Maths Extension 1

Course Description

The content of this course and its depth of treatment indicate that it is intended for students who have demonstrated a mastery of the skills of Stage 5 Mathematics and are interested in the study of further skills and ideas in mathematics. The course is intended to give these students a thorough understanding of and competence in aspects of mathematics, including many which are applicable to the real world. It has general educational merit and is also useful for concurrent studies of science, industrial arts and commerce. The course is a recommended minimum basis for further studies in mathematics as a major discipline at a tertiary level and for the study of mathematics in support of the physical and engineering sciences. Although the course is sufficient for these purposes, students of outstanding mathematical ability should consider undertaking the Mathematics Extension 2 course.

Main Topics Covered

Preliminary Course

  • Other inequalities
  • Further geometry
  • Further trigonometry
  • Angles between two lines
  • Internal and external division of lines into given ratios
  • Parametric representation
  • Permutations and combinations
  • Polynomials
  • Harder applications of the Mathematics
  • Preliminary course topics

HSC Course

  • Methods of integration
  • Primitive of sin x and cos x
  • Equation
  • Velocity and acceleration as a function of x
  • Projectile motion
  • Simple harmonic motion
  • Inverse functions and inverse trigonometric functions
  • Induction
  • Binomial theorem
  • Further probability
  • Iterative methods for numerical estimation of the roots of a polynomial equation
  • Harder applications of Mathematics HSC course topics

 

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Further Information

ATAR
HSC Exam
CATEGORY A