Complex Analysis Course
This course equips learners with essential tools in complex analysis, focusing on conformal mappings, residue calculus, and singularity analysis to solve advanced integrals and extend functions analytically, culminating in professional presentation skills.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This Complex Analysis Course provides a clear way to learn conformal maps, Möbius transformations, and how to map the upper half-plane to the unit disk, then uses these to do residue calculus, contour integration, and analyse singularities. You will work on solving real integrals, dealing with poles and essential singularities, and using analytic continuation, while picking up simple patterns and notation for strong, ready-to-publish solutions.
Elevify advantages
Develop skills
- Master conformal mapping: create Möbius maps from half-plane to unit disk.
- Get fluent in residue calculus: quickly assess hard real integrals using contour approaches.
- Build skills in singularity analysis: sort poles, essentials, and removable points.
- Learn tools for analytic continuation: stretch meromorphic functions over complex areas.
- Develop techniques for rigorous writing: show complex solutions in a clear and professional manner.
Suggested summary
Before starting, you can change the chapters and the 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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I like how the lessons are straight to the point and how I can switch chapters and skip content I don't need.

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