Complex Numbers Course
This course builds mastery of complex numbers, starting from a+bi form through to polar and exponential representations. Learners gain skills in conjugates, modulus, inverses, De Moivre’s Theorem, and root calculations, enhanced by geometric insights in the complex plane that strengthen intuition, reasoning, and problem-solving abilities for practical applications.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain practical mastery of complex numbers a+bi, covering algebraic operations, conjugates, modulus, inverses, and form conversions between rectangular, polar, and exponential. Apply Euler’s formula and De Moivre’s Theorem for powers and roots, with visual complex plane work to develop intuition for rotations, dilations, and geometric verification.
Elevify advantages
Develop skills
- Master conjugates, modulus, and inverses using quick methods.
- Handle arithmetic in rectangular, polar, and exponential forms confidently.
- Visualise complex numbers through rotations, dilations, and transformations.
- Use De Moivre’s Theorem for efficient powers and roots.
- Convert forms accurately while managing 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 workloadWhat our students say
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