Mathematics - Specialist Mathematics

Full Year

In Specialist Mathematics, students continue to develop and extend their mathematical knowledge, skills, and understanding, and are provided opportunities to use rigorous mathematical arguments and proofs and using mathematical models. It includes the study of functions and calculus.

A student studying Specialist Mathematics must also study Mathematical Methods.

A Graphics Calculator (ideally CASIO fx-CG50 AU) is required. These are available for purchase from a local retailer, or a lesser but compatible model can be loaned through the school.

Recommended background

20 credits of Stage 1 Specialist Mathematics and Mathematical Methods at a C grade or better. A solid understanding of Stage 1 Specialist Mathematics and Mathematical Methods content is vital.


The following topics provide the framework for learning in Stage 2 Mathematical Specialist:

  • Mathematical Induction
  • Complex Numbers
  • Functions and Sketching Graphs
  • Vectors In Three Dimensions
  • Integration Techniques and Applications
  • Rates Of Change and Differential Equations


Most assessment at Stage 2 is school based, but moderated by the SACE Board. The external exam is assessed externally.

Students complete one mathematical investigation and six skills and applications tasks.

Students undertake an online examination to assess mathematical understanding from all Stage 2 Specialist Mathematics topics studied. The examination requires students to demonstrate knowledge, routine skills and applications, analysis and interpretation. Students provide explanations and arguments, and use correct mathematical notation, terminology, and representations throughout the examination.

The weightings for the 8 assessment tasks is:

  • Investigations Folio (mathematical investigation) 20%
  • Skill and Applications Tasks 50%
  • External Examination 30%

Future pathways

Successful completion of Specialist Mathematics at Stage 2 prepares students for entry to tertiary courses where specialised mathematical knowledge is assumed or a prerequisite for enrolment.

Specialist Mathematics can be a pathway to mathematical sciences, engineering, and physical sciences.

Students envisaging careers in related fields will benefit from studying this subject.