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Complex Numbers Course

Complex Numbers Course
flexible workload from 4 to 360h
valid certificate in your country

What will I learn?

This course offers a quick and practical way to master complex numbers in a+bi form, covering key operations, avoiding mistakes, conjugates, modulus, and inverses. You'll switch between rectangular, polar, and exponential forms, apply Euler’s formula, and use De Moivre’s Theorem for powers and roots. Visualising in the complex plane helps build intuition for rotations, scaling, and verifying results geometrically.

Elevify advantages

Develop skills

  • Master conjugates, modulus, and inverses using quick and precise techniques.
  • Handle complex arithmetic confidently in rectangular, polar, and exponential forms.
  • Visualise complex numbers through rotations, scaling, and geometric transformations.
  • Use De Moivre’s Theorem to find powers and all k-th roots efficiently.
  • Convert accurately between rectangular and polar forms while minimising errors.

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.
Workload: between 4 and 360 hours

What our students say

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Very great course. Lots of valuable information.
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