Complex Numbers Course
Gain mastery over complex numbers, starting from a+bi notation through to polar and exponential representations. Explore conjugates, modulus, inverses, De Moivre’s Theorem, and root calculations, enhanced by geometric perspectives and verification techniques that boost your mathematical reasoning and problem-solving abilities in real-world applications.
from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course offers a quick and practical way to master complex numbers in a+bi form, covering key algebraic operations, avoiding common errors, conjugates, modulus, and inverses. You will switch between rectangular, polar, and exponential forms, apply Euler’s formula, and use De Moivre’s Theorem for powers and roots. Visual exercises in the complex plane will strengthen your understanding of rotations, dilations, and geometric verification.
Elevify advantages
Develop skills
- Master conjugates, modulus, and inverses using efficient and precise techniques.
- Carry out complex arithmetic confidently in rectangular, polar, and exponential forms.
- Visualise complex numbers through geometric rotations, dilations, and transformations.
- Use De Moivre’s Theorem to calculate powers and k-th roots effectively.
- Convert accurately between rectangular and polar forms while minimising numerical 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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