ACMSM085
examine and use multiplication as a linear transformation in the complex plane
ACMSM085 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM083
prove and use De Moivre’s theorem for integral powers.
ACMSM083 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM084
examine and use addition of complex numbers as vector addition in the complex plane
ACMSM084 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM107
use the cross product to determine a vector normal to a given plane
ACMSM107 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM082
define and use multiplication, division, and powers of complex numbers in polar form and the geometric interpretation of these
ACMSM082 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM098
use and apply the notation \(\left|x\right|\) for the absolute value for the real number \(x\) and the graph of \(y=\left|x\right|\)
ACMSM098 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM104
use vector equations of curves in two or three dimensions involving a parameter, and determine a ‘corresponding’ Cartesian equation in the two-dimensional case
ACMSM104 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM109
recognise the general form of a system of linear equations in several variables, and use elementary techniques of elimination to solve a system of linear equations
ACMSM109 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM080
use the modulus \(\left|z\right|\) of a complex number z and the argument \(Arg\;(z)\) of a non-zero complex number \(z\) and prove basic identities involving modulus and argument
ACMSM080 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum