ACMMM064
establish and use the algebraic properties of exponential functions
ACMMM064 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM101
use exponential functions and their derivatives to solve practical problems.
ACMMM101 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM103
use trigonometric functions and their derivatives to solve practical problems.
ACMMM103 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM128
recognise and use the additivity and linearity of definite integrals.
ACMMM128 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM163
use logarithmic functions and their derivatives to solve practical problems.
ACMMM163 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM023
use function notation, domain and range, independent and dependent variables
ACMMM023 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM032
define and use radian measure and understand its relationship with degree measure
ACMMM032 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM051
use everyday occurrences to illustrate set descriptions and representations of events, and set operations.
ACMMM051 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM056
understand the notion of a conditional probability and recognise and use language that indicates conditionality
ACMMM056 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM071
establish and use the formula for the sum of the first \(n\) terms of an arithmetic sequence.
ACMMM071 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM076
use geometric sequences in contexts involving geometric growth or decay, such as compound interest.
ACMMM076 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
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
ACMMM031
establish and use the sine and cosine rules and the formula \(Area=\frac12bc\sin A\) for the area of a triangle.
ACMMM031 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM042
identify contexts suitable for modelling by trigonometric functions and use them to solve practical problems
ACMMM042 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM057
use the notation \(P(A\vert B)\) and the formula \(P(A\vert B)=P(A\cap B) / P(B)\)
ACMMM057 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum