Complex Numbers Course
This course provides a thorough mastery of complex numbers, progressing from the form a+bi to polar and exponential representations. Participants will explore conjugates, modulus, inverses, De Moivre’s Theorem, and roots, enhanced by geometric insights and verification techniques that refine mathematical reasoning and problem-solving abilities.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This course offers a swift, practical route to mastering complex numbers in a+bi form, covering essential algebraic operations, frequent errors, conjugates, modulus, and inverses. Learners will transform between rectangular, polar, and exponential formats, employ Euler’s formula, and utilise De Moivre’s Theorem for powers and roots. Visualisation in the complex plane fosters intuition for rotations, dilations, and geometric validation of outcomes.
Elevify advantages
Develop skills
- Master complex conjugates, modulus, and inverses using efficient methods.
- Conduct complex arithmetic confidently in rectangular, polar, and exponential forms.
- Visualise complex numbers through geometric rotations, dilations, and transformations.
- Apply De Moivre’s Theorem to calculate powers and k-th roots effectively.
- Convert between rectangular and polar forms whilst managing numerical 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 workload.What our students say
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