Complex Analysis Course
This course builds strong skills in complex analysis, covering conformal maps, Möbius transformations, residue calculus, contour integration, and singularity analysis. Learners will map domains effectively, evaluate challenging real integrals, tackle Laplace and Dirichlet problems, and produce clear, rigorous solutions confidently.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain expertise in conformal mappings, Möbius transformations, and mapping the upper half-plane to the unit disk, then apply these in residue calculus, contour integration, and singularity analysis. Master solving real integrals, managing poles and essential singularities, and using analytic continuation with precise templates for professional solutions.
Elevify advantages
Develop skills
- Master conformal mappings by designing Möbius transformations from half-plane to unit disk.
- Achieve fluency in residue calculus to quickly evaluate difficult real integrals using contours.
- Develop skills to classify poles, essential singularities, and removable singularities accurately.
- Learn tools for analytic continuation to extend meromorphic functions across complex domains.
- Perfect techniques for writing rigorous, professional presentations of complex analysis solutions.
Suggested summary
Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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