# Mathematical Methods (T)

The major themes of Mathematical Methods are calculus and statistics. They are developed systematically, with increasing levels of sophistication and complexity. Calculus is essential for developing an understanding of the physical world because many of the laws of science are relationships involving rates of change. Statistics is used to describe and analyse phenomena involving uncertainty and variation. In developing calculus and statistical concepts, Mathematical Methods includes studies of algebra, functions and their graphs, and probability.

 Unit 1 Unit 2 Unit 3 Unit 4 Functions and graphs Trigonometric functions Counting and probability Exponential functions Arithmetic and geometric sequences and series Introduction to differential calculus Further differentiation and applications Integrals Discrete random variables The logarithmic function Continuous random variables and the normal distribution Interval estimates for proportions

## Assessment Requirements (per unit)

• Mid-semester Test (75-90 minutes)
• Investigation (2-4 week take home task) with in-class validation
• End of semester Test (90 minutes)

Students interested in Further Mathematics as a double major course of study should select Mathematical Methods and Mathematical Applications.