Mathematics: Analysis and Approaches · Topic 1: Number and algebra

AHL1.12 — Complex numbers: Cartesian form

Mathematics: Analysis and Approaches · SL / HL · syllabus-mapped notes

1. The imaginary unit and Cartesian form

   $i^2=-1$, $z=a+bi$, real and imaginary parts, conjugate and arithmetic.

2. The complex plane, modulus and argument

   Plotting $z$ on the Argand diagram; $|z|$ and $\arg z$.