Stage 2 Specialist Mathematics draws on and deepens students' mathematical knowledge, skills, and understanding, and provides opportunities for students to develop their skills in using 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 (preferably the CASIO fx-CG50 AU) is required for this course. It can be purchased from local retailers, or a compatible model may be borrowed from the school if needed.
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.
CONTENT
Stage 2 Specialist Mathematics is a 20-credit subject.
The topics in Stage 2 extend students’ mathematical experience and their mathematical flexibility and versatility, in particular, in the areas of complex numbers and vectors. The general theory of functions, differential equations, and dynamic systems provides opportunities to analyse the consequences of more complex laws of interaction.
Specialist Mathematics topics provide different scenarios for incorporating mathematical arguments, proofs, and problem-solving.
Stage 2 Specialist Mathematics consists of the following six topics:
Topic 1: Mathematical induction
Topic 2: Complex numbers
Topic 3: Functions and sketching graphs
Topic 4: Vectors in three dimensions
Topic 5: Integration techniques and applications
Topic 6: Rates of change and differential equations
ASSESSMENT
Students are assessed using the SACE Performance Standards.
At Stage 2, 70% of the assessment is school-based and externally moderated by the SACE Board, while the remaining 30% is assessed through an external examination marked by the SACE Board.
Students undertake an external 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.
Students provide evidence of their learning through seven or eight assessments, as outlined in the Learning and Assessment Plan (LAP):
FUTURE PATHWAYS
Successful completion of Stage 2 Specialist Mathematics prepares students for tertiary courses that require a high level of mathematical knowledge or list it as a prerequisite. This subject provides a strong foundation for further study in areas such as mathematical sciences, engineering, computer science, and physical sciences.
Students considering careers in these or related fields will benefit significantly from undertaking Specialist Mathematics.
THRIVE • RESPECT • INTEGRITY
