Specialist Mathematics’ major domains are
Vectors and matrices, Real and complex
numbers, Trigonometry, Statistics and
Calculus.
Specialist Mathematics is designed for
students who develop confidence in their
mathematical knowledge and ability and
gain a positive view of themselves as
mathematics learners. They will gain an
appreciation of the true nature of
mathematics, its beauty, and its power.
Students learn topics developed
systematically, with increasing levels of
sophistication, complexity and connection,
building on functions, calculus, and statistics
from Mathematical Methods, while vectors,
complex numbers and matrices are
introduced. Functions and calculus are
essential for creating models of the physical
world. Statistics describe and
analyse phenomena involving probability,
uncertainty and variation. Matrices, complex
numbers and vectors are essential for explaining abstract or complex relationships in scientific and technological
endeavours.
Student learning experiences range from
practising essential mathematical routines to
developing procedural fluency, investigating scenarios, modelling the real
world, solving problems and explaining
reasoning.
Pathways
 Objectives

A course of study in Specialist Mathematics
can establish a basis for further education
and employment in the fields of science, all
branches of mathematics and statistics,
computer science, medicine, engineering,
finance and economics.
 By the conclusion of the course of study, students will:
 Select, recall and use facts, rules,
definitions and procedures drawn from
Vectors and matrices, Real and complex
numbers, Trigonometry, Statistics and
Calculus
 comprehend mathematical concepts and
techniques drawn from Vectors and
matrices, Real and complex numbers,
Trigonometry, Statistics and Calculus
 communicate using mathematical,
statistical and everyday language and
conventions
 evaluate the reasonableness of solutions
 justify procedures and decisions, and
prove propositions by explaining
mathematical reasoning
 solve problems by applying mathematical
concepts and techniques drawn from
Vectors and matrices, Real and complex
numbers, Trigonometry, Statistics and
Calculus.

Structure
Specialist Mathematics will be undertaken in conjunction with, or on completion of, Mathematical
Methods.
Unit 1
 Unit 2
 Unit 3
 Unit 4

Combinatorics,
vectors and proof
 Combinatorics
 Vectors in the
plane
 Introduction to
proof
 Complex numbers,
trigonometry,
functions and
matrices
 Complex numbers
1
 Trigonometry and
functions
 Matrices
 Mathematical
induction, and further
vectors, matrices and
complex numbers
 Proof by
mathematical
induction
 Vectors and
matrices
 Complex numbers
2
 Further statistical and
calculus inference
 Integration and
applications of
integration
 Rates of change
and differential
equations
 Statistical
inference

Assessment
Schools devise assessments in Units 1 and 2 to suit their local context.
In Units 3 and 4, students complete four summative assessments. The results from each assessment are added together to provide a subject score out of 100. Students will also receive
an overall subject result (A–E).
Summative assessments
Unit 3
 Unit 4

Summative internal assessment 1 (IA1): • Problemsolving and modelling task
 20%
 Summative internal assessment 3 (IA3): • Examination
 15%

Summative internal assessment 2 (IA2): • Examination
 15%
 Summative external assessment (EA): • Examination
 50%

Enrol