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ACMMM136

understand the concepts of a discrete random variable and its associated probability function, and their use in modelling data

ACMMM137

use relative frequencies obtained from data to obtain point estimates of probabilities associated with a discrete random variable

ACMMM146

use Bernoulli random variables and associated probabilities to model data and solve practical problems.

ACMMM104

understand and use the product and quotient rules

ACMMM119

recognise and use linearity of anti-differentiation

ACMMM101

use exponential functions and their derivatives to solve practical problems.

ACMMM103

use trigonometric functions and their derivatives to solve practical problems.

ACMMM128

recognise and use the additivity and linearity of definite integrals.

ACMMM111

understand and use the second derivative test for finding local maxima and minima

ACMMM117

establish and use the formula \(\int e^xdx=e^x+c\)

ACMMM142

use discrete random variables and associated probabilities to solve practical problems.

ACMMM143

use a Bernoulli random variable as a model for two-outcome situations

ACMMM150

use binomial distributions and associated probabilities to solve practical problems.

ACMMM100

establish and use the formula \(\frac d{dx}\left(e^x\right)=e^x\)

ACMMM105

understand the notion of composition of functions and use the chain rule for determining the derivatives of composite functions

ACMMM115

use the notation \(\int f\left(x\right)dx\) for anti-derivatives or indefinite integrals

ACMMM116

establish and use the formula \(\int x^ndx=\frac1{n+1}x^{n+1}+c\) for \(n\neq-1\)

ACMMM118

establish and use the formulas, \(\int\sin xdx=-\cos x+c\) and \(\int\cos xdx=\sin x+c\)

ACMMM138

recognise uniform discrete random variables and use them to model random phenomena with equally likely outcomes

ACMMM131

understand the formula \(\int_a^b{f\left(x\right)dx=F\left(b\right)-F(a)}\) and use it to calculate definite integrals.

Curriculum Types