Introduction to Complex Numbers — What is a complex number?; Imaginary and complex numbers; Powers of i; Arithmetic with complex numbers; The complex conjugate; Roots of polynomials
Argand Diagrams and Modulus-Argument Form — The Argand diagram; Modulus and argument; Modulus–argument (polar) form; Multiplying and dividing in mod-arg form; De Moivre's theorem; Loci on the Argand diagram
De Moivre's Theorem — De Moivre's Theorem
Loci in the Argand Diagram — Loci in the Argand Diagram