Complex Numbers Course
Gain expertise in complex numbers, progressing from a+bi notation to polar and exponential representations. Explore conjugates, modulus, inverses, De Moivre’s Theorem, and root calculations, bolstered by geometric insights that refine mathematical reasoning and problem-solving abilities in practical scenarios.

from 4 to 360h flexible workload
valid certificate 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 operations, pitfalls, conjugates, modulus, and inverses. Learners convert between rectangular, polar, and exponential forms, apply Euler’s formula, and use De Moivre’s Theorem for powers and roots. Visualisation in the complex plane enhances understanding of rotations, dilations, and geometric verification.
Elevify advantages
Develop skills
- Master conjugates, modulus, and inverses using efficient, precise techniques.
- Execute complex arithmetic confidently across a+bi, polar, and exponential formats.
- Visualise complex numbers through geometric rotations, dilations, and transformations.
- Utilise De Moivre’s Theorem for swift computation of powers and k-th roots.
- Convert accurately between rectangular and polar forms, minimising numerical errors.
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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