Required in stage
Optional in stage
First term
Both terms
Not organised
Next year
Alternating years
External
Prerequisites
Identical coursesComplex Analysis (B-KUL-X0C93B)
N. | Ferizović Damir (substitute) | Berezin Sereja (substitute) 
This course is taught this academic year, but not next year.Aims
After following this course:
1) the student knows about the basic concepts and results in complex analysis,
2) the student is able to give proofs around properties of analytic and harmonic functions,
3) the student is able to use the residue theorem to calculate definite integrals,
4) the student is able to construct conformal maps between simple domains.
Previous knowledge
The student has basic knowledge of integrals and differentials (including differential equations). The student is familiar with the rigorous analysis of functions of one or multiple real variables.
Identical courses
This course is identical to the following courses:
G0O03A : Complexe analyse
Is included in these courses of study
- Bachelor in de wiskunde (programma voor studenten gestart vóór 2024-2025) (Kortrijk) (Optie wiskunde) 180 ects.
Activities
3 ects. Complex Analysis: Lectures (B-KUL-X0D69a)
EnglishFormat: Lecture
26 
Second termN. | Ferizović Damir (substitute) | Berezin Sereja (substitute) Content
1) Complex differentiability and the Cauchy-Riemann conditions
2) Analytic functions, harmonic functions and power series
3) Contour integrals, Cauchy's theorem and Cauchy's integral formula
4) Theorems of Morera and Liouville and the fundamental theorem of algebra
5) Winding number and simply connected domains
6) Laurent series and isolated singularities, residues and the residue theorem
7) Applications to the calculation of definite integrals
8) Identity theorem, argument principle and Rouché's theorem
9) Analytic continuation, Gamma function
10) Conformal mappings and the Riemann mapping theorem
Course material
Textbook: Elias M. Stein en Rami Shakarchi, Complex Analysis, Princeton University Press, 2003
Toledo
3 ects. Complex Analysis: Exercises (B-KUL-X0D68a)
EnglishFormat: Practical26 Second termN. | Ferizović Damir (substitute) | Berezin Sereja (substitute) Content
1) Complex differentiability and the Cauchy-Riemann conditions
2) Analytic functions, harmonic functions and power series
3) Contour integrals, Cauchy's theorem and Cauchy's integral formula
4) Theorems of Morera and Liouville and the fundamental theorem of algebra
5) Winding number and simply connected domains
6) Laurent series and isolated singularities, residues and the residue theorem
7) Applications to the calculation of definite integrals
8) Identity theorem, argument principle and Rouché's theorem
9) Analytic continuation, Gamma function
10) Conformal mappings and the Riemann mapping theorem
Course material
Textbook, Toledo