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Complex Numbers Course

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

What will I learn?

This course offers a quick, hands-on way to master complex numbers in a+bi form, covering key algebra 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, precise techniques.
  • Handle complex arithmetic confidently in rectangular, polar, and exponential forms.
  • Visualise complex numbers as rotations, scalings, and geometric changes.
  • Use De Moivre’s Theorem to find powers and all k-th roots efficiently.
  • Convert between rectangular and polar forms while managing numerical accuracy.

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 rich information.
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