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Complex Analysis Course

Complex Analysis Course
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.
Workload: between 4 and 360 hours

What our students say

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Great course. Lots of valuable information.
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