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HSC  |  Maths (Extension)

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Course Description

Mathematics Extension 1 is focused on enabling students to develop a thorough understanding of and competence in further aspects of mathematics. The course provides opportunities to develop rigorous mathematical arguments and proofs, and to use mathematical models more extensively.

The Mathematics Extension 1 Year 11 course includes the Mathematics Advanced Year 11 course. The Mathematics Extension 1 Year 12 course includes the Mathematics Advanced Year 12 course.


Maths (Extension)


(Preliminary and HSC)

Course Type

Board Developed

Topics studied in Year 11

  • Functions : [Further Work with Functions / Polynomials]
  • Trigonometric Functions : [Inverse Trigonometric Functions / Further Trigonometric Identities]
  • Calculus : [Rates of Change]
  • Combinatorics : [Working with Combinatorics]

Topics studied in Year 12

  • Proof : [Proof by Mathematical Induction]
  • Vectors : [Introduction to Vectors]
  • Trigonometric Functions : [Trigonometric Equations]
  • Calculus : [Further Calculus Skills / Applications of Calculus]
  • Statistical Analysis : [The Binomial Distribution]

What do you do in this course?

The Extension Mathematics course allows students who wish to pursue future studies in Mathematics to engage at a deeper level than that found in the Advanced Course. Students studying Extension Mathematics typically engage more comfortably with the theory behind the maths and are able to investigate a multitude of theoretical and abstract ways of approaching and solving problems.

How can this course help you in the future?

Extension 1 Mathematics (coupled with the Extension 2 course in Year 12) typically sets the bar of understanding and competency for first-year University students wanting to study a variety of technical fields including high-level economics and actuarial studies, engineering, medicine, software design and computer programming.