Mathematical Methods

Course details

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

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.

Topics

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.

Assessment

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 undertake a 2-hour external examination in 2020 and beyond.

The examination is based on the key questions and key concepts in the six topics.