HSC Year 12 Mathematics Extension 2 Complex Numbers
Course

HSC Year 12 Mathematics Extension 2 – Complex Numbers

3.1 Complex Numbers
3.2 Complex Conjugates
3.3 Argand Diagram
3.4 Polar Form
3.5 De Moivre's Theorem

23 Lessons

Course Materials

COMPLEX NUMBERS

Negative Discriminant and Imaginary Numbers

Introduction to Complex Numbers

Operations with Complex Numbers

Equality of Complex Numbers

COMPLEX CONJUGATES

Complex Conjugates

Conjugates and Division of Complex Numbers

Square Roots of Complex Numbers

ARGAND DIAGRAM

2-D Vectors

Modulus

Complex Number Plane or Argand Diagram

Equations over Complex Number Field

POLAR FORM

Modulus-Argument (Polar) Form

Properties of Argument

Conversion between Cartesian and Polar Forms

DE MOIVRE'S THEOREM

De Moivre's Theorem

Roots of Unity in Complex Numbers

Roots of Complex Numbers

Factorising using Complex Numbers