Mathematics Advanced

Board Developed Course - 2 Units for each of Preliminary and HSC

Exclusions: Students may not study Mathematics Standard 1 or 2 in conjunction with the Mathematics Advanced course.

Course description

Mathematics Advanced 11–12 focuses on mathematical ways of viewing the world to investigate concepts, such as order, relation, pattern, uncertainty and generality. The course provides students with the opportunity to explore mathematical problems through observation, reflection and reasoning.

What students learn

Through the study of Mathematics Advanced 11–12, students:

develop knowledge, understanding and skills in Working mathematically and communicating concisely and precisely
consider various applications of mathematics in a broad range of contemporary contexts through mathematical modelling
gain an appropriate mathematical background for future pathways which involve mathematics and its applications at the tertiary level.

Course structure and requirements

Mathematics Advanced consists of the courses Mathematics Advanced Year 11 and Mathematics Advanced Year 12. Students must study both Mathematics Advanced Year 11 and Mathematics Extension 1 Year 11 courses before they can study Year 12 Mathematics Extension courses.

Alternatively, students can study both Mathematics Advanced Year 11 and Mathematics Advanced Year 12 before they begin either Mathematics Extension 1 Year 11 and Mathematics Extension 1 Year 12, or Mathematics Extension 1 Year 12 and Mathematics Extension 2 Year 12.

Year 11 course

Functions

Working with functions
Graph transformations

Trigonometric functions

Trigonometry and measure of angles
Trigonometric identities and equations

Calculus

Introduction to differentiation

Exponential and logarithmic functions

Exponential and logarithmic functions

Statistical analysis

Probability and data

Year 12 course

Functions

Further graph transformations and modelling

Calculus

Differential calculus
Integral calculus
Applications of calculus

Sequences and series

Sequences and series

Statistical analysis

Random variables

Financial mathematics

Financial mathematics

Mathematics Advanced HSC examination specifications

The examination will consist of a written paper worth 100 marks.

Time allowed: 3 hours plus 10 minutes reading time.

A reference sheet will be provided.

NESA-approved calculators may be used.

The paper will consist of two sections.

Section I (10 marks)

There will be objective-response questions to the value of 10 marks.

Section II (90 marks)

Questions may contain parts.
There will be 37 to 42 items.
At least two items will be worth 4 or 5 marks.

Industries related to Mathematics Advanced

The knowledge and skills developed in this course can be applied across a range of career pathways.

Industries related to this course include, but are not limited to, the following outlined on the Your Career website:

Assessment: HSC course only

Mathematics Advanced

Page updated

Report abuse