Complex Numbers Course
Dive into complex numbers, progressing from basic a+bi notation to polar and exponential representations. Gain expertise in conjugates, modulus, inverses, De Moivre’s Theorem, and root-finding, enhanced by geometric perspectives that boost your mathematical intuition, reasoning, and ability to tackle complex problems effectively.
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 in a+bi form, covering key operations, pitfalls, 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. Visual exercises in the complex plane will strengthen your grasp of rotations, scaling, and geometric verification.
Elevify advantages
Develop skills
- Master conjugates, modulus, and inverses using efficient, precise techniques.
- Handle complex arithmetic confidently across rectangular, polar, and exponential formats.
- Visualise complex numbers through rotations, scaling, and geometric transformations.
- Use De Moivre’s Theorem to calculate powers and k-th roots with speed and accuracy.
- Convert seamlessly between rectangular and polar forms, minimising numerical inaccuracies.
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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