Complex Numbers Course
Gain expertise in complex numbers, starting from a+bi notation to polar and exponential representations. The course covers conjugates, modulus, inverses, De Moivre’s Theorem, and root calculations, enhanced by geometric insights and checks that improve mathematical reasoning and problem-solving abilities in a practical manner.
flexible workload of 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 essential algebraic operations, avoiding common mistakes, conjugates, modulus, and inverses. Learners will convert between rectangular, polar, and exponential forms, apply Euler’s formula, and use De Moivre’s Theorem for powers and roots. Visualisation in the complex plane helps build intuition for rotations, dilations, and geometric verification of results.
Elevify advantages
Develop skills
- Master conjugates, modulus, and inverses using efficient and accurate 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 effectively to find powers and all k-th roots.
- Convert between rectangular and polar forms while managing numerical errors precisely.
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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