# Senior Specialist Mathematics

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.

## ​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 proofCombinatoricsVectors in the planeIntroduction to proof ​Complex numbers, trigonometry, functions and matricesComplex numbers 1 Trigonometry and functions  Matrices ​Mathematical induction, and further vectors, matrices and complex numbers​Proof by mathematical induction Vectors and matricesComplex numbers 2 Further statistical and calculus inferenceIntegration 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):  • Problem-solving and modelling task ​20%​ ​Summative internal assessment 3 (IA3):  • Examination ​15% Summative internal assessment 2 (IA2):  • Examination ​15% ​Summative external assessment (EA):  • Examination ​50%

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