At a glance
A challenging maths course that focuses on calculus and statistics. Students learn how to model real situations, solve complex problems, and communicate mathematical reasoning clearly.
Students who were successful in Australian Curriculum 10A and achieved strong A grades in Australian Curriculum Year 10 are usually well suited to this course.
This course is a good choice for students who:
- enjoy challenging maths and solving multi-step problems
- like using maths to model real-world situations and make predictions
- may need calculus and statistics for future university pathways
About this course
Specialist Methods extends Mathematical Methods by adding extra content and greater depth, especially in calculus (rates of change) and statistics (working with uncertainty and data). Students build strong skills in reasoning, proof, modelling and problem solving, and learn to use technology effectively.
Pathways
This course can support pathways into areas such as:
- science and engineering pathways that use calculus
- statistics and data-heavy university courses
- maths-based university study (including mathematics itself)
Units in this course
Students complete 2 units for a Minor or 4 units for a Major.
Unit 1: Specialist Methods
This unit builds strong foundations in functions, graphs, trigonometry, and probability.
Students will:
- work with functions and graphs, including lines, quadratics and polynomials
- use trigonometric functions and probability to solve practical problems
Unit 2: Specialist Methods
This unit introduces exponential/logarithmic functions, sequences and series, and the start of differential calculus.
Students will:
- model change using exponentials, logarithms and sequences (including financial contexts)
- learn what a derivative is and use it to solve rate-of-change and optimisation problems
Unit 3: Specialist Methods
This unit extends calculus (more differentiation and applications) and introduces integrals.
Students will:
- use advanced differentiation (including logs, exponentials and trig) to solve problems
- use integration to calculate area and model total change in real situations
Unit 4: Specialist Methods
This unit focuses on statistics and probability, including regression, random variables and statistical inference.
Students will:
- analyse bivariate data using simple linear regression and interpret results
- work with probability distributions and use inference to estimate population proportions