Complex Numbers Course
Dive into complex numbers, progressing from a+bi notation to polar and exponential representations. Gain expertise in conjugates, modulus, inverses, De Moivre’s Theorem, and root calculations, bolstered by geometric insights that refine mathematical intuition, reasoning, and problem-solving prowess in real-world applications.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This course provides a streamlined, hands-on approach to mastering complex numbers in a+bi form, covering essential algebra, 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 intuition for rotations, scaling, and geometric verification.
Elevify advantages
Develop skills
- Master conjugates, modulus, and inverses using efficient, precise techniques.
- Execute complex arithmetic confidently across rectangular, polar, and exponential formats.
- Visualise complex numbers through geometric rotations, dilations, and transformations.
- Harness De Moivre’s Theorem for swift computation of powers and k-th roots.
- Convert seamlessly between rectangular and polar forms, minimising numerical inaccuracies.
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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