Complex Numbers Course
Gain expertise in complex numbers, starting from a+bi notation through to polar and exponential representations. Cover conjugates, modulus, inverses, De Moivre’s Theorem, and roots, using geometric insights and checks to boost your mathematical thinking and problem-solving abilities in practical scenarios.
from 4 to 360h flexible workload
certificate valid 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 algebra operations, avoiding mistakes, conjugates, modulus, and inverses. You'll switch between rectangular, polar, and exponential forms, apply Euler’s formula, and use De Moivre’s Theorem for powers and roots. Visualising in the complex plane helps build intuition for rotations, scaling, and verifying results geometrically.
Elevify advantages
Develop skills
- Master conjugates, modulus, and inverses using quick, precise techniques.
- Handle complex arithmetic confidently in rectangular, polar, and exponential forms.
- Visualise complex numbers as rotations, scalings, and geometric changes.
- Use De Moivre’s Theorem to find powers and all k-th roots efficiently.
- Convert between rectangular and polar forms while managing numerical accuracy.
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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