Complex Numbers Course
Dive into complex numbers from a+bi form to polar and exponential representations. Gain skills in conjugates, modulus, inverses, De Moivre’s Theorem, and finding roots. Build geometric understanding in the complex plane to boost your reasoning and solve problems with confidence and accuracy.

flexible workload of 4 to 360h
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 common errors, 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. Visualise everything in the complex plane to grasp rotations, scaling, and verify your calculations.
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, scaling, and geometric changes.
- Use De Moivre’s Theorem to find powers and all k-th roots efficiently.
- Convert between rectangular and polar forms while minimising calculation 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 workloadWhat our students say
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