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-finding techniques, enhanced by geometric insights that boost your mathematical reasoning and problem-solving abilities in practical scenarios.
flexible workload from 4 to 360h
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 operations, avoiding mistakes, 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. Visualising in the complex plane helps build intuition for rotations, scaling, and verifying results geometrically.
Elevify advantages
Develop skills
- Master conjugates, modulus, and inverses using quick and 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 to find powers and all k-th roots efficiently.
- Convert accurately between rectangular and polar forms while minimising 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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