Advanced

The Mathematics Advanced Year 11 course has been developed on the assumption that students have studied the content and achieved many of the outcomes of the Stage 5.3 Mathematics Course.

The Mathematics Advanced course is a calculus-based course focused on developing student awareness of mathematics as a unique and powerful way of viewing the world to investigate order, relation, pattern, uncertainty and generality. The course provides students with the opportunity to develop ways of thinking in which problems are explored through observation, reflection and reasoning.

All students studying the Mathematics Advanced course will sit for an HSC examination.

The study of Mathematics Advanced in Stage 6:

• enables students to develop their knowledge, understanding and skills in working mathematically and in communicating concisely and precisely

• provides opportunities for students to consider various applications of mathematics in a broad range of contemporary contexts through the use of mathematical modelling and use these models to solve problems related to their present and future needs

• provides opportunities for students to develop ways of thinking in which problems are explored through observation, reflection and reasoning

• provides a basis for further studies in disciplines in which mathematics and the skills that constitute thinking mathematically have an important role

• provides an appropriate mathematical background for students whose future pathways may involve mathematics and its applications in a range of disciplines at the tertiary level.

The Mathematics Advanced Year 11 course content comprises five Topics, with the Topics divided into Subtopics.

 Functions

• Working with Functions

Trigonometric Functions

• Trigonometry and Measure of Angles

• Trigonometric Functions and Identities

Calculus

• Introduction to Differentiation

Exponential and Logarithmic Functions

• Logarithms and Exponentials

Statistical Analysis

• Probability and Discrete Probability Distributions