Complex Numbers Course
Gain mastery over 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 prowess in a concise, effective manner.

4 to 360 hours of flexible workload
certificate valid in your country
What Will I Learn?
This course provides a quick and practical guide to mastering complex numbers in a+bi form, covering essential algebraic operations, common mistakes, conjugates, modulus, and inverses. Learners will 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 techniques.
- Execute complex arithmetic confidently across rectangular, polar, and exponential forms.
- Visualise complex numbers through geometric rotations, dilations, and transformations.
- Utilise De Moivre’s Theorem for efficient 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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