Mathematics – Extension I

3 units in each of Preliminary and HSC

Board Developed Course  


This course is designed for only the very capable advanced students. It is designed for students who are interested in the study of further skills and ideas in Mathematics, or are entering studies at a tertiary level which require Mathematics as a Major Discipline.

Course Description:  

The content of this course, which includes the whole of the 2 unit 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 who 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.

 Main Topics Covered:

Preliminary Course

• Other inequalities

• Circle 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 Preliminary 2
unit course


HSC Course:

Methods of integration

• Primitive of sin2x and cos2x 

• Equation

• Velocity and acceleration as a function of x

• Projectile motion

• Simple harmonic motion

• Inverse functions and inverse trigonometric

• Induction

• Binomial theorem

• Further probability

• Iterative methods for numerical estimation
of the roots of a polynomial equation

• Harder applications of HSC 2 unit topics


Al Amanah College
Bankstown Campus
2 Winspear Avenue
Bankstown NSW 2200
P: +61 2 9708 1220
Liverpool Campus
55 Speed Street
Liverpool NSW 2170
P: +61 2 9822 8022
Salamah College
40 Hector Street
Chester Hill NSW 2162
P: +61 2 8760 1000
Glenroy Private
93 Daley Street
Glenroy VIC 3046
P: (03) 9306 7988