Mathematics: Applications and Interpretation · Topic 1: Number and algebra

AHL1.12 — Complex numbers: Cartesian form

Mathematics: Applications and Interpretation · SL / HL · syllabus-mapped notes

1. AIAHL1.12.1

   The imaginary unit and Cartesian form

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

2. AIAHL1.12.2

   Argand diagram and complex roots of quadratics

   Plotting $z$; modulus and argument; solving $ax^2+bx+c=0$ when $b^2-4ac<0$.