Unit 4 Specialist Mathematics
Unit 4 of Specialist Mathematics contains three topics: ‘Integration and applications of integration’, ‘Rates of change and differential equations’ and ‘Statistical inference’. In Unit 4, the study of differentiation and integration of functions continues, …
Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum
Structure of Specialist Mathematics Specialist Mathematics
Specialist Mathematics is structured over four units. The topics in Unit 1 broaden students’ mathematical experience and provide different scenarios for incorporating mathematical arguments and problem solving. The unit provides a blending of algebraic …
Structure of Specialist Mathematics | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM091
solve simple polynomial equations.
ACMSM091 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM061
prove simple results involving numbers.
ACMSM061 | Content Descriptions | Unit 2 | 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
ACMSM045
define the reciprocal trigonometric functions, sketch their graphs, and graph simple transformations of them.
ACMSM045 | Content Descriptions | Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM102
prove geometric results in the plane and construct simple proofs in three-dimensions.
ACMSM102 | Content Descriptions | Unit 3 | 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
ACMSM100
sketch the graphs of simple rational functions where the numerator and denominator are polynomials of low degree.
ACMSM100 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM130
solve simple first-order differential equations of the form \(\frac{dy}{dx}=f(x)\), differential equations of the form \(\frac{dy}{dx}=g\left(y\right)\) and, in general, differential equations of the form \(\frac{dy}{dx}=f\left(x\right)g\left(y\right)\) …
ACMSM130 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM136
consider and solve problems involving motion in a straight line with both constant and non-constant acceleration, including simple harmonic motion and the use of expressions \(\frac{dv}{dt}\), \(v\frac{dv}{dx}\) and \(\frac{d(\frac12v^2)}{dx}\) for a …
ACMSM136 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum