Complex Numbers Course
Dive into complex numbers, progressing from basic a+bi algebra to advanced polar and exponential representations. Conquer conjugates, modulus, inverses, De Moivre’s Theorem, and root-finding with geometric visuals that enhance intuition, accuracy, and problem-solving prowess in mathematics.

from 4 to 360h flexible workload
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 essential operations, conjugates, modulus, inverses, and conversions between rectangular, polar, and exponential forms. You'll explore Euler’s formula, De Moivre’s Theorem for powers and roots, and gain intuition through visuals in the complex plane for rotations and dilations.
Elevify advantages
Develop skills
- Master conjugates, modulus, and inverses using efficient techniques.
- Handle arithmetic confidently across rectangular, polar, and exponential forms.
- Visualise complex numbers through rotations, dilations, and transformations.
- Use De Moivre’s Theorem for quick computation of powers and roots.
- Convert forms accurately while minimising numerical 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.What our students say
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