Complex Analysis Course
Master complex analysis through conformal mappings, residue calculus, and singularity analysis for solving advanced integrals and extending functions rigorously.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This Complex Analysis Course provides a targeted pathway to mastering conformal maps, Möbius transformations, and mapping the upper half-plane to the unit disc, then applies these tools to residue calculus, contour integration, and singularity analysis. You'll practise solving real integrals, handling poles and essential singularities, and using analytic continuation, while learning clear templates and notation for rigorous, publication-ready solutions.
Elevify advantages
Develop skills
- Conformal mapping mastery: design Möbius maps from half-plane to unit disc.
- Residue calculus fluency: evaluate tough real integrals via contour methods fast.
- Singularity analysis skills: classify poles, essentials, and removable points.
- Analytic continuation tools: extend meromorphic functions across complex domains.
- Rigorous writeup techniques: present complex solutions clearly and professionally.
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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