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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