### 12 Mathematics Methods

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.

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.