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Extension 2 · Year 12 · Module 12

Complex Numbers I

The imaginary unit $i$, arithmetic and conjugates, modulus and argument, the Argand plane, polar (mod–arg) form, multiplication and division geometry, and loci on the complex plane.

16lessons
MEX-N1NESA outcome
8–10hrs study
Start Lesson 1 →
1
Introduction to Complex Numbers
2
Arithmetic of Complex Numbers
3
Conjugates and Division
4
Modulus and Argument
5
The Argand Diagram
6
Polar (Mod–Arg) Form
7
Multiplication in Polar Form
8
Division in Polar Form
9
Powers of Complex Numbers — Introduction
10
Real and Imaginary Part Identities
11
Loci — Basics
12
Loci — Lines
13
Loci — Circles
14
Loci — Regions and Inequalities
15
Applications of Complex Numbers
16
Module 12 Synthesis & Exam Technique