Complex Numbers Course
Master complex numbers from a+bi to polar and exponential form. Learn conjugates, modulus, inverses, De Moivre’s Theorem, and roots, with geometric insight and checks that sharpen your mathematical reasoning and problem-solving skills.
flexible workload from 4 to 360h
valid certificate in your country
What will I learn?
The Complex Numbers Course gives you a fast, practical path to mastering a+bi, from core algebraic operations and common pitfalls to conjugates, modulus, and inverses. You will convert between rectangular, polar, and exponential forms, use Euler’s formula, and apply De Moivre’s Theorem to powers and roots. Visual work in the complex plane builds strong intuition for rotations, dilations, and geometric checks of your results.
Elevify advantages
Develop skills
- Master complex conjugates, modulus, and inverses with fast, accurate methods.
- Perform confident complex arithmetic in a+bi, polar, and exponential forms.
- Visualize complex numbers as geometric rotations, dilations, and transformations.
- Apply De Moivre’s Theorem to compute powers and all k-th roots efficiently.
- Convert between rectangular and polar forms while controlling 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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