Complex Numbers Course
This course provides a thorough introduction to complex numbers, progressing from basic a+bi form to polar and exponential representations. Participants will master essential operations like conjugates, modulus, and inverses, apply De Moivre’s Theorem for powers and roots, and gain geometric intuition in the complex plane to enhance problem-solving and mathematical reasoning skills.
4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
Explore complex numbers starting with a+bi form, covering algebraic operations, conjugates, modulus, and inverses. Convert between rectangular, polar, and exponential forms, apply Euler’s formula and De Moivre’s Theorem for powers and roots, and develop intuition through visual representations in the complex plane including rotations and dilations.
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, dilations, and geometric transformations.
- Use De Moivre’s Theorem for efficient powers and k-th roots calculations.
- 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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