Course Description

The course is intended to give students who have demonstrated general competence in the skills of Stage 5 Mathematics an understanding of and competence in some further aspects of mathematics which are applicable to the real world. It has general educational merit and is also useful for concurrent studies in science and commerce. The course is a sufficient basis for further studies in mathematics as a minor discipline at tertiary level in support of courses such as the life sciences or commerce. Students who require substantial mathematics at a tertiary level, supporting the physical sciences, computer science or engineering, should undertake the Mathematics Extension 1 course or both the Mathematics Extension 1 and Mathematics Extension 2 courses.

Main Topics Covered

Preliminary Course

  • Basic arithmetic and algebra
  • Real functions
  • Trigonometric ratios
  • Linear functions
  • The quadratic polynomial and the parabola
  • Plane geometry – geometrical properties
  • Tangent to a curve and derivative of a function

HSC Course

  • Coordinate methods in geometry
  • Applications of geometrical properties
  • Geometrical applications of differentiation
  • Integration
  • Trigonometric functions
  • Logarithmic and exponential functions
  • Applications of calculus to the physical world
  • Probability
  • Series and series applications
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Further Information

HSC Exam