Complex Numbers Course
This course equips you with essential skills in complex numbers, covering algebraic operations from a+bi form through to polar and exponential representations. Delve into conjugates, modulus, inverses, Euler’s formula, and De Moivre’s Theorem for powers and roots. Geometric insights in the complex plane enhance intuition for rotations and transformations, boosting your problem-solving and mathematical reasoning abilities.
from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain a practical mastery of complex numbers in a+bi form, tackling algebraic operations, conjugates, modulus, and inverses. Convert seamlessly between rectangular, polar, and exponential forms using Euler’s formula. Apply De Moivre’s Theorem for powers and roots, while visualising everything in the complex plane to understand rotations, dilations, and verify results geometrically.
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 through rotations, scaling, and geometric transformations.
- Use De Moivre’s Theorem for efficient powers and k-th roots.
- Convert between rectangular and polar forms while minimising 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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