ACMMM111
understand and use the second derivative test for finding local maxima and minima
ACMMM111 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM117
establish and use the formula \(\int e^xdx=e^x+c\)
ACMMM117 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM142
use discrete random variables and associated probabilities to solve practical problems.
ACMMM142 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM143
use a Bernoulli random variable as a model for two-outcome situations
ACMMM143 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM150
use binomial distributions and associated probabilities to solve practical problems.
ACMMM150 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM162
establish and use the formula \(\int\frac1xdx=\ln\;x\;+c\) for \(x>0\)
ACMMM162 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMSM008
use the notation \(\begin{pmatrix}n\\r\end{pmatrix}\) or \({}^nC_r\)
ACMSM008 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM009
derive and use simple identities associated with Pascal’s triangle.
ACMSM009 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM013
use the triangle rule to find the sum and difference of two vectors.
ACMSM013 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM014
use ordered pair notation and column vector notation to represent a vector
ACMSM014 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM015
define and use unit vectors and the perpendicular unit vectors i and j
ACMSM015 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM057
define and use composition of linear transformations and the corresponding matrix products
ACMSM057 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM058
define and use inverses of linear transformations and the relationship with the matrix inverse
ACMSM058 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM068
use complex numbers in the form a+bi where a and b are the real and imaginary parts
ACMSM068 | Content Descriptions | Unit 2 | 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
ACMSM119
find and use the inverse trigonometric functions: arcsine, arccosine and arctangent
ACMSM119 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM120
find and use the derivative of the inverse trigonometric functions: arcsine, arccosine and arctangent
ACMSM120 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM122
use partial fractions where necessary for integration in simple cases
ACMSM122 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum