Unit 3 Specialist Mathematics
Unit 3 of Specialist Mathematics contains three topics: ‘Vectors in three dimensions’, ‘Complex numbers’ and ‘Functions and sketching graphs’. The study of vectors was introduced in Unit 1 with a focus on vectors in two-dimensional space. In this unit, …
Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM093
find the composition of two functions
ACMSM093 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM092
determine when the composition of two functions is defined
ACMSM092 | 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
ACMSM105
determine a vector equation of a straight line and straight-line segment, given the position of two points, or equivalent information, in both two and three dimensions
ACMSM105 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM106
examine the position of two particles each described as a vector function of time, and determine if their paths cross or if the particles meet
ACMSM106 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMSM112
derive the Cartesian equation of a path given as a vector equation in two dimensions including ellipses and hyperbolas
ACMSM112 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum