Mathematical Methods


Mathematical Methods develops an increasingly complex and sophisticated understanding of calculus and statistics.

About the subject

Mathematical Methods develops an increasingly complex and sophisticated understanding of calculus and statistics. By using functions and their derivatives and integrals, and by mathematically modelling physical processes, students develop a deep understanding of the physical world through a sound knowledge of relationships involving rates of change. Students use statistics to describe and analyse phenomena that involve uncertainty and variation.

Mathematical Methods provides the foundation for further study in mathematics, economics, computer sciences, and the sciences. It prepares students for courses and careers that may involve the use of statistics, such as health or social sciences. When studied together with Specialist Mathematics, this subject can be a pathway to engineering, physical science, and laser physics.

Course content

  • ATAR
  • NTCET 20 points
  • Prerequisites; Stage 1 Maths Methods 2 Semesters

Stage 2 Mathematical Methods consists of the following six topics:

  • Topic 1: Further differentiation and applications
  • Topic 2: Discrete random variables
  • Topic 3: Integral calculus
  • Topic 4: Logarithmic functions
  • Topic 5: Continuous random variables and the normal distribution
  • Topic 6: Sampling and confidence intervals.


The following assessment types enable students to demonstrate their learning in Stage 2 Mathematical Methods.

School assessment (70%)

Assessment Type 1: Skills and Applications Tasks (tests) (50%)

Assessment Type 2: Mathematical Investigation (20%)

External assessment (30%)

Assessment Type 3: Examination (30%)

Students provide evidence of their learning through eight assessments, including the external assessment component. Students undertake:

  • six skills and applications tasks (tests)
  • one mathematical investigation
  • one examination.

The school-based assessments and the external assessment will be graded with reference to the performance standards.

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