 2220170019949, 2023
Additional info

http://homepages.vub.ac.be/~pcara/teaching.html#Complexe Ph. Cara, Complexe Analyse (VUB Uitgaven nr. 126)
Exercise assignments will be communicated during the year.

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.

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

This offer is part of the following study plans:
Bachelor of Mathematics and Data Science: Standaard traject (only offered in Dutch)