Complex Numbers Course
Gain full command of complex numbers, starting from a+bi form through polar and exponential representations. Cover conjugates, modulus, inverses, De Moivre’s Theorem, and root-finding, boosted by geometric views that enhance your math reasoning and problem-solving prowess. Perfect for building confidence in advanced calculations.

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 like a+bi. You'll handle basic algebra, avoid mistakes, and work with conjugates, modulus, and inverses. Learn to switch between rectangular, polar, and exponential forms, apply Euler’s formula, and use De Moivre’s Theorem for powers and roots. Visual tools in the complex plane help you grasp rotations, scaling, and verify your work geometrically.
Elevify advantages
Develop skills
- Master conjugates, modulus, and inverses using quick, precise techniques.
- Handle complex arithmetic confidently in rectangular, polar, and exponential forms.
- Visualize complex numbers through rotations, dilations, and geometric shifts.
- Use De Moivre’s Theorem to find powers and every k-th root efficiently.
- Switch between rectangular and polar forms while minimizing calculation 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 workload.What our students say
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